The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state
Analysis of PDEs
2022-08-24 v1
Abstract
In this paper a hyperbolic system of partial differential equations for two-phase mixture flows with components is studied. It is derived from a more complicated model involving diffusion and exchange terms. Important features of the model are the assumption of isothermal flow, the use of a phase field function to distinguish the phases and a mixture equation of state involving the phase field function as well as an affine relation between partial densities and partial pressures in the liquid phase. This complicates the analysis. A complete solution of the Riemann initial value problem is given. Some interesting examples are suggested as bench marks for numerical schemes.
Cite
@article{arxiv.2208.10850,
title = {The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state},
author = {Maren Hantke and Christoph Matern and Gerald Warnecke and Hazem Yaghi},
journal= {arXiv preprint arXiv:2208.10850},
year = {2022}
}