A Matrix-Free Preconditioner Applied to CFD

Rémi Choquet 1
1 ALADIN - Algorithms Adapted to Intensive Numerical Computing
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes
Abstract : We consider the implicit time integration of the compressible Navier-Stokes equations. Each implicit step involves the solution of a costly non linear system. In this paper, we define a preconditioner to solve each linear system more cheaply within the framework of matrix-free algorithm. The main idea is to reuse the Krylov subspace across the time steps. We demonstrate some properties of the preconditioner and show the practical value of this approach for stiff problems which needs excessive small time steps with an explicit method.
Type de document :
Rapport
[Research Report] RR-2605, INRIA. 1995
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https://hal.inria.fr/inria-00074080
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Soumis le : mercredi 24 mai 2006 - 14:27:15
Dernière modification le : mercredi 11 avril 2018 - 02:01:11
Document(s) archivé(s) le : lundi 5 avril 2010 - 00:04:38

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  • HAL Id : inria-00074080, version 1

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Rémi Choquet. A Matrix-Free Preconditioner Applied to CFD. [Research Report] RR-2605, INRIA. 1995. 〈inria-00074080〉

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