Two-dimensional computation of gas flow in a porous bed characterized by a porosity jump

Authors:
D. Rochette;S. Clain
Affiliations:
Laboratoire Arc Electrique et Plasmas Thermiques, Université Blaise Pascal, IUT de Montluçon, BP, Montluçon Cedex, France;Laboratoire de Mathématiques pour l'Industrie et la Physique, Université Paul Sabatier Toulouse, Toulouse Cedex, France
Venue:
Journal of Computational Physics
Year:
2006

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Abstract

A finite volume method based on a VFRoe solver to simulate the flow of compressible gas in a variable porous medium for two-dimensional geometries is proposed. The modeling is based on the Euler system where a non-conservative term is added to take the porosity variation into account. A detailed presentation of the scheme is given, the main point is the construction of non-conservative fluxes to reproduce the non-conservation aspect of the problem. We compare the numerical method with an exact solution of the Riemann problem and we check that the method preserves steady-state situations even if we use a discontinuous jump for the porosity. Finally, we present two simulations involving a two-dimensional gas flow.