Title: Numerical resolution of a two-component compressible fluid model with interfaces

Authors: Bruno Despres, Frederic Lagoutiere

Addresses: Commisariat a l'Energie Atomique DIF/DSSI 91680, Bruyeres le Chatel BP 12, France. ' Universite Denis Diderot (Paris-VII) and Laboratoire Jacques-Louis-Lions (CNRS UMR 7598), 175, rue du Chevaleret, 75013 Paris, France

Abstract: We study an algorithm for moving interfaces in a two-component compressible fluid model. We propose to use the limited downwind scheme developed in Despres and Lagoutiere (1999, 2002) to avoid artificial numerical spreading of interfaces. The numerical treatment of the mixture is shown to be free of spurious pressure and velocity oscillations near the contact discontinuity. The algorithm is conservative for partial masses, total impulse and total energy. Various numerical simulations show the interest of this approach, for interfaces in dimensions 1, 2 and 3. Simplicity of the coding is an important feature of the algorithm.

Keywords: finite volume schemes; interfaces; anti-dissipative algorithms; oscillation control; spurious oscillations; compressible fluids; simulation; CFD; computational fluid dynamics; partial differential equations; PDE modelling.

DOI: 10.1504/PCFD.2007.014680

Progress in Computational Fluid Dynamics, An International Journal, 2007 Vol.7 No.6, pp.295 - 310

Published online: 25 Jul 2007 *

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