The simulation of compressible multi-fluid multi-solid interactions using the modified ghost method

•A coherent and consistent approach for simulating multi-medium problems is proposed.•The approach is based on the Modified Ghost Method (MGM).•The method is extended to take on both elastic and plastic deformations for solids.•The exact solution for 1D fluid-elastic-plastic solid Riemann problem is derived.•A case with a complex geometry in solid domain is simulated to show the versatility.

Based on the Modified Ghost Fluid Method (MGFM) and Modified Ghost Solid Method (MGSM), the Modified Ghost Method (MGM) is developed to deal with the combined compressible multi-fluid multi-solid interactions. The exact solution for 1D fluid-elastic-plastic solid Riemann problem is derived, which is subsequently used to verify the validity of the MGM as applied to fluid-elastic-plastic solid interaction. Using MGM, we construct a coherent and consistent approach to simulate truly compressible multi-medium problems as for gas-water-solid-solid interaction. Similar to the 1D cases, several 2D multi-medium cases are simulated to show the versatility and ease of application for the MGM. Finally, a multi-medium case with a complex geometry in solid domain is simulated, which shows that the proposed approach can be effectively used to study the response of the various structure domain.