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Un algorithme pour la simulation du transport convectif et de la propagation acoustique à tout nombre de Mach

Abstract : A pressure-correction algorithm is presented for compressible fluid flow regimes. It is well-suited to si-mulate flows at all levels of Mach number with smooth and discontinuous flow field changes, by providinga precise representation of convective transport and acoustic propagation. The co-located finite volumespace discretization is used with the AUSM flux splitting. It is demonstrated that two ingredients areessential for obtaining good quality solutions : the presence of an inertia term in the transporting velo-city expression; a velocity difference diffusive term in the face pressure expression, with a correct Machnumber scaling to recover the hydrodynamic and acoustic low Mach number limits. To meet these tworequirements, a new flux scheme, named MIAU, forMomentum Interpolation with Advection Upstreamsplittingis proposed.
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https://hal-univ-pau.archives-ouvertes.fr/hal-02361166
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Submitted on : Wednesday, November 13, 2019 - 11:33:23 AM
Last modification on : Thursday, March 5, 2020 - 7:19:34 PM
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  • HAL Id : hal-02361166, version 1

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Yann Moguen, Pascal Bruel, Paulo Correia, Erik Dick. Un algorithme pour la simulation du transport convectif et de la propagation acoustique à tout nombre de Mach. 24ème Congrès Français de Mécanique, Aug 2019, Brest, France. ⟨hal-02361166⟩

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