Projective integration for nonlinear BGK ...
Document type :
Communication dans un congrès avec actes
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Title :
Projective integration for nonlinear BGK kinetic equations
Author(s) :
Melis, Ward [Auteur]
Department of Computer Science [KU Leuven] [KU-CS]
Rey, Thomas [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Reliable numerical approximations of dissipative systems [RAPSODI]
Samaey, Giovanni [Auteur]
Department of Computer Science [KU Leuven] [KU-CS]
Department of Computer Science [KU Leuven] [KU-CS]
Rey, Thomas [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Reliable numerical approximations of dissipative systems [RAPSODI]
Samaey, Giovanni [Auteur]
Department of Computer Science [KU Leuven] [KU-CS]
Scientific editor(s) :
Cancès, Clément
Omnès, Pascal
Omnès, Pascal
Conference title :
Finite Volumes for Complex Applications VIII
City :
Lille
Country :
France
Start date of the conference :
2017-06-12
Book title :
Finite Volumes for Complex Applications VIII
Journal title :
Hyperbolic, Elliptic and Parabolic Problems
Publisher :
Springer International Publishing
Publication date :
2017-06
English keyword(s) :
WENO
asymptotic-preserving
Projective integration
BGK
asymptotic-preserving
Projective integration
BGK
HAL domain(s) :
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
English abstract : [en]
We present a high-order, fully explicit, asymptotic-preserving projective integration scheme for the nonlinear BGK equation. The method first takes a few small (inner) steps with a simple, explicit method (such as direct ...
Show more >We present a high-order, fully explicit, asymptotic-preserving projective integration scheme for the nonlinear BGK equation. The method first takes a few small (inner) steps with a simple, explicit method (such as direct forward Euler) to damp out the stiff components of the solution. Then, the time derivative is estimated and used in an (outer) Runge-Kutta method of arbitrary order. Based on the spectrum of the linearized BGK operator, we deduce that, with an appropriate choice of inner step size, the time step restriction on the outer time step as well as the number of inner time steps is independent of the stiffness of the BGK source term. We illustrate the method with numerical results in one and two spatial dimensions.Show less >
Show more >We present a high-order, fully explicit, asymptotic-preserving projective integration scheme for the nonlinear BGK equation. The method first takes a few small (inner) steps with a simple, explicit method (such as direct forward Euler) to damp out the stiff components of the solution. Then, the time derivative is estimated and used in an (outer) Runge-Kutta method of arbitrary order. Based on the spectrum of the linearized BGK operator, we deduce that, with an appropriate choice of inner step size, the time step restriction on the outer time step as well as the number of inner time steps is independent of the stiffness of the BGK source term. We illustrate the method with numerical results in one and two spatial dimensions.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Comment :
Proceedings FVCA 8
Collections :
Source :
Submission date :
2025-01-24T17:52:04Z
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