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Crank-Nicolson Scheme for Solving Low Mach Number Unsteady Viscous Flows Using an Implicit Preconditioned Dual Time Stepping Technique
Vigneron, Didier  ; Deliège, Geoffrey  ; Essers, Jean-André 
2009 • In Deconinck, Herman; Dick, Eric (Eds.) Computational Fluid Dynamics 2006 - Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD.
Peer reviewed
 

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Keywords :
Computational fluid dynamics; Low Mach number; Unsteady flow preconditioning
Abstract :
[en] The aim of this paper is to simulate low Mach number unsteady viscous flows using a density-based finite volumes solver. This kind of solver is known to encounter some difficulties to simulate low Mach number flows in which the density is almost constant. Convergence fails or accuracy decreases when the speed of sound is much greater than the fluid velocity. Local preconditioning methods intend to solve this problem by altering the time derivative terms of the Navier-Stokes equations in order to artificially modify the speed of sound, improving the convergence and accuracy in the case of low Mach number steady flows.
Disciplines :
Mechanical engineering
Mathematics
Author, co-author :
Vigneron, Didier ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Aérodynamique
Deliège, Geoffrey ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Aérodynamique
Essers, Jean-André ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Aérodynamique
Language :
English
Title :
Crank-Nicolson Scheme for Solving Low Mach Number Unsteady Viscous Flows Using an Implicit Preconditioned Dual Time Stepping Technique
Publication date :
2009
Event name :
ICCFD4 - Fourth International Conference on Computational Fluid Dynamics
Event place :
Ghent, Belgium
Event date :
du 10 juillet 2006 au 14 juillet 2006
Audience :
International
Main work title :
Computational Fluid Dynamics 2006 - Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD.
Editor :
Deconinck, Herman
Dick, Eric
Publisher :
Springer Berlin Heidelberg
ISBN/EAN :
3-540-92778-6
Pages :
285-290
Peer reviewed :
Peer reviewed

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