BAIL 2006 Book of Abstracts - Institut für Numerische und ...

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P. HOUSTON: Discontinuous Galerkin Finite Element Methods for CFD: A Posteriori Error Estimation and Adaptivity ✬ ✫ Discontinuous Galerkin Finite Element Methods for CFD: A Posteriori Error Estimation and Adaptivity Paul Houston School of Mathematical Sciences, University of Nottingham, UK. In recent years there has been considerable interest in the mathematical design and practical application of nonconforming finite element methods that are based on discontinuous piecewise polynomial approximation spaces; such approaches are referred to as discontinuous Galerkin (DG) methods. The main advantages of these methods lie in their conservation properties, their ability to treat a wide range of problems within the same unified framework, and their great flexibility in the mesh-design. Indeed, DG methods can easily handle non-matching grids and non-uniform, even anisotropic, polynomial approximation degrees, which makes them ideally suited for application within adaptive finite element software. In this talk we present an overview of some recent developments concerning the a posteriori error analysis and adaptive mesh design of h– and hp–version DG finite element methods for the numerical approximation of second–order elliptic boundary value problems. In particular, we consider the derivation of computable upper and lower bounds on the error measured in terms of an appropriate (mesh–dependent) energy norm. The proofs of the upper bounds are based on rewriting the method in a non-consistent manner using polynomial lifting operators and employing an appropriate decomposition result for the underlying discontinuous spaces. Applications to the numerical approximation of second–order linear elliptic problems, including Poisson’s equation, Stokes equations, nearly–incompressible elasticity, and the time harmonic eddy current problem, as well as second–order quasilinear boundary value problems, which typically arise in the modelling of non-Newtonian flows, will be considered. Numerical experiments confirming the reliability and efficiency of the proposed a posteriori error bounds within an automatic mesh refinement algorithm employing both local mesh subdivision and local polynomial enrichment will be presented. This research has been carried out in collaboration with Dominik Schötzau (University of British Columbia), Thomas Wihler (University of Minnesota), and Ilaria Perugia (University of Pavia). References [1] P. Houston, I. Perugia, and D. Schötzau. An posteriori error indicator for discontinuous Galerkin discretizations of H(curl)–elliptic partial differential equations. Submitted to IMA J. Numer. Anal. [2] P. Houston, D. Schötzau, and T. Wihler. Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem. J. Sci. Comp., 22(1):357–380, 2005. [3] P. Houston, D. Schötzau, and T. Wihler. An hp-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity. Comput. Methods Appl. Mech. Engrg., (to appear). [4] P. Houston, D. Schötzau, and T. P. Wihler. Energy norm a posteriori error estimation of hp-adaptive discontinuous Galerkin methods for elliptic problems. Math. Models Methods Appl. Sci., (to appear). 1 Speaker: HOUSTON, P. 4 BAIL 2006 ✩ ✪
L. LESSHAFFT, P. HUERRE, P. SAGAUT, M. TERRACOL: Dynamics of Hot Jets: A Numerical and Theoretical Study ✬ ✫ BAIL 2006 DYNAMICS OF HOT JETS: A NUMERICAL AND THEORETICAL STUDY Lutz Lesshafft 1.2 , Patrick Huerre 1 , Pierre Sagaut 3 and Marie Terracol 2 1Laboratoire d'Hydrodynamique (LadHyX), CNRS – École Polytechnique, F-91128 Palaiseau, France 2ONERA, Department of CFD and Aeroacoustics, 29 avenue de la Division Leclerc, F-92322 Châtillon, France 3Laboratoire de Modélisation en Mécanique, Université Pierre et Marie Curie, Boîte 162, 4 place Jussieu, F-75252 Paris cedex 05, France Since the experiments of Monkewitz, Bechert, Barsikow & Lehmann (1990), sufficiently hot circular jets have been known to give rise to self-sustained synchronized oscillations induced by a locally absolutely unstable region. Numerical simulations (Lesshafft, Huerre, Sagaut & Terracol 2005, 2006) have been carried out in order to determine if such synchronized states correspond to a nonlinear global mode of the underlying basic flow, as predicted in the context of Ginzburg-Landau amplitude evolution equations by Couairon & Chomaz (1997, 1999), Pier, Huerre, Chomaz & Couairon (1998) and Pier, Huerre & Chomaz (2001). In the presence of a pocket of absolute instability embedded within a convectively unstable jet, global oscillations are generated by a steep nonlinear front located at the upstream station of marginal absolute instability. The global frequency is given, within 10% accuracy, by the absolute frequency at the front location. For jet flows displaying absolutely unstable inlet conditions, global instability is observed to arise if the streamwise extent of the absolutely unstable region is sufficiently large: While local absolute instability sets in for ambient-to-jet temperature ratios S < 0.453, global modes only appear for S < 0.325. In agreement with theoretical predictions, the selected frequency near the onset of global instability coincides with the absolute frequency at the inlet, provided that the ratio of jet radius R to shear layer momentum thickness θ is sufficiently small (R/ θ ∼ 10, thick shear layers). For thinner shear layers (R/ θ ∼ 25), the numerically determined global frequency gradually departs from the inlet absolute frequency. References Couairon, A. & Chomaz, J.-M. 1997 Absolute and convective instabilities, front velocities and global modes in nonlinear systems. Physica D 108, 236-276 Couairon, A. & Chomaz, J.-M. 1999 Fully nonlinear global modes in slowly varying flows. Phys. Fluids 11, 3688-3703. Lesshafft, L., Huerre, P., Sagaut, P. & Terracol, M. 2005 Global modes in hot jets, absolute / convective instabilities and acoustic feedback. 10 pages 11th AIAA / CEAS Aeroacoustics Conference, Monterey, USA, May 23-25, 2005. Lesshaft, L., Huerre, P., Sagaut, P. & Terracol, M. 2006 Nonlinear global modes in hot jets. J. Fluid Mech., in press. Monkewitz, P. A., Bechert, D. W., Barsikow, B & Lehmann, B. 1990 Self-excited oscillations and mixing in a heated round jet. J. Fluid Mech. 213, 611-639. Speaker: HUERRE, P. 5 BAIL 2006 ✩ ✪
Page 1: BAIL 2006 International Conference
Page 5 and 6: Plenary Session 1 Session 2 Session
Page 7 and 8: Room School-Lab (SL) Room MPI Sessi
Page 9 and 10: Room School-Lab (SL) Room MPI Tuesd
Page 15 and 16: Room School-Lab (SL) Room MPI Minis
Page 17 and 18: Contents Greetings . . . . . . . .
Page 19 and 20: CONTENTS S. HEMAVATHI, S. VALARMATH
Page 21 and 22: CONTENTS G. LUBE: A stabilized fini
Page 23: Plenary Presentations
Page 28 and 29: M. STYNES: Convection-diffusion pro
Page 30 and 31: V. GRAVEMEIER, S. LENZ, W.A. WALL:
Page 33: Minisymposia
Page 36 and 37: R.K. DUNNE, E. O’RIORDAN, M.M. TU
Page 38 and 39: G.I. SHISHKIN: A posteriori adapted
Page 40 and 41: W. LAYTON, I. STANCULESCU: Numerica
Page 42 and 43: H. WANG: A Component-Based Eulerian
Page 44 and 45: R. HARTMANN: Discontinuous Galerkin
Page 46 and 47: V. HEUVELINE: On a new refinement s
Page 48 and 49: J.A. MACKENZIE, A. NICOLA: A Discon
Page 50 and 51: R. SCHNEIDER, P. JIMACK: Anisotropi
Page 53 and 54: Speaker: Debopam Das, Tapan Sengupt
Page 55 and 56: M.H. BUSCHMANN, M. GAD-EL-HAK: Turb
Page 57 and 58: A. NAYAK, D. DAS: Three-dimesnional
Page 59 and 60: J. HUSSONG, N. BLEIER, V.V. RAM: Th
Page 61 and 62: T.K. SENGUPTA, A. KAMESWARA RAO: Sp
Page 63 and 64: L. SAVIĆ, H. STEINRÜCK: Asymptoti
Page 65 and 66: G.I. Shiskin, P. Hemker Robust Meth
Page 67 and 68: D. BRANLEY, A.F. HEGARTY, H. PURTIL
Page 69 and 70: T. LINSS, N. MADDEN: Layer-adapted
Page 71 and 72: L.P. SHISHKINA, G.I. SHISHKIN: A Di
Page 73 and 74: I.V. TSELISHCHEVA, G.I. SHISHKIN: D
Page 75 and 76: S. HEMAVATHI, S. VALARMATHI: A para
Page 77 and 78:
J. Maubach, I, Tselishcheva Robust
Page 79 and 80:
M. ANTHONISSEN, I. SEDYKH, J. MAUBA
Page 81 and 82:
S. LI, L.P. SHISHKINA, G.I. SHISHKI
Page 83 and 84:
A.I. ZADORIN: Numerical Method for
Page 85 and 86:
P. ZEGELING: An Adaptive Grid Metho
Page 87:
Contributed Presentations
Page 90 and 91:
F. ALIZARD, J.-CH. ROBINET: Two-dim
Page 92 and 93:
TH. ALRUTZ, T. KNOPP: Near-wall gri
Page 94 and 95:
M. BAUSE: Aspects of SUPG/PSPG and
Page 96 and 97:
L. BOGUSLAWSKI: Sheare Stress Distr
Page 98 and 99:
A.CANGIANI, E.H.GEORGOULIS, M. JENS
Page 100 and 101:
C. CLAVERO, J.L. GRACIA, F. LISBONA
Page 102 and 103:
B. EISFELD: Computation of complex
Page 104 and 105:
A. FIROOZ, M. GADAMI: Turbulence Fl
Page 106 and 107:
A. FIROOZ, M. GADAMI: Turbulence Fl
Page 108 and 109:
S.A. GAPONOV, G.V. PETROV, B.V. SMO
Page 110 and 111:
M. HAMOUDA, R. TEMAM: Boundary laye
Page 112 and 113:
M. HAMOUDA, R. TEMAM: Boundary laye
Page 114 and 115:
M. HÖLLING, H. HERWIG: Computation
Page 116 and 117:
A.-M. IL’IN, B.I. SULEIMANOV: The
Page 118 and 119:
W.S. ISLAM, V.R. RAGHAVAN: Numerica
Page 120 and 121:
D. KACHUMA, I. SOBEY: Fast waves du
Page 122 and 123:
A. KAUSHIK, K.K. SHARMA: A Robust N
Page 124 and 125:
P. KNOBLOCH: On methods diminishing
Page 126 and 127:
T. KNOPP: Model-consistent universa
Page 128 and 129:
J.-S. LEU, J.-Y. JANG, Y.-C. CHOU:
Page 130 and 131:
V.D. LISEYKIN, Y.V. LIKHANOVA, D.V.
Page 132 and 133:
G. LUBE: A stabilized finite elemen
Page 134 and 135:
H. LÜDEKE: Detached Eddy Simulatio
Page 136 and 137:
K. MANSOUR: Boundary Layer Solution
Page 138 and 139:
J. MAUSS, J. COUSTEIX: Global Inter
Page 140 and 141:
O. MIERKA, D. KUZMIN: On the implem
Page 142 and 143:
K. MORINISHI: Rarefied Gas Boundary
Page 144 and 145:
A. NASTASE: Qualitative Analysis of
Page 146 and 147:
F. NATAF, G. RAPIN: Application of
Page 148 and 149:
N. NEUSS: Numerical approximation o
Page 150 and 151:
M.A. OLSHANSKII: An Augmented Lagra
Page 152 and 153:
N. PARUMASUR, J. BANASIAK, J.M. KOZ
Page 154 and 155:
B. RASUO: On Boundary Layer Control
Page 156 and 157:
H.-G. ROOS: A Comparison of Stabili
Page 158 and 159:
B. SCHEICHL, A. KLUWICK: On Turbule
Page 160 and 161:
O. SHISHKINA, C. WAGNER: Boundary a
Page 162 and 163:
M. STYNES, L. TOBISKA: Using rectan
Page 164 and 165:
P. SVÁ ˘CEK: Numerical Approximat
Page 166 and 167:
N.V. TARASOVA: Full asymptotic anal
Page 168 and 169:
C.H. TAI, C.-Y. CHAO, J.-C. LEONG,
Page 170 and 171:
H. TIAN: Uniformly Convergent Numer
Page 172 and 173:
ABOUTUNSTEADYBOUNDARYLAYERONADIHEDR
Page 174 and 175:
A.E.P. VELDMANN: High-order symmetr
Page 176 and 177:
Z.-H. YANG, Y.-Z. LI, Y. ZHU: Appli
Page 178 and 179:
Q. YE: Numerical simulation of turb
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Participants
Page 184 and 185:
Mrs.Maragatha Meenakshi Ponnusamy P
Page 186 and 187:
Authors Alizard, F., 67 Alrutz, Th,
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