The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state

Autor: Hantke, Maren, Matern, Christoph, Warnecke, Gerald, Yaghi, Hazem
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper a hyperbolic system of partial differential equations for two-phase mixture flows with $N$ 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.
Databáze: arXiv