An anti-diffusive numerical scheme for the simulation of interfaces between compressible fluids by means of a five-equation model

  • Authors:

  • S. Kokh;F. Lagoutière

  • Affiliations:

  • DEN/DANS/DM2S/SFME/LETR, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France;Université Paris-Sud 11, Département de Mathématiques, Bítiment 425, 91405 Orsay Cedex, France and íquipe-Projet SIMPAF, Centre de Recherche INRIA Futurs, Parc Scientifiqu ...

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2010

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Abstract

We propose a discretization method of a five-equation model with isobaric closure for the simulation of interfaces between compressible fluids. This numerical solver is a Lagrange-Remap scheme that aims at controlling the numerical diffusion of the interface between both fluids. This method does not involve any interface reconstruction procedure. The solver is equipped with built-in stability and consistency properties and is conservative with respect to mass, momentum, total energy and partial masses. This numerical scheme works with a very broad range of equations of state, including tabulated laws. Properties that ensure a good treatment of the Riemann invariants across the interface are proven. As a consequence, the numerical method does not create spurious pressure oscillations at the interface. We show one-dimensional and two-dimensional classic numerical tests. The results are compared with the approximate solutions obtained with the classic upwind Lagrange-Remap approach, and with experimental and previously published results of a reference test case.