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Contributions to numerical developments in shock waves attenuation in porous filters

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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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Authors and Affiliations

  1. Laboratoire Arc Electrique et Plasmas thermiques, CNRS UMR 6069, Université Blaise Pascal, IUT de Montluçon, Avenue Aristide Briand, BP 2235, 03101, Montluçon Cedex, France

    D. Rochette

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  1. D. Rochette
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Correspondence to D. Rochette.

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Communicated by A.K. Hayashi.

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Rochette, D. Contributions to numerical developments in shock waves attenuation in porous filters. Shock Waves 17, 103–112 (2007). https://doi.org/10.1007/s00193-007-0095-9

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  • DOI: https://doi.org/10.1007/s00193-007-0095-9

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