Geodesic
Staggered schemes for all speed flows
Raphaèle Herbin1 ; Walid Kheriji2 ; Jean-Claude Latche2
1 Université d’Aix-Marseille, France
2 Institut de Radioprotection et de Sûreté Nucléaire, France
ESAIM. Proceedings, Tome 35 (2012), pp. 122-150.

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We review in this paper a class of schemes for the numerical simulation of compressible flows. In order to ensure the stability of the discretizations in a wide range of Mach numbers and introduce sufficient decoupling for the numerical resolution, we choose to implement and study pressure correction schemes on staggered meshes. The implicit version of the schemes is also considered for the theoretical study. We give both algorithms for the barotropic Navier-Stokes equations, for the full Navier-Stokes equations and for the Euler equations. In each case, we summarize the theoretical results that were recently obtained concerning the stability and consistency of the schemes and present some numerical results which confirm their good performance.
DOI : 10.1051/proc/201235008

Raphaèle Herbin 1 ; Walid Kheriji 2 ; Jean-Claude Latche 2

1 Université d’Aix-Marseille, France
2 Institut de Radioprotection et de Sûreté Nucléaire, France 
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Raphaèle Herbin; Walid Kheriji; Jean-Claude Latche. Staggered schemes for all speed flows. ESAIM. Proceedings, Tome 35 (2012), pp. 122-150. doi : 10.1051/proc/201235008. http://geodesic.mathdoc.fr/articles/10.1051/proc/201235008/

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