No. 2024.08
A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid
N. Kolbe and S. Müller
Subject: Coupled hyperbolic systems, two-phase flow, path-conservative schemes, finite volume schemes, Baer–Nunziato model, relaxation system
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.
Reference
Applied mathematics and computation 504, Issue C (2025)