A Cartesian Scheme for Compressible Multimaterial Models in 3D

Alexia de Brauer (1) , Angelo Iollo (2) , Thomas Milcent (3)

1 IMB - Institut de Mathématiques de Bordeaux
2 MEMPHIS - Modeling Enablers for Multi-PHysics and InteractionS
3 I2M - Institut de Mécanique et d'Ingénierie de Bordeaux

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.

Domaines: Modélisation et simulation

Alexia de Brauer, Angelo Iollo, Thomas Milcent. A Cartesian Scheme for Compressible Multimaterial Models in 3D. Journal of Computational Physics, 2016, 313, pp.121-143. ⟨10.1016/j.jcp.2016.02.032⟩. ⟨hal-01405322⟩