An algorithm to control the pressure evolution for the FVCF-NIP method for compressible multi-material fluid flows

Jean-Philippe Braeunig 1, 2, 3
2 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : The purpose of this paper is to describe a new algorithm for the pure Eulerian interface capturing method FVCF-NIP. In this method, the interface is sharp and piecewise linear. In a cell containing two materials, termed as mixed cell, each one is pure at both sides of the interface and no diffusion is allowed through it. A conservative scheme is written on each material volume using the condensate formalism which allows in particular sliding of materials on each others. However, material volumes in mixed cells can be tiny and therefore the condition on the time step can be too much restrictive. The conservative scheme is then written with a time step only calculated considering pure cells. In mixed cells, a control procedure is built to ensure a stable evolution in small materials volumes. This new algorithm enhances the robustness of the method and allows to simulate a wider range of flow regimes.
Type de document :
Article dans une revue
International Journal on Finite Volumes, Institut de Mathématiques de Marseille, AMU, 2010, 1 (7), pp 101-132
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https://hal.archives-ouvertes.fr/hal-00531586
Contributeur : Jean-Philippe Braeunig <>
Soumis le : mercredi 3 novembre 2010 - 10:56:20
Dernière modification le : jeudi 9 février 2017 - 15:28:44

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  • HAL Id : hal-00531586, version 1

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Jean-Philippe Braeunig. An algorithm to control the pressure evolution for the FVCF-NIP method for compressible multi-material fluid flows. International Journal on Finite Volumes, Institut de Mathématiques de Marseille, AMU, 2010, 1 (7), pp 101-132. <hal-00531586>

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