GORSSE, Yannick; IOLLO, Angelo; WEYNANS, Lisl

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GORSSE, Yannick
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]

IOLLO, Angelo
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]

WEYNANS, Lisl
Institut de Mathématiques de Bordeaux [IMB]
Modélisation, contrôle et calcul [MC2]

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Communication dans un congrès

Ce document a été publié dans

21ème Congrès Français de Mécanique, S14 - Interactions fluides-structures et contrôle, 21ème Congrès Français de Mécanique, S14 - Interactions fluides-structures et contrôle, 21ème Congrès Français de Mécanique, 2013-08-26, Bordeaux. 2013-12-20p. http://hdl.handle.net/2042/52445

AFM, Maison de la Mécanique, 39/41 rue Louis Blanc, 92400 Courbevoie, France(FR)

Résumé en anglais

We present a second-order finite-volume scheme for compressible Euler flows in complex geometries, with a discretization on a cartesian grid which in general does not fit to the geometry. In the fluid domain, away from the solid boundary, we use a classical finite-volume method based on an approximate Riemann solver. At the cells located on the boundary with the solid, we solve an ad hoc Riemann problem taking into account the relevant boundary condition for the convective fluxes by an appropriate definition of the contact discontinuity speed. To avoid pressure oscillations near the boundary, we weight the boundary condition with a fluid extrapolation, as a function of the angle between the normal to the boundary and the cartesian mesh. The scheme is simple to implement and it is formally second order accurate. Error convergence rates with respect to several exact test cases are investigated, as well as comparisons with other numerical methods of the literature. Examples of flow solutions in one, two and three dimensions are presented.< Réduire

Mots clés en anglais

compressible inviscid flows

complex geometry

cartesian grid discretization

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251