Simulating the Linearly Elastic Solid–Solid Interaction with a Cut Cell Method

Abstract

In this work, a cut cell-based sharp interface method is developed to deal with the interaction between linearly elastic solids in Eulerian framework. The material interface is represented by cut faces, and evolved by level set equation. Finite volume scheme is applied and strong coupling is achieved by using the Riemann solver for linearly elastic solid–solid interaction on the material interface. Original Ghost Solid Method (OGSM) and Modified Ghost Solid Method (MGSM) are realized in the Eulerian framework for comparison. Simulation results show that OGSM can lead to severe nonphysical oscillations when the density ratio is high, which is same as the results in KK. The location of wave front calculated by Ghost Solid Methods (GSMs) deviates from the exact location, because the evaluation of the ghost points deviates from the real interface location. The developed cut cell-based method gives accurate wave front location, and is stable for high density and acoustic impedance ratio and high-order reconstruction.