Mathematical and numerical modeling of two-phase compressible flows with micro-inertia
Journal of Computational Physics
A five-equation model for the simulation of interfaces between compressible fluids
Journal of Computational Physics
Riemann-problem and level-set approaches for homentropic two-fluid flow computations
Journal of Computational Physics
A pressure-invariant conservative Godunov-type method for barotropic two-fluid flows
Journal of Computational Physics
Discrete equations for physical and numerical compressible multiphase mixtures
Journal of Computational Physics
The Riemann problem for the Baer-Nunziato two-phase flow model
Journal of Computational Physics
Journal of Computational Physics
Modelling detonation waves in heterogeneous energetic materials
Journal of Computational Physics
A fluid-mixture type algorithm for barotropic two-fluid flow problems
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
Adaptive characteristics-based matching for compressible multifluid dynamics
Journal of Computational Physics
Implementation of WENO schemes in compressible multicomponent flow problems
Journal of Computational Physics
Advances in Engineering Software
Journal of Computational Physics
A high-resolution Godunov method for compressible multi-material flow on overlapping grids
Journal of Computational Physics
A second-order γ-model BGK scheme for multimaterial compressible flows
Applied Numerical Mathematics
The simulation of cavitating flows induced by underwater shock and free surface interaction
Applied Numerical Mathematics
Journal of Computational Physics
A volume of fluid method for a two-dimensional plasma expansion problem
Journal of Computational Physics
Numerical schemes for low Mach wave breaking
International Journal of Computational Fluid Dynamics
Numerical simulation of Richtmyer-Meshkov instability driven by imploding shocks
Mathematics and Computers in Simulation
A front-tracking/ghost-fluid method for fluid interfaces in compressible flows
Journal of Computational Physics
An all-speed relaxation scheme for interface flows with surface tension
Journal of Computational Physics
Modeling phase transition for compressible two-phase flows applied to metastable liquids
Journal of Computational Physics
Journal of Computational Physics
HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow
Journal of Computational Physics
An interface capturing method for the simulation of multi-phase compressible flows
Journal of Computational Physics
Space-time discontinuous Galerkin finite element method for two-fluid flows
Journal of Computational Physics
Numerical approximation for a Baer-Nunziato model of two-phase flows
Applied Numerical Mathematics
SIAM Journal on Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
High throughput software for direct numerical simulations of compressible two-phase flows
SC '12 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis
A diffuse interface model with immiscibility preservation
Journal of Computational Physics
Positivity-preserving Lagrangian scheme for multi-material compressible flow
Journal of Computational Physics
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A simple second order accurate and fully Eulerian numerical method is presented for the simulation of multifluid compressible flows, governed by the stiffened gas equation of state, in hydrodynamic regime. Our numerical method relies on a second order Godunov-type scheme, with approximate Riemann solver for the resolution of conservation equations, and a set of nonconservative equations. It is valid for all mesh points and allows the resolution of interfaces. This method works for an arbitrary number of interfaces, for breakup and coalescence. It allows very high density ratios (up to 1000). It is able to compute very strong shock waves (pressure ratio up to 10 5). Contrary to all existing schemes (which consider the interface as a discontinuity) the method considers the interface as a numerical diffusion zone as contact discontinuities are computed in compressible single phase flows, but the variables describing the mixture zone are computed consistently with the density, momentum and energy. Several test problems are presented in one, two, and three dimensions. This method allows, for example, the computation of the interaction of a shock wave propagating in a liquid with a gas cylinder, as well as Richtmeyer--Meshkov instabilities, or hypervelocity impact, with realistic initial conditions. We illustrate our method with the Rusanov flux. However, the same principle can be applied to a more general class of schemes.