A simple Cartesian scheme for compressible multimaterials

Yannick Gorsse (1, 2) , Angelo Iollo (2, 1) , Thomas Milcent (3) , Haysam Telib (4)

1 MC2 - Modélisation, contrôle et calcul
2 IMB - Institut de Mathématiques de Bordeaux
3 I2M - Institut de Mécanique et d'Ingénierie de Bordeaux
4 DIASP - Dipartimento di Ingegneria Aeronautica e Spaziale [Torino]

We present a simple numerical method to simulate the interaction of two non-miscible compressible materials separated by an interface. The media considered may have significantly different physical properties and constitutive laws, describing for example fluids or hyperelastic solids. The model is fully Eulerian and the scheme is the same for all materials. We show stiff numerical illustrations in case of gas–gas, gas–water, gas–elastic solid interactions in the large deformation regime.

Mots clés: Immersed boundary; Eulerian elasticity; Compressible multimaterial

Domaines: Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]

Yannick Gorsse, Angelo Iollo, Thomas Milcent, Haysam Telib. A simple Cartesian scheme for compressible multimaterials. Journal of Computational Physics, 2014, 272, pp.772-798. ⟨10.1016/j.jcp.2014.04.057⟩. ⟨hal-01089287⟩