A hybrid collocated/staggered version of the Fast Vector Penalty-Projection method for dilatable fluids

Michel Belliard

doi:10.1016/j.crma.2014.05.004

Mathematical problems in mechanics

A hybrid collocated/staggered version of the Fast Vector Penalty-Projection method for dilatable fluids

Presented by: Olivier Pironneau

Michel Belliard ¹

¹ Commissariat à l'énergie atomique et aux énergies alternatives (CEA), DEN/DANS/DM2S/STMF/LMEC, CEA Cadarache, bât. 238, 13108 Saint-Paul-lez-Durance, France

Comptes Rendus. Mathématique, Volume 352 (2014) no. 9, pp. 761-766

Abstract (Original language)
Résumé

We propose a hybrid version of the Fast VPP method for dilatable fluids: collocated variables/staggered projection. The necessary conditions for its effective application are outlined. Numerical results illustrate the significant computation-cost reduction to reach stationary regimes.

On propose une version hybride de la méthode Fast-VPP en écoulement dilatable : variables colocalisées et projection décalée. On précise les conditions nécessaires à son application efficace. Des résultats numériques illustrent le gain en effort de calcul pour l'obtention de régimes stationnaires.

Received: 2014-01-29
Accepted: 2014-05-15
Published online: 2014-08-12

DOI: 10.1016/j.crma.2014.05.004

Author's affiliations:

Michel Belliard ¹

¹ Commissariat à l'énergie atomique et aux énergies alternatives (CEA), DEN/DANS/DM2S/STMF/LMEC, CEA Cadarache, bât. 238, 13108 Saint-Paul-lez-Durance, France

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     title = {A hybrid collocated/staggered version of the {Fast} {Vector} {Penalty-Projection} method for dilatable fluids},
     journal = {Comptes Rendus. Math\'ematique},
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Michel Belliard. A hybrid collocated/staggered version of the Fast Vector Penalty-Projection method for dilatable fluids. Comptes Rendus. Mathématique, Volume 352 (2014) no. 9, pp. 761-766. doi: 10.1016/j.crma.2014.05.004

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