Modeling 3-D Solar Wind Structure.pdf
Modeling 3-D Solar Wind Structure.pdf Modeling 3-D Solar Wind Structure.pdf
Formulation of ENLIL: MHD Equations ∂ ∂t ∂ ∂t + ∇ ⋅ ( ρV) = 0 ⎛ BB ⎞ ⎜ μ ⎟ ⎝ o ⎠ GM r ( ρ V) + ∇ ⋅ ( ρVV ) = −∇ ⋅⎜ ⎟ + ρ 2 ∂ ∂t ( E ) + ∇ ⋅ ( EV ) = − p∇ ⋅ ( V ) ∂ ( B ) = ∇ × ( V × B) ∂t • Ρ is the mass density, V is the mean flow velocity, B is the magnetic field, P is the pressure (thermal, p, and magnetic B 2 / 2μ o ), μ o is the permeability, G is gravity, M S is the solar mass, and E is the thermal energy density (p/(γ-1) with γ the ratio of specific heats. • A thermal energy equation is used because it gives smooth profiles of thermal pressure and temperature but may interfere with shock capture. s
Formulation of ENLIL: Additional Continuity Equations • In some applications two additional contributions are included in the continuity equations ∂ ∂t ∂ ∂t ( ρ ) + ∇ ⋅( ρ ) = 0 c c V ( ρ ) + ∇ ⋅( ρ ) = 0 p p V these allow us to trace injected CME material (ρ c ) and magnetic field polarity (ρ p ).
- Page 1 and 2: Lecture 13 Modeling 3-D 3 D Solar W
- Page 3: Enlil was the Sumarian Lord of the
- Page 7 and 8: Launch a CME into the Streamer Belt
- Page 9 and 10: The Interaction • As the CME pass
- Page 11 and 12: A Slice Below the Equatorial Plane
- Page 13 and 14: Source Surface Model and Velocity a
- Page 15 and 16: Distribution of Solar Wind Paramete
- Page 17 and 18: Visualization of Propagating CME
- Page 19 and 20: Effect of Time Dependent Solar Mode
- Page 21 and 22: Results at Other Locations at 1AU -
Formulation of ENLIL: Additional Continuity<br />
Equations<br />
• In some applications two additional contributions are<br />
included in the continuity equations<br />
∂<br />
∂t<br />
∂<br />
∂t<br />
( ρ ) + ∇ ⋅( ρ ) = 0<br />
c<br />
c V<br />
( ρ ) + ∇ ⋅( ρ ) = 0<br />
p<br />
p V<br />
these allow us to trace injected CME material (ρ c ) and<br />
magnetic field polarity (ρ p ).
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