1cm Particle-based simulations as a tool for ... - Faculty of Physics
1cm Particle-based simulations as a tool for ... - Faculty of Physics
1cm Particle-based simulations as a tool for ... - Faculty of Physics
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<strong>Particle</strong>-<strong>b<strong>as</strong>ed</strong> <strong>simulations</strong> <strong>as</strong> a <strong>tool</strong> <strong>for</strong> studying<br />
aerosol-cloud-aerosol interactions.<br />
Anna Jaruga<br />
Hanna Pawłowska<br />
Sylwester Arab<strong>as</strong><br />
University <strong>of</strong> Warsaw<br />
<strong>Faculty</strong> <strong>of</strong> <strong>Physics</strong><br />
Institute <strong>of</strong> Geophysics
aerosol-cloud-aerosol interactions:<br />
• processed CCN <strong>for</strong>med by evaporation <strong>of</strong><br />
• collisionally-grown drops<br />
• drops within which irreversible oxidation occurred<br />
• CCN spectrum modification by wet deposition<br />
• adequate cloud µ-physics representations?
aerosol-cloud-aerosol interactions:<br />
• processed CCN <strong>for</strong>med by evaporation <strong>of</strong><br />
• collisionally-grown drops<br />
• drops within which irreversible oxidation occurred<br />
• CCN spectrum modification by wet deposition<br />
• adequate cloud µ-physics representations?
aerosol-cloud-aerosol interactions:<br />
• processed CCN <strong>for</strong>med by evaporation <strong>of</strong><br />
• collisionally-grown drops<br />
• drops within which irreversible oxidation occurred<br />
• CCN spectrum modification by wet deposition<br />
• adequate cloud µ-physics representations?
aerosol-cloud-aerosol interactions:<br />
• processed CCN <strong>for</strong>med by evaporation <strong>of</strong><br />
• collisionally-grown drops<br />
• drops within which irreversible oxidation occurred<br />
• CCN spectrum modification by wet deposition<br />
• adequate cloud µ-physics representations?
aerosol-cloud-aerosol interactions:<br />
• processed CCN <strong>for</strong>med by evaporation <strong>of</strong><br />
• collisionally-grown drops<br />
• drops within which irreversible oxidation occurred<br />
• CCN spectrum modification by wet deposition<br />
• adequate cloud µ-physics representations?
adequate cloud µ-physics representations?
adequate cloud µ-physics representations?<br />
single-moment bulk:<br />
no influence <strong>of</strong> aerosol on cloud<br />
• available liquid water is divided into<br />
categories such <strong>as</strong> cloud water or rain<br />
water<br />
• different parametrisations <strong>of</strong> source and<br />
sink terms are applied to each category<br />
qc<br />
source terms<br />
(q c , q r )<br />
qr
adequate cloud µ-physics representations?<br />
single-moment bulk:<br />
no influence <strong>of</strong> aerosol on cloud<br />
multi-moment bulk,<br />
1D-bin:<br />
aerosol may influence cloud<br />
no "memory" <strong>of</strong> drop nuclei<br />
• available liquid water is divided into<br />
categories such <strong>as</strong> cloud water or rain<br />
water<br />
• different parametrisations <strong>of</strong> source and<br />
sink terms are applied to each category<br />
qc, Nc<br />
source terms<br />
(q c , Nc, q r , N r )<br />
qr,<br />
Nr
adequate cloud µ-physics representations?<br />
single-moment bulk:<br />
no influence <strong>of</strong> aerosol on cloud<br />
multi-moment bulk,<br />
1D-bin:<br />
aerosol may influence cloud<br />
no "memory" <strong>of</strong> drop nuclei<br />
• available liquid water is divided into<br />
different histogram bins<br />
N<br />
• parametrisations <strong>of</strong> source and sink<br />
terms are applied to each bin<br />
r
adequate cloud µ-physics representations?<br />
"dry radius" (nucleus)<br />
2D-bin<br />
Eulerian<br />
"wet radius" (solution drop)<br />
single-moment bulk:<br />
no influence <strong>of</strong> aerosol on cloud<br />
multi-moment bulk,<br />
1D-bin:<br />
aerosol may influence cloud<br />
no "memory" <strong>of</strong> drop nuclei<br />
• available liquid water is divided into<br />
different histogram bins<br />
• 2D histogram is created with ”wet”<br />
and ”dry” radius<br />
• parametrisations <strong>of</strong> source and sink<br />
terms are applied to each bin<br />
r d<br />
N<br />
r
adequate cloud µ-physics representations?<br />
"dry radius" (nucleus)<br />
2D-bin<br />
Eulerian<br />
Lagrangian<br />
"wet radius" (solution drop)<br />
single-moment bulk:<br />
no influence <strong>of</strong> aerosol on cloud<br />
multi-moment bulk,<br />
1D-bin:<br />
aerosol may influence cloud<br />
no "memory" <strong>of</strong> drop nuclei<br />
• available liquid water is split between<br />
”virtual particles”<br />
• each ”virtual particle” (aka<br />
super-droplet) represents a multiplicity<br />
<strong>of</strong> particles <strong>of</strong> the same properties<br />
• particle-level <strong>for</strong>mulation <strong>of</strong> source and<br />
sink terms <strong>for</strong> each super-droplet
particle-<strong>b<strong>as</strong>ed</strong> µ-physics vs. bulk, 2-moment, bin, 2D-bin<br />
bulk 2 × N x ×N y ×N z variables<br />
q c (x,y,z;t), q r (x,y,z;t)<br />
2-moment 4 × N x ×N y ×N z variables<br />
q c (x,y,z;t), N c (x,y,z;t), q r (x,y,z;t), N r (x,y,z;t)<br />
bin N bins × N x ×N y ×N z variables<br />
N(x,y,z,r w ;t) N 0<br />
, N 1<br />
, N 2<br />
, . . .<br />
... still no tracking <strong>of</strong> in<strong>for</strong>mation on nuclei size (r d )<br />
2D-bin N d bins ×Nw bins × N x×N y ×N z vars (Lebo & Seinfeld 2011)<br />
N(x,y,z,r w ,r d ;t) N 0,0<br />
, N 0,1<br />
, ..., N 1,0<br />
, N 1,1<br />
...<br />
... next aerosol attribute one more dimension!<br />
particle N particles × N attributes vars<br />
• scales better with N attributes (e.g. aerosol chemistry)<br />
• N particles huge but ODEs cheaper to solve than PDEs<br />
• ”compact” particle-level <strong>for</strong>mulation<br />
aerosol processes ”resolved”, not parameterised
particle-<strong>b<strong>as</strong>ed</strong> µ-physics vs. bulk, 2-moment, bin, 2D-bin<br />
bulk 2 × N x ×N y ×N z variables<br />
q c (x,y,z;t), q r (x,y,z;t)<br />
2-moment 4 × N x ×N y ×N z variables<br />
q c (x,y,z;t), N c (x,y,z;t), q r (x,y,z;t), N r (x,y,z;t)<br />
bin N bins × N x ×N y ×N z variables<br />
N(x,y,z,r w ;t) N 0<br />
, N 1<br />
, N 2<br />
, . . .<br />
... still no tracking <strong>of</strong> in<strong>for</strong>mation on nuclei size (r d )<br />
2D-bin N d bins ×Nw bins × N x×N y ×N z vars (Lebo & Seinfeld 2011)<br />
N(x,y,z,r w ,r d ;t) N 0,0<br />
, N 0,1<br />
, ..., N 1,0<br />
, N 1,1<br />
...<br />
... next aerosol attribute one more dimension!<br />
particle N particles × N attributes vars<br />
• scales better with N attributes (e.g. aerosol chemistry)<br />
• N particles huge but ODEs cheaper to solve than PDEs<br />
• ”compact” particle-level <strong>for</strong>mulation<br />
aerosol processes ”resolved”, not parameterised
particle-<strong>b<strong>as</strong>ed</strong> µ-physics vs. bulk, 2-moment, bin, 2D-bin<br />
bulk 2 × N x ×N y ×N z variables<br />
q c (x,y,z;t), q r (x,y,z;t)<br />
2-moment 4 × N x ×N y ×N z variables<br />
q c (x,y,z;t), N c (x,y,z;t), q r (x,y,z;t), N r (x,y,z;t)<br />
bin N bins × N x ×N y ×N z variables<br />
N(x,y,z,r w ;t) N 0<br />
, N 1<br />
, N 2<br />
, . . .<br />
... still no tracking <strong>of</strong> in<strong>for</strong>mation on nuclei size (r d )<br />
2D-bin N d bins ×Nw bins × N x×N y ×N z vars (Lebo & Seinfeld 2011)<br />
N(x,y,z,r w ,r d ;t) N 0,0<br />
, N 0,1<br />
, ..., N 1,0<br />
, N 1,1<br />
...<br />
... next aerosol attribute one more dimension!<br />
particle N particles × N attributes vars<br />
• scales better with N attributes (e.g. aerosol chemistry)<br />
• N particles huge but ODEs cheaper to solve than PDEs<br />
• ”compact” particle-level <strong>for</strong>mulation<br />
aerosol processes ”resolved”, not parameterised
particle-<strong>b<strong>as</strong>ed</strong> µ-physics vs. bulk, 2-moment, bin, 2D-bin<br />
bulk 2 × N x ×N y ×N z variables<br />
q c (x,y,z;t), q r (x,y,z;t)<br />
2-moment 4 × N x ×N y ×N z variables<br />
q c (x,y,z;t), N c (x,y,z;t), q r (x,y,z;t), N r (x,y,z;t)<br />
bin N bins × N x ×N y ×N z variables<br />
N(x,y,z,r w ;t) N 0<br />
, N 1<br />
, N 2<br />
, . . .<br />
... still no tracking <strong>of</strong> in<strong>for</strong>mation on nuclei size (r d )<br />
2D-bin N d bins ×Nw bins × N x×N y ×N z vars (Lebo & Seinfeld 2011)<br />
N(x,y,z,r w ,r d ;t) N 0,0<br />
, N 0,1<br />
, ..., N 1,0<br />
, N 1,1<br />
...<br />
... next aerosol attribute one more dimension!<br />
particle N particles × N attributes vars<br />
• scales better with N attributes (e.g. aerosol chemistry)<br />
• N particles huge but ODEs cheaper to solve than PDEs<br />
• ”compact” particle-level <strong>for</strong>mulation<br />
aerosol processes ”resolved”, not parameterised
particle-<strong>b<strong>as</strong>ed</strong> µ-physics vs. bulk, 2-moment, bin, 2D-bin<br />
bulk 2 × N x ×N y ×N z variables<br />
q c (x,y,z;t), q r (x,y,z;t)<br />
2-moment 4 × N x ×N y ×N z variables<br />
q c (x,y,z;t), N c (x,y,z;t), q r (x,y,z;t), N r (x,y,z;t)<br />
bin N bins × N x ×N y ×N z variables<br />
N(x,y,z,r w ;t) N 0<br />
, N 1<br />
, N 2<br />
, . . .<br />
... still no tracking <strong>of</strong> in<strong>for</strong>mation on nuclei size (r d )<br />
2D-bin N d bins ×Nw bins × N x×N y ×N z vars (Lebo & Seinfeld 2011)<br />
N(x,y,z,r w ,r d ;t) N 0,0<br />
, N 0,1<br />
, ..., N 1,0<br />
, N 1,1<br />
...<br />
... next aerosol attribute one more dimension!<br />
particle N particles × N attributes vars<br />
• scales better with N attributes (e.g. aerosol chemistry)<br />
• N particles huge but ODEs cheaper to solve than PDEs<br />
• ”compact” particle-level <strong>for</strong>mulation<br />
aerosol processes ”resolved”, not parameterised
particle-<strong>b<strong>as</strong>ed</strong> µ-physics vs. bulk, 2-moment, bin, 2D-bin<br />
bulk 2 × N x ×N y ×N z variables<br />
q c (x,y,z;t), q r (x,y,z;t)<br />
2-moment 4 × N x ×N y ×N z variables<br />
q c (x,y,z;t), N c (x,y,z;t), q r (x,y,z;t), N r (x,y,z;t)<br />
bin N bins × N x ×N y ×N z variables<br />
N(x,y,z,r w ;t) N 0<br />
, N 1<br />
, N 2<br />
, . . .<br />
... still no tracking <strong>of</strong> in<strong>for</strong>mation on nuclei size (r d )<br />
2D-bin N d bins ×Nw bins × N x×N y ×N z vars (Lebo & Seinfeld 2011)<br />
N(x,y,z,r w ,r d ;t) N 0,0<br />
, N 0,1<br />
, ..., N 1,0<br />
, N 1,1<br />
...<br />
... next aerosol attribute one more dimension!<br />
particle N particles × N attributes vars<br />
• scales better with N attributes (e.g. aerosol chemistry)<br />
• N particles huge but ODEs cheaper to solve than PDEs<br />
• ”compact” particle-level <strong>for</strong>mulation<br />
aerosol processes ”resolved”, not parameterised
particle-<strong>b<strong>as</strong>ed</strong> µ-physics vs. bulk, 2-moment, bin, 2D-bin<br />
bulk 2 × N x ×N y ×N z variables<br />
q c (x,y,z;t), q r (x,y,z;t)<br />
2-moment 4 × N x ×N y ×N z variables<br />
q c (x,y,z;t), N c (x,y,z;t), q r (x,y,z;t), N r (x,y,z;t)<br />
bin N bins × N x ×N y ×N z variables<br />
N(x,y,z,r w ;t) N 0<br />
, N 1<br />
, N 2<br />
, . . .<br />
... still no tracking <strong>of</strong> in<strong>for</strong>mation on nuclei size (r d )<br />
2D-bin N d bins ×Nw bins × N x×N y ×N z vars (Lebo & Seinfeld 2011)<br />
N(x,y,z,r w ,r d ;t) N 0,0<br />
, N 0,1<br />
, ..., N 1,0<br />
, N 1,1<br />
...<br />
... next aerosol attribute one more dimension!<br />
particle N particles × N attributes vars<br />
• scales better with N attributes (e.g. aerosol chemistry)<br />
• N particles huge but ODEs cheaper to solve than PDEs<br />
• ”compact” particle-level <strong>for</strong>mulation<br />
aerosol processes ”resolved”, not parameterised
particle-<strong>b<strong>as</strong>ed</strong> µ-physics vs. bulk, 2-moment, bin, 2D-bin<br />
bulk 2 × N x ×N y ×N z variables<br />
q c (x,y,z;t), q r (x,y,z;t)<br />
2-moment 4 × N x ×N y ×N z variables<br />
q c (x,y,z;t), N c (x,y,z;t), q r (x,y,z;t), N r (x,y,z;t)<br />
bin N bins × N x ×N y ×N z variables<br />
N(x,y,z,r w ;t) N 0<br />
, N 1<br />
, N 2<br />
, . . .<br />
... still no tracking <strong>of</strong> in<strong>for</strong>mation on nuclei size (r d )<br />
2D-bin N d bins ×Nw bins × N x×N y ×N z vars (Lebo & Seinfeld 2011)<br />
N(x,y,z,r w ,r d ;t) N 0,0<br />
, N 0,1<br />
, ..., N 1,0<br />
, N 1,1<br />
...<br />
... next aerosol attribute one more dimension!<br />
particle N particles × N attributes vars<br />
• scales better with N attributes (e.g. aerosol chemistry)<br />
• N particles huge but ODEs cheaper to solve than PDEs<br />
• ”compact” particle-level <strong>for</strong>mulation<br />
aerosol processes ”resolved”, not parameterised
particle-<strong>b<strong>as</strong>ed</strong> µ-physics vs. bulk, 2-moment, bin, 2D-bin<br />
bulk 2 × N x ×N y ×N z variables<br />
q c (x,y,z;t), q r (x,y,z;t)<br />
2-moment 4 × N x ×N y ×N z variables<br />
q c (x,y,z;t), N c (x,y,z;t), q r (x,y,z;t), N r (x,y,z;t)<br />
bin N bins × N x ×N y ×N z variables<br />
N(x,y,z,r w ;t) N 0<br />
, N 1<br />
, N 2<br />
, . . .<br />
... still no tracking <strong>of</strong> in<strong>for</strong>mation on nuclei size (r d )<br />
2D-bin N d bins ×Nw bins × N x×N y ×N z vars (Lebo & Seinfeld 2011)<br />
N(x,y,z,r w ,r d ;t) N 0,0<br />
, N 0,1<br />
, ..., N 1,0<br />
, N 1,1<br />
...<br />
... next aerosol attribute one more dimension!<br />
particle N particles × N attributes vars<br />
• scales better with N attributes (e.g. aerosol chemistry)<br />
• N particles huge but ODEs cheaper to solve than PDEs<br />
• ”compact” particle-level <strong>for</strong>mulation<br />
aerosol processes ”resolved”, not parameterised<br />
}<br />
}<br />
PDE / Eulerian<br />
in particle size<br />
ODE / Lagrangian<br />
in particle size
particle-<strong>b<strong>as</strong>ed</strong> µ-physics vs. bulk, 2-moment, bin, 2D-bin<br />
bulk 2 × N x ×N y ×N z variables<br />
q c (x,y,z;t), q r (x,y,z;t)<br />
2-moment 4 × N x ×N y ×N z variables<br />
q c (x,y,z;t), N c (x,y,z;t), q r (x,y,z;t), N r (x,y,z;t)<br />
bin N bins × N x ×N y ×N z variables<br />
N(x,y,z,r w ;t) N 0<br />
, N 1<br />
, N 2<br />
, . . .<br />
... still no tracking <strong>of</strong> in<strong>for</strong>mation on nuclei size (r d )<br />
2D-bin N d bins ×Nw bins × N x×N y ×N z vars (Lebo & Seinfeld 2011)<br />
N(x,y,z,r w ,r d ;t) N 0,0<br />
, N 0,1<br />
, ..., N 1,0<br />
, N 1,1<br />
...<br />
... next aerosol attribute one more dimension!<br />
particle N particles × N attributes vars<br />
• scales better with N attributes (e.g. aerosol chemistry)<br />
• N particles huge but ODEs cheaper to solve than PDEs<br />
• ”compact” particle-level <strong>for</strong>mulation<br />
aerosol processes ”resolved”, not parameterised<br />
}<br />
}<br />
PDE / Eulerian<br />
in particle size<br />
ODE / Lagrangian<br />
in particle size
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius<br />
• concentration<br />
• ...
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius<br />
• concentration<br />
• ...<br />
N<br />
r
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius<br />
• concentration<br />
• ...<br />
N<br />
N 1 , r 1<br />
N 1 , r 1<br />
r
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius<br />
• concentration<br />
• ...<br />
N<br />
N 1 , r 1<br />
N 1 , r 1<br />
N 2 , r 2<br />
N 2 , r 2<br />
r
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius<br />
• concentration<br />
• ...<br />
N 1 , r 1<br />
N 1 , r 1<br />
N 2 , r 2<br />
N 2 , r 2<br />
N 3 , r 3<br />
N 3 , r 3<br />
N<br />
r
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius<br />
• concentration<br />
• ...<br />
N<br />
r
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius<br />
• concentration<br />
• ...<br />
N<br />
initial condition<br />
r
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius<br />
• concentration<br />
• ...<br />
microphysical<br />
state<br />
N<br />
r
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius<br />
• concentration<br />
• dry radius<br />
• kappa<br />
• ...
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius<br />
• concentration<br />
• dry radius<br />
• kappa<br />
• ...<br />
Allows to solve Maxwell-M<strong>as</strong>on equation <strong>of</strong> condensational growth<br />
<strong>for</strong> each modeled particle.<br />
• κ-Koehler parametrisation <strong>of</strong> higroscopity<br />
(Petters & Kreidenweis, 2007)<br />
• feedback to temperature and humidity field<br />
Allows to track dry radius changes throughout the simulation time.
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius, concentration<br />
• dry radius, kappa<br />
• location in space<br />
• ...
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius, concentration<br />
• dry radius, kappa<br />
• location in space<br />
• ...<br />
Collisions - Monte-Carlo coalescence scheme (Shima et al. 2009)<br />
• <strong>for</strong> all n super-droplets in a grid box <strong>of</strong> volume ∆V in<br />
timestep ∆t<br />
• [n/2] random non-overlapping pairs examined instead <strong>of</strong> all<br />
pairs (cost: O ( n 2) O ( n ) )<br />
• extensive parameters summed ( conserved), intensive<br />
averaged<br />
Allows to apply sedimentation parametrisation to each particle<br />
(Khvorostyanov & Curry, 2002)
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius, concentration<br />
• dry radius, kappa<br />
• location in space<br />
• ...<br />
Collisions - Monte-Carlo coalescence scheme (Shima et al. 2009)<br />
• <strong>for</strong> all n super-droplets in a grid box <strong>of</strong> volume ∆V in<br />
timestep ∆t<br />
• [n/2] random non-overlapping pairs examined instead <strong>of</strong> all<br />
pairs (cost: O ( n 2) O ( n ) )<br />
• extensive parameters summed ( conserved), intensive<br />
averaged<br />
Allows to apply sedimentation parametrisation to each particle<br />
(Khvorostyanov & Curry, 2002)
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius, concentration<br />
• dry radius, kappa<br />
• location in space<br />
• chemical composition<br />
• ...
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius, concentration<br />
• dry radius, kappa<br />
• location in space<br />
• chemical composition<br />
• ...<br />
”Virtual droplet” chemical compounds:<br />
• SO 2 , O 3 , H 2 O 2 - dissolved into droplets - Henry’s law<br />
• HSO 3 − , SO 3 2− - dissociated inside droplets<br />
• HSO 4 − , SO 4 2− - products <strong>of</strong> oxidation<br />
Allows to model aqueous chemical reactions occurring inside cloud<br />
droplets. (minimal setup <strong>for</strong> Hoppel gap <strong>simulations</strong>)<br />
Work in progress - link chemical composition with kappa and dry<br />
radius.
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius, concentration<br />
• dry radius, kappa<br />
• location in space<br />
• chemical composition<br />
• ...<br />
”Virtual droplet” chemical compounds:<br />
• SO 2 , O 3 , H 2 O 2 - dissolved into droplets - Henry’s law<br />
• HSO 3 − , SO 3 2− - dissociated inside droplets<br />
• HSO 4 − , SO 4 2− - products <strong>of</strong> oxidation<br />
Allows to model aqueous chemical reactions occurring inside cloud<br />
droplets. (minimal setup <strong>for</strong> Hoppel gap <strong>simulations</strong>)<br />
Work in progress - link chemical composition with kappa and dry<br />
radius.
model description: ”virtual droplets”<br />
attributes carried by ”virtual droplets”:<br />
• wet radius, concentration<br />
• dry radius, kappa<br />
• location in space<br />
• chemical composition<br />
• ...<br />
”Virtual droplet” chemical compounds:<br />
• SO 2 , O 3 , H 2 O 2 - dissolved into droplets - Henry’s law<br />
• HSO 3 − , SO 3 2− - dissociated inside droplets<br />
• HSO 4 − , SO 4 2− - products <strong>of</strong> oxidation<br />
Allows to model aqueous chemical reactions occurring inside cloud<br />
droplets. (minimal setup <strong>for</strong> Hoppel gap <strong>simulations</strong>)<br />
Work in progress - link chemical composition with kappa and dry<br />
radius.
model description: summary<br />
Eulerian / PDE<br />
Lagrangian / ODE<br />
advection <strong>of</strong> heat<br />
particle transport by the flow<br />
advection <strong>of</strong> moisture<br />
condensational growth<br />
MPDATA advection scheme<br />
collisional growth<br />
(Smolarkiewicz 1983, . . . )<br />
sedimentation<br />
advection <strong>of</strong> trace g<strong>as</strong>es in-particle aqueous chemistry<br />
∂ t (ρ d r) + ∇(⃗vρ d r) = ρ d ṙ ṙ =<br />
∑<br />
particles ∈ ∆V<br />
∂ t (ρ d θ) + ∇(⃗vρ d θ) = ρ d ˙θ ˙θ =<br />
∑<br />
particles ∈ ∆V<br />
. . .<br />
. . .<br />
• recent examples in context <strong>of</strong> precipitating clouds:<br />
• Shima et al. 2009, QJ<br />
• Andrejczuk et al. 2010, JGR<br />
• Riechelmann et al. 2012, NJP
model description: summary<br />
Eulerian / PDE<br />
Lagrangian / ODE<br />
advection <strong>of</strong> heat<br />
particle transport by the flow<br />
advection <strong>of</strong> moisture<br />
condensational growth<br />
MPDATA advection scheme<br />
collisional growth<br />
(Smolarkiewicz 1983, . . . )<br />
sedimentation<br />
advection <strong>of</strong> trace g<strong>as</strong>es in-particle aqueous chemistry<br />
∂ t (ρ d r) + ∇(⃗vρ d r) = ρ d ṙ ṙ =<br />
∑<br />
particles ∈ ∆V<br />
∂ t (ρ d θ) + ∇(⃗vρ d θ) = ρ d ˙θ ˙θ =<br />
∑<br />
particles ∈ ∆V<br />
. . .<br />
. . .<br />
• recent examples in context <strong>of</strong> precipitating clouds:<br />
• Shima et al. 2009, QJ<br />
• Andrejczuk et al. 2010, JGR<br />
• Riechelmann et al. 2012, NJP
model description: summary<br />
Eulerian / PDE<br />
Lagrangian / ODE<br />
advection <strong>of</strong> heat<br />
particle transport by the flow<br />
advection <strong>of</strong> moisture<br />
condensational growth<br />
MPDATA advection scheme<br />
collisional growth<br />
(Smolarkiewicz 1983, . . . )<br />
sedimentation<br />
advection <strong>of</strong> trace g<strong>as</strong>es in-particle aqueous chemistry<br />
∂ t (ρ d r) + ∇(⃗vρ d r) = ρ d ṙ ṙ =<br />
∑<br />
particles ∈ ∆V<br />
∂ t (ρ d θ) + ∇(⃗vρ d θ) = ρ d ˙θ ˙θ =<br />
∑<br />
particles ∈ ∆V<br />
. . .<br />
. . .<br />
• recent examples in context <strong>of</strong> precipitating clouds:<br />
• Shima et al. 2009, QJ<br />
• Andrejczuk et al. 2010, JGR<br />
• Riechelmann et al. 2012, NJP
model description: summary<br />
Eulerian / PDE<br />
Lagrangian / ODE<br />
advection <strong>of</strong> heat<br />
particle transport by the flow<br />
advection <strong>of</strong> moisture<br />
condensational growth<br />
MPDATA advection scheme<br />
collisional growth<br />
(Smolarkiewicz 1983, . . . )<br />
sedimentation<br />
advection <strong>of</strong> trace g<strong>as</strong>es in-particle aqueous chemistry<br />
∂ t (ρ d r) + ∇(⃗vρ d r) = ρ d ṙ ṙ =<br />
∑<br />
particles ∈ ∆V<br />
∂ t (ρ d θ) + ∇(⃗vρ d θ) = ρ d ˙θ ˙θ =<br />
∑<br />
particles ∈ ∆V<br />
. . .<br />
. . .<br />
• recent examples in context <strong>of</strong> precipitating clouds:<br />
• Shima et al. 2009, QJ<br />
• Andrejczuk et al. 2010, JGR<br />
• Riechelmann et al. 2012, NJP
example: application to 2D prescribed-flow <strong>simulations</strong><br />
a kinematic model:<br />
• <strong>as</strong>sumed dry air density pr<strong>of</strong>ile<br />
• prescribed velocity field (steady state)<br />
• µ-physics decoupled from flow dynamics!<br />
• simple, robust, computationally cheap<br />
• free from numerical/dynamical subtleties<br />
• naïve yet useful:<br />
• development and testing <strong>of</strong> cloud µ-physics models a ,<br />
hypothesis testing <strong>for</strong> cloud processes b<br />
• studying <strong>of</strong> aerosol processing by clouds (ongoing work)<br />
• development aid <strong>for</strong> remote sensing retrieval algorithms<br />
a Morrison & Grabowski 2007, JAS<br />
b R<strong>as</strong>inski, Pawlowska & Grabowski 2011, Atmos. Res.
example: application to 2D prescribed-flow <strong>simulations</strong><br />
a kinematic model:<br />
• <strong>as</strong>sumed dry air density pr<strong>of</strong>ile<br />
• prescribed velocity field (steady state)<br />
• µ-physics decoupled from flow dynamics!<br />
• simple, robust, computationally cheap<br />
• free from numerical/dynamical subtleties<br />
• naïve yet useful:<br />
• development and testing <strong>of</strong> cloud µ-physics models a ,<br />
hypothesis testing <strong>for</strong> cloud processes b<br />
• studying <strong>of</strong> aerosol processing by clouds (ongoing work)<br />
• development aid <strong>for</strong> remote sensing retrieval algorithms<br />
a Morrison & Grabowski 2007, JAS<br />
b R<strong>as</strong>inski, Pawlowska & Grabowski 2011, Atmos. Res.
example: application to 2D prescribed-flow <strong>simulations</strong><br />
a kinematic model:<br />
• <strong>as</strong>sumed dry air density pr<strong>of</strong>ile<br />
• prescribed velocity field (steady state)<br />
• µ-physics decoupled from flow dynamics!<br />
• simple, robust, computationally cheap<br />
• free from numerical/dynamical subtleties<br />
• naïve yet useful:<br />
• development and testing <strong>of</strong> cloud µ-physics models a ,<br />
hypothesis testing <strong>for</strong> cloud processes b<br />
• studying <strong>of</strong> aerosol processing by clouds (ongoing work)<br />
• development aid <strong>for</strong> remote sensing retrieval algorithms<br />
a Morrison & Grabowski 2007, JAS<br />
b R<strong>as</strong>inski, Pawlowska & Grabowski 2011, Atmos. Res.
example: application to 2D prescribed-flow <strong>simulations</strong><br />
a kinematic model:<br />
• <strong>as</strong>sumed dry air density pr<strong>of</strong>ile<br />
• prescribed velocity field (steady state)<br />
• µ-physics decoupled from flow dynamics!<br />
• simple, robust, computationally cheap<br />
• free from numerical/dynamical subtleties<br />
• naïve yet useful:<br />
• development and testing <strong>of</strong> cloud µ-physics models a ,<br />
hypothesis testing <strong>for</strong> cloud processes b<br />
• studying <strong>of</strong> aerosol processing by clouds (ongoing work)<br />
• development aid <strong>for</strong> remote sensing retrieval algorithms<br />
a Morrison & Grabowski 2007, JAS<br />
b R<strong>as</strong>inski, Pawlowska & Grabowski 2011, Atmos. Res.
example: application to 2D prescribed-flow <strong>simulations</strong><br />
a kinematic model:<br />
• <strong>as</strong>sumed dry air density pr<strong>of</strong>ile<br />
• prescribed velocity field (steady state)<br />
• µ-physics decoupled from flow dynamics!<br />
• simple, robust, computationally cheap<br />
• free from numerical/dynamical subtleties<br />
• naïve yet useful:<br />
• development and testing <strong>of</strong> cloud µ-physics models a ,<br />
hypothesis testing <strong>for</strong> cloud processes b<br />
• studying <strong>of</strong> aerosol processing by clouds (ongoing work)<br />
• development aid <strong>for</strong> remote sensing retrieval algorithms<br />
a Morrison & Grabowski 2007, JAS<br />
b R<strong>as</strong>inski, Pawlowska & Grabowski 2011, Atmos. Res.
t = 60 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 120 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 180 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 240 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 300 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 360 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 420 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 480 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 540 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 600 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 660 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 720 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 780 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 840 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 900 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 960 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1020 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1080 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1140 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1200 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1260 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1320 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1380 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1440 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1500 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1560 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1620 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1680 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1740 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1800 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1860 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1920 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 1980 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2040 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2100 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2160 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2220 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2280 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2340 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2400 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2460 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2520 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2580 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2640 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2700 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2760 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2820 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2880 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 2940 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
t = 3000 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
100<br />
x/dx=15+/-1 y/dy=15+/-1 t/dt=50<br />
particle concentration (per bin) [1/cm 3 ]<br />
10<br />
1<br />
0.1<br />
0.01<br />
0.001<br />
0.001 0.01 0.1 1 10 100 1000<br />
particle wet radius [µm]
t = 3000 s<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
mean particle concentration [1/cm 3 ]<br />
0<br />
0.005 0.04 0.32 2.56 20.5 164<br />
particle (wet) radius [µm]<br />
100<br />
10<br />
1<br />
Y [km]<br />
1.5<br />
1<br />
0.5<br />
0<br />
super-droplet conc. [1/dx/dy/dz]<br />
0 0.5 1 1.5<br />
X [km]<br />
500<br />
400<br />
300<br />
200<br />
100<br />
0<br />
Y [km]<br />
effective radius [µm] (FSSP range, N>10/cm 3 )<br />
1.5<br />
1<br />
0.5<br />
0<br />
0 0.5 1 1.5<br />
X [km]<br />
30<br />
25<br />
20<br />
15<br />
10<br />
5<br />
1.5<br />
r
100<br />
x/dx=15+/-1 y/dy=30+/-1 t/dt=50<br />
particle concentration (per bin) [1/cm 3 ]<br />
10<br />
1<br />
0.1<br />
0.01<br />
0.001<br />
0.001 0.01 0.1 1 10 100 1000<br />
particle wet radius [µm]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
water vapour mixing ratio [g/kg]<br />
potential temperature [K]<br />
effective radius [µm]<br />
1.4<br />
8<br />
1.4<br />
293<br />
1.4<br />
30<br />
1.2<br />
7.5<br />
1.2<br />
292<br />
1.2<br />
25<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
7<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
291<br />
290<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
20<br />
15<br />
0.4<br />
0.2<br />
6.5<br />
0.4<br />
0.2<br />
289<br />
0.4<br />
0.2<br />
10<br />
5<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
6<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
288<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
X [km]<br />
X [km]<br />
X [km]<br />
mean SO 2 m<strong>as</strong>s in the droplet<br />
mean HSO 3 m<strong>as</strong>s in the droplet<br />
mean S(VI) m<strong>as</strong>s in the droplet<br />
1.4<br />
1e-22<br />
1.4<br />
1e-18<br />
1.4<br />
5e-19<br />
1.2<br />
8e-23<br />
1.2<br />
8e-19<br />
1.2<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-23<br />
4e-23<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
6e-19<br />
4e-19<br />
Y [km]<br />
1<br />
0.8<br />
0.6<br />
3e-19<br />
2e-19<br />
0.4<br />
0.2<br />
2e-23<br />
0.4<br />
0.2<br />
2e-19<br />
0.4<br />
0.2<br />
1e-19<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
0<br />
0 0.2 0.4 0.6 0.8 1 1.2 1.4<br />
0<br />
X [km]<br />
X [km]<br />
X [km]
icicle<br />
• open-source project, code repository: http://icicle.igf.fuw.edu.pl/<br />
• implementation: Object-Oriented C++<br />
• Blitz++ library <strong>for</strong> high-per<strong>for</strong>mance array handling<br />
• nVidia’s Thrust (GPU-ready!) implementation <strong>of</strong> super-droplets<br />
• documentation will be available along with the code<br />
• model development funded by the Polish National Science Center<br />
(project no. 2011/01/N/ST10/01483)
icicle<br />
• open-source project, code repository: http://icicle.igf.fuw.edu.pl/<br />
• implementation: Object-Oriented C++<br />
• Blitz++ library <strong>for</strong> high-per<strong>for</strong>mance array handling<br />
• nVidia’s Thrust (GPU-ready!) implementation <strong>of</strong> super-droplets<br />
• documentation will be available along with the code<br />
• model development funded by the Polish National Science Center<br />
(project no. 2011/01/N/ST10/01483)
icicle<br />
• open-source project, code repository: http://icicle.igf.fuw.edu.pl/<br />
• implementation: Object-Oriented C++<br />
• Blitz++ library <strong>for</strong> high-per<strong>for</strong>mance array handling<br />
• nVidia’s Thrust (GPU-ready!) implementation <strong>of</strong> super-droplets<br />
• documentation will be available along with the code<br />
• model development funded by the Polish National Science Center<br />
(project no. 2011/01/N/ST10/01483)
icicle<br />
• open-source project, code repository: http://icicle.igf.fuw.edu.pl/<br />
• implementation: Object-Oriented C++<br />
• Blitz++ library <strong>for</strong> high-per<strong>for</strong>mance array handling<br />
• nVidia’s Thrust (GPU-ready!) implementation <strong>of</strong> super-droplets<br />
• documentation will be available along with the code<br />
• model development funded by the Polish National Science Center<br />
(project no. 2011/01/N/ST10/01483)
icicle<br />
• open-source project, code repository: http://icicle.igf.fuw.edu.pl/<br />
• implementation: Object-Oriented C++<br />
• Blitz++ library <strong>for</strong> high-per<strong>for</strong>mance array handling<br />
• nVidia’s Thrust (GPU-ready!) implementation <strong>of</strong> super-droplets<br />
• documentation will be available along with the code<br />
• model development funded by the Polish National Science Center<br />
(project no. 2011/01/N/ST10/01483)
icicle<br />
• open-source project, code repository: http://icicle.igf.fuw.edu.pl/<br />
• implementation: Object-Oriented C++<br />
• Blitz++ library <strong>for</strong> high-per<strong>for</strong>mance array handling<br />
• nVidia’s Thrust (GPU-ready!) implementation <strong>of</strong> super-droplets<br />
• documentation will be available along with the code<br />
• model development funded by the Polish National Science Center<br />
(project no. 2011/01/N/ST10/01483)
icicle<br />
• open-source project, code repository: http://icicle.igf.fuw.edu.pl/<br />
• implementation: Object-Oriented C++<br />
• Blitz++ library <strong>for</strong> high-per<strong>for</strong>mance array handling<br />
• nVidia’s Thrust (GPU-ready!) implementation <strong>of</strong> super-droplets<br />
• documentation will be available along with the code<br />
• model development funded by the Polish National Science Center<br />
(project no. 2011/01/N/ST10/01483)
Thanks <strong>for</strong> your attention!