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Communication Dans Un Congrès Année : 2023

Improved Crouzeix-Raviart Scheme for the Stokes Problem

Schéma de Crouzeix-Raviart amélioré pour le problème de Stokes

Résumé

The resolution of the incompressible Navier-Stokes equations is tricky, and it is well known that one of the major issue is to compute a divergence free velocity. The non-conforming Crouzeix-Raviart finite element are convenient since they induce piecewise mass conservation and satisfy the inf-sup condition. However, spurious velocities may appear and damage the approximation. In this contribution, we propose a scheme that allows one to reduce the spurious velocities by discretizing the gradient of pressure with a symmetric MPFA scheme (finite volume MultiPoint Flux Approximation) [1, 2].

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Dates et versions

cea-04320978 , version 1 (04-12-2023)

Identifiants

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Eric Chénier, Erell Jamelot, Christophe Le Potier, Andrew Peitavy. Improved Crouzeix-Raviart Scheme for the Stokes Problem. Finite Volumes for Complex Applications 10, Oct 2023, Strasbourg, France. pp.245-253, ⟨10.1007/978-3-031-40864-9_19⟩. ⟨cea-04320978⟩
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