Volume 35, March 2012Congrès National de Mathématiques Appliquées et Industrielles
|Page(s)||122 - 150|
|Published online||06 April 2012|
Staggered schemes for all speed flows
2 Institut de Radioprotection et de Sûreté Nucléaire, France
3 Institut de Radioprotection et de Sûreté Nucléaire, France
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.
© EDP Sciences, SMAI 2012
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