Coupling strategies for compressible - low Mach number flowsReport as inadecuate




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* Corresponding author 1 LJLL - Laboratoire Jacques-Louis Lions 2 CEREMA - Centre d-études et d-expertise sur les risques, l-environnement, la mobilité et l-aménagement 3 ANGE - Numerical Analysis, Geophysics and Ecology LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt 4 CEA-DEN - CEA-Direction de l-Energie Nucléaire

Abstract : In order to enrich the modelling of fluid flows, we investigate in this paper a coupling between two models dedicated to distinct regimes. More precisely, we focus on the influence of the Mach number as the low Mach case is known to induce theoretical and numerical issues in a compressible framework. A moving interface is introduced to separate a compressible model Euler with source term and its low Mach counterpart through relevant transmission conditions. A global steady state for the coupled problem is exhibited. Numerical simulations are then performed to highlight the influence of the coupling by means of a robust numerical strategy.

Keywords : steady states transmission conditions Mach number coupling





Author: Yohan Penel - Stéphane Dellacherie - Bruno Després -

Source: https://hal.archives-ouvertes.fr/



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