A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid
<|reference_start|>A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid: A recently developed 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 non-conservative products. For the coupling of the two systems the Jin-Xin relaxation concept is employed and embedded in a second order finite volume scheme. For a proof of concept simulations in one space dimension are performed.<|reference_end|>
@article{kolbe2024a,
    title={A relaxation approach to the coupling of a two-phase fluid with a
  linear-elastic solid},
    author={Niklas Kolbe and Siegfried M"uller},
    journal={arXiv preprint arXiv:2409.05473},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.05473},
    primaryClass={math.NA cs.NA}
}