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

Niklas Kolbe and Siegfried Müller

Applied Mathematics and Computation, 2025, vol. 504, issue C

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.

Keywords: Coupled hyperbolic systems; Two-phase flow; Path-conservative schemes; Finite volume schemes; Baer–Nunziato model; Relaxation system (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:504:y:2025:i:c:s0096300325002292

DOI: 10.1016/j.amc.2025.129503

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