A simple and fast phase transition relaxation solver for compressible multicomponent two-phase flows

Phase Change Simulation for Isothermal Compressible Two-Phase Flows

Compressible Two-Phase Flows: Two-Pressure Models and Numerical Methods

A conservative hyperbolic model for compressible two-phase two-fluid model is studied and numerical methods for its approximate solution are proposed. The derivation of the governing equations of the model is based on the principles of extended thermodynamics. The field equations form a hyperbolic system of balance equations in conservative form, which guarantees the well-posedness of the initi...

Exact solutions to the Riemann problem for compressible isothermal Euler equations for two phase flows with and without phase transition

We consider the isothermal Euler equations with phase transition between a liquid and a vapor phase. The mass transfer is modeled by a kinetic relation. We prove existence and uniqueness results. Further, we construct the exact solution for Riemann problems. We derive analogous results for the cases of initially one phase with resulting condensation by compression or evaporation by expansion. F...

Random sampling remap for compressible two-phase flows

In this paper we address the problem of solving accurately gas-liquid compressible flows without pressure oscillations at the gas-liquid interface. We introduce a new Lagrange-projection scheme based on a random sampling technique introduced by Chalons and Goatin in [CG07]. We compare it to a ghost fluid approach introduced in [WLK06, MBKKH09] which is based on the ghost fluid method for the po...

Compressible Two-phase Flows by Central and Upwind Schemes

This paper concerns numerical methods for two-phase flows. The governing equations are the compressible 2-velocity, 2-pressure flow model. Pressure and velocity relaxation are included as source terms. Results obtained by a Godunov-type central scheme and a Roe-type upwind scheme are presented. Issues of preservation of pressure equilibrium, and positivity of the partial densities are addressed...