A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid

Abstract

A recently introduced coupling strategy for two nonconservative hyperbolic systems is employed to investigate a collapsing vapor bubble embedded in a liquid near a solid. For this purpose, an elastic solid modeled by a linear system of conservation laws is coupled to the two-phase Baer–Nunziato-type model for isothermal fluids, a nonlinear hyperbolic system with nonconservative products. For the coupling of the two systems the Jin-Xin relaxation concept is employed and embedded in a second order finite volume scheme. Numerical simulations studying the collapsing bubble experiment in one space dimension are presented.