Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Journal of Computational Physics
A multiphase Godunov method for compressbile multifluid and multiphase flows
Journal of Computational Physics
A Simple Method for Compressible Multifluid Flows
SIAM Journal on Scientific Computing
A five-equation model for the simulation of interfaces between compressible fluids
Journal of Computational Physics
A compressible flow model with capillary effects
Journal of Computational Physics
Advances in Engineering Software
A Darcy law for the drift velocity in a two-phase flow model
Journal of Computational Physics
Journal of Computational Physics
Multi-material interface reconstruction on generalized polyhedral meshes
Journal of Computational Physics
Numerical simulation of Richtmyer-Meshkov instability driven by imploding shocks
Mathematics and Computers in Simulation
An all-speed relaxation scheme for interface flows with surface tension
Journal of Computational Physics
Solid-fluid diffuse interface model in cases of extreme deformations
Journal of Computational Physics
Journal of Computational Physics
Modeling phase transition for compressible two-phase flows applied to metastable liquids
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
An interface capturing method for the simulation of multi-phase compressible flows
Journal of Computational Physics
Wavefronts in a Relativistic Two-Phase Turbulent Flow
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
Journal of Computational Physics
Journal of Computational Physics
An Eulerian algorithm for coupled simulations of elastoplastic-solids and condensed-phase explosives
Journal of Computational Physics
A diffuse interface model with immiscibility preservation
Journal of Computational Physics
Conservative multi-material remap for staggered multi-material Arbitrary Lagrangian-Eulerian methods
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.56 |
This paper studies an Eulerian diffuse interface model for the simulation of compressible multifluid and two-phase flow problems. We first show how to derive this model from a seven equation, two pressure, two velocity model of Baer-Nunziato type using an asymptotic analysis in the limit of zero relaxation time. We then study the mathematical properties of the system, the structure of the waves, the expression of the Riemann's invariants and the existence of a mathematical entropy. We also describe two different numerical approximation schemes for this system. The first one relies on a linearized Riemann solver while the second uses more heavily the mathematical structure of the system and relies on a linearization of the characteristic relations. Finally, we present some numerical experiments and comparisons with the results obtained by the two pressure, two velocity model as well as some test cases and comparisons with another five equation model recently proposed for interface computations between compressible fluids.