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Seven-equation, two-phase flow three-dimensional calculations using a Mixed-Element-Volume method

Stephen Wornom 1 Bruno Koobus 1, 2 Hervé Guillard 1 Angelo Murrone 1 Alain Dervieux 1
1 SMASH - Simulation, modeling and analysis of heterogeneous systems
CRISAM - Inria Sophia Antipolis - Méditerranée , Université de Provence - Aix-Marseille 1
Abstract : We present the extension of the five-equation two-dimensional two-phase model of Guillard and Murrone to three-dimensions. The Riemann solver is the acoustic version of the one proposed by Guillard and Murrone. The numerical scheme is a Mixed-Element-Volume approximation centered on the vertices of a tetrahedrization. It uses an edge based formulation. Upstream-Downstream tetrahedra-based limiters are applied for positiveness reinforcement. The computation in advanced in time using explicit multi-stage schemes. This numerical technology is implemented in the parallel mode using mesh partitioning and the message passing interface (MPI). We present some preliminary computations for validation with respect to 2D results and an application to the action of a blast wave on a dense bubble.
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https://hal.inria.fr/inria-00070446
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Submitted on : Friday, May 19, 2006 - 8:30:48 PM
Last modification on : Monday, July 23, 2018 - 2:20:01 PM
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Stephen Wornom, Bruno Koobus, Hervé Guillard, Angelo Murrone, Alain Dervieux. Seven-equation, two-phase flow three-dimensional calculations using a Mixed-Element-Volume method. [Research Report] RR-5560, INRIA. 2006, pp.28. ⟨inria-00070446⟩

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