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E cient Numerical approximation of Compressible Multi-material ow for unstructured meshes.
 

Summary: Ecient Numerical approximation of Compressible Multi-material
ow for unstructured meshes.
R. Abgrall () , B. Nkonga () and R. Saurel (y)
() Mathématiques Appliquées de Bordeaux,
33405 Talence cedex, FRANCE.
and
(y) IUSTI, Université Aix Marseille I,
13453 Marseille Cedex 13, FRANCE.
E-mail:abgrall, nkonga@math.u-bordeaux.fr, richard@iusti.univ-mrs.fr
Abstract
We consider the numerical approximation of multidimensional multi-material ows. This is a dicult
topic related to the numerical smearing of contact discontinuities (or material interfaces or slip lines).
Any Eulerian scheme will produce an articial mixing zone. In this articial mixture, the computation
of thermodynamical variables (pressure, sound speed, temperature ..) is dicult to achieved correctly.
For the sti cases considered in this paper, with solid-liquid-gas interfaces, small error on the thermo-
dynamical variables leads to the blow up of the computation. In this paper, we review and explain
this problem, then we propose solutions for 1D and 2D ows. Contrarily to front-tracking technics, our
schemes use the same formulation everywhere on the mesh. We provide several examples with the sti-
ened gas equation of state (EOS) : inert materials (water-air), and chemically reactive materials (solid
explosive-plexiglass-air).

  

Source: Abgrall, Rémi - Institut de Mathematiques de Bordeaux, Université Bordeaux

 

Collections: Mathematics