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A Cartesian scheme for compressible multimaterial models in 3D

Brevet
Author
BRAUER, Alexia
27730 Institut de Mathématiques de Bordeaux [IMB]
IOLLO, Angelo
27730 Institut de Mathématiques de Bordeaux [IMB]
ccMILCENT, Thomas

URI
http://hdl.handle.net/10985/17030
DOI
10.1016/j.jcp.2016.02.032.
Date
2016

Abstract

We model the three-dimensional interaction of compressible materials separated by sharp interfaces. We simulate fluid and hyperelastic solid flows in a fully Eulerian framework. The scheme is the same for all materials and can handle large deformations and frictionless contacts. Necessary conditions for hyperbolicity of the hyperelastic neohookean model in three dimensions are proved thanks to an explicit computation of the characteristic speeds. We present stiff multimaterial interactions including air–helium and water–air shock interactions, projectile-shield impacts in air and rebounds.

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