Contributions to numerical developments in shock waves attenuation in porous filters |
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Authors: | D. Rochette |
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Affiliation: | 1. Laboratoire Arc Electrique et Plasmas thermiques, CNRS UMR 6069, Université Blaise Pascal, IUT de Montlu?on, Avenue Aristide Briand, BP 2235, 03101, Montlu?on Cedex, France
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Abstract: | The paper deals with the numerical method of the compressible gas flow through a porous filter emphasizing the treatment of the interface between a pure gaseous phase and a solid phase. An incident shock wave is initiated in the gaseous phase interacting with a porous filter inducing a transmitted and a reflected wave. To take into account the discontinuity jump in the porosity between the gaseous phase and the porous filter, an approximate Riemann solver is used to compute homogeneous non-conservative Euler equations in porous media using ideal gas state law. The discretization of this problem is based on a finite volume method where the fluxes are evaluated by a “volumes finis Roe” (VFRoe) scheme. A stationary solution is determined with a continuous variable porosity in order to test the numerical scheme. Numerical results are compared with the two-phase shock tube experiments and simulations of a shock wave attenuation and gas filtration in porous filters are presented. |
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Keywords: | Shock wave Porous filter Discontinuity jump in the porosity Finite volume method VFRoe solver |
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