Large Time Step Positivity-Preserving Method for Multiphase Flows

F. Coquel (), Q. -L. Nguyen (), M. Postel () and Q. -H. Tran ()
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F. Coquel: Université Pierre et Marie Curie, CNRS et Laboratoire Jacques Louis Lions
Q. -L. Nguyen: Institut Français du Pétrole, Département Mathématiques Appliquées
M. Postel: Université Pierre et Marie Curie, Laboratoire Jacques Louis Lions
Q. -H. Tran: Institut Français du Pétrole, Département Mathématiques Appliquées

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 849-856 from Springer

Abstract: Using a relaxation strategy in a Lagrangian–Eulerian formulation, we propose a scheme in local conservation form for approximating weak solutions of complex compressible flows involving wave speeds of different orders of magnitude. Explicit time integration is performed on slow transport waves for the sake of accuracy while fast acoustic waves are dealt with implicitly to enable large time stepping. A CFL condition based on the slow waves is derived ensuring positivity properties on the density and the mass fraction. Numerical benchmarks validate the method.

Keywords: Slow Wave; Multiphase Flow; Riemann Problem; Relaxation Scheme; Explicit Time Integration (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_88

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DOI: 10.1007/978-3-540-75712-2_88

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