Eigenvalue bounds for compressible stratified magnetoshear flows varying in two transverse directions

A Two -Step Modification toward Implementing Compressible Source Terms in Low Compressible Flows

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...

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...

High-resolution simulation of cavitation in compressible two-phase flows

The aim of this research project is to take an existing compressible two-phase flow solver and to turn it into a fully parallelized scalable MPI code capable of simulating three-dimensional geometries at unprecedented resolution with high fidelity to the basic physics. The existing code has been developed by several academics (Stephen Shaw, Xi’an JiaotongLiverpool University, and Peter Spelt, E...