A second order defect correction scheme for unsteady problems

Régis Martin 1 Hervé Guillard 1
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. We start a theoretical analysis of the truncation error of the scheme and then perform a linear stability analysis of it. We present some numerical experiments over simple test-cases. Finally, the capability and accuracy of this new scheme is outlined by the analysis of a complex unsteady flow in a 2-D model of a piston engine.
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https://hal.inria.fr/hal-00871723
Contributeur : Herve Guillard <>
Soumis le : jeudi 10 octobre 2013 - 11:36:20
Dernière modification le : jeudi 11 janvier 2018 - 16:57:40

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Régis Martin, Hervé Guillard. A second order defect correction scheme for unsteady problems. Computers and Fluids, Elsevier, 1996, 25 (1), pp.9-27. 〈10.1016/0045-7930(95)00027-5〉. 〈hal-00871723〉

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