Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
How to preserve the mass fractions positivity when computing compressible multi-component flows
Journal of Computational Physics
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
Modelling merging and fragmentation in multiphase flows with SURFER
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Multicomponent flow calculations by a consistent primitive algorithm
Journal of Computational Physics
Finite volume approximation of two phase-fluid flows based on an approximate Roe-type Riemann solver
Journal of Computational Physics
Journal of Computational Physics
An efficient shock-capturing algorithm for compressible multicomponent problems
Journal of Computational Physics
A multiphase Godunov method for compressbile multifluid and multiphase flows
Journal of Computational Physics
SIAM Review
Journal of Computational Physics
A Simple Method for Compressible Multifluid Flows
SIAM Journal on Scientific Computing
Numerical simulation of the homogeneous equilibrium model for two-phase flows
Journal of Computational Physics
Robust Computational Algorithms for Dynamic Interface Tracking in Three Dimensions
SIAM Journal on Scientific Computing
Journal of Computational Physics
Computations of compressible multifluids
Journal of Computational Physics
Journal of Computational Physics
A fluid-mixture type algorithm for barotropic two-fluid flow problems
Journal of Computational Physics
Isentropic one-fluid modelling of unsteady cavitating flow
Journal of Computational Physics
A five equation reduced model for compressible two phase flow problems
Journal of Computational Physics
A compressible flow model with capillary effects
Journal of Computational Physics
Numerical resolution of a potential diphasic low Mach number system
Journal of Computational Physics
Two-dimensional computation of gas flow in a porous bed characterized by a porosity jump
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Numerical simulation of Richtmyer-Meshkov instability driven by imploding shocks
Mathematics and Computers in Simulation
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
A high-resolution mapped grid algorithm for compressible multiphase flow problems
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
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
An accurate low-Mach scheme for a compressible two-fluid model applied to free-surface flows
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.54 |
A diffuse-interface method is proposed for the simulation of interfaces between compressible fluids with general equations of state, including tabulated laws. The interface is allowed to diffuse on a small number of computational cells and a mixture model is given for this transition region. We write conservation equations for the mass of each fluid and for the total momentum and energy of the mixture and an advection equation for the volume fraction of one of the two fluids. The model needs an additional closure law. We study two different closure laws: isobaric and isothermal. We study the mathematical properties of the resulting models: consistency, hyperbolicity, and existence of a mathematical entropy. We also study the stability of the interfaces with respect to averaging due to the numerical diffusion, a crucial property for the simulation of interface problems by conservative schemes. We show that the isobaric closure is preferable to the isothermal closure with respect to this property. We propose a Roe-type numerical scheme for the simulation of the model and show numerical results for classical test cases.