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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.
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https://hal.inria.fr/inria-00074228
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Submitted on : Wednesday, May 24, 2006 - 2:49:19 PM
Last modification on : Saturday, January 27, 2018 - 1:31:30 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 4:11:51 PM

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  • HAL Id : inria-00074228, version 1

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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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