Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method
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
Journal of Computational Physics
Modelling detonation waves in heterogeneous energetic materials
Journal of Computational Physics
Simulation of multicomponent flows using high order central schemes
Applied Numerical Mathematics
Implementation of WENO schemes in compressible multicomponent flow problems
Journal of Computational Physics
A second-order γ-model BGK scheme for multimaterial compressible flows
Applied Numerical Mathematics
An efficient ghost fluid method for compressible multifluids in Lagrangian coordinate
Applied Numerical Mathematics
An adaptive ghost fluid finite volume method for compressible gas-water simulations
Journal of Computational Physics
A front-tracking/ghost-fluid method for fluid interfaces in compressible flows
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 Hybrid Algorithm for the Baer-Nunziato Model Using the Riemann Invariants
Journal of Scientific Computing
Journal of Computational Physics
Towards front-tracking based on conservation in two space dimensions III, tracking interfaces
Journal of Computational Physics
A diffuse interface model with immiscibility preservation
Journal of Computational Physics
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Extensions of many successful single-component schemes to compute multicomponent gas dynamics suffer from oscillations and other computational inaccuracies near material interfaces that are caused by the failure of the schemes to maintain pressure equilibrium between the fluid components. A new algorithm based on the compressible Euler equations for multicomponent fluids augmented by the pressure evolution equation is presented. The extended set of equations offers two alternative ways to update the pressure field: (i) using the equation of state or (ii) using the pressure evolution equation. In a numerical implementation, these two procedures generally yield different answers. The former is a standard conservative update, but may produce oscillations near material interfaces; the latter is nonconservative, but becomes exact near interfaces and automatically maintains pressure equilibrium. A hybrid scheme which selects from the two pressure update procedures is presented. The scheme perfectly conserves total mass and momentum and conserves total energy everywhere except at a finite (very small) number of grid cells. Computed solutions exhibit oscillation-free interfaces and have {\em negligible} relative conservation errors in total energy even for very strong shocks. The proposed hybrid approach and switching strategies are independent of the numerical implementation and may provide a simple framework within which to extend one's favourite scheme to solve multifluid dynamics.