A Second Order Defect Correction Scheme for Unsteady Problems

Regis Martin 1 Hervé Guillard
1 SINUS - Numerical Simulation for the Engineering Sciences
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : Using the defect correction method (DeC), we propose an implicit scheme that is second order accurate both in time and space,but that uses only first order jacobian. In a first time, we theoretically analyse the truncation error of the scheme and perform a linear stability analysis of it. Then some numerical experiments over simple test-cases are presented. Finally, the capability and accuracy of this new scheme is outlined by the analisys of a complex unsteady flow in a 2-D model of a piston engine.
Type de document :
Rapport
RR-2447, INRIA. 1994
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https://hal.inria.fr/inria-00074228
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Soumis le : mercredi 24 mai 2006 - 14:49:19
Dernière modification le : samedi 27 janvier 2018 - 01:31:30
Document(s) archivé(s) le : mardi 12 avril 2011 - 16:11:51

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Regis Martin, Hervé Guillard. A Second Order Defect Correction Scheme for Unsteady Problems. RR-2447, INRIA. 1994. 〈inria-00074228〉

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