A simple Cartesian scheme for compressible multimaterials

TL;DR

This paper introduces a straightforward Eulerian numerical scheme capable of simulating interactions between two non-miscible compressible materials with different properties, including fluids and solids, across various interaction regimes.

Contribution

The paper proposes a unified, simple Cartesian scheme for simulating compressible multimaterial interactions regardless of material differences.

Findings

Successfully simulates gas-gas interactions.

Handles gas-water and gas-elastic solid interactions.

Effective in large deformation regimes.

Abstract

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.