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Godunov type method on non-structured meshes for three-dimensional moving boundary problems

Boniface Nkonga 1 Hervé Guillard 1
1 SINUS - Numerical Simulation for the Engineering Sciences
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : This paper presents a numerical method for the computation of compressible flows in domains whose boundaries move in a well defined predictable manner. The method uses the space-time formulations by Godunov while the discretization is conducted on non-structured tetrahedral meshes, using Roe's approximate Riemann solver, an implicit time stepping and a MUSCL-type interpolation. The computation of the geometrical parameters required to take into account the movement of the boundaries is described. Examples including the calculation of the flow in the cylinder of an internal combustion engine illustrates the possibilities of the method.
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https://hal.inria.fr/inria-00074789
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 4:21:54 PM
Last modification on : Saturday, January 27, 2018 - 1:31:03 AM
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  • HAL Id : inria-00074789, version 1

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Boniface Nkonga, Hervé Guillard. Godunov type method on non-structured meshes for three-dimensional moving boundary problems. [Research Report] RR-1883, INRIA. 1993. ⟨inria-00074789⟩

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