A sharp interface framework based on the inviscid Godunov-Peshkov-Romenski equations: Simulation of evaporating fluids

Abstract

A core aspect in the simulation of compressible fluid flow is the solution of Riemann problems. The solution is well understood for single-phase flows and is used to define numerical fluxes for finite volume and discontinuous Galerkin schemes. However, the solution of two-phase Riemann problems with phase transitions is still an active field of research. This is due to the strong coupling of complex thermodynamics and flow dynamics that leads to severe challenges in finding solutions. In this paper, we consider the Riemann problem based on the Godunov-Peshkov-Romenski formulation of the continuum flow equations and propose a novel strategy to model two-phase flows with phase transitions. We take into account heat transfer, which is modeled in this system of equations by hyperbolic terms. Our solver is applied to two-phase shock tubes with an evaporating fluid. It is validated against molecular dynamics simulations for the Lennard-Jones fluid with truncated and shifted potential.