Multiple grid and Osher's scheme for the efficient solution of the steady Euler equations
Applied Numerical Mathematics - Special issue on numerical methods for the Euler equation
Computing interface motion in compressible gas dynamics
Journal of Computational Physics
A positive finite-difference advection scheme
Journal of Computational Physics
Journal of Computational Physics
A multiphase Godunov method for compressbile multifluid and multiphase flows
Journal of Computational Physics
Numerical simulation of the homogeneous equilibrium model for two-phase flows
Journal of Computational Physics
A five-equation model for the simulation of interfaces between compressible fluids
Journal of Computational Physics
A pressure-invariant conservative Godunov-type method for barotropic two-fluid flows
Journal of Computational Physics
A five equation reduced model for compressible two phase flow problems
Journal of Computational Physics
Journal of Computational Physics
Design principles for bounded higher-order convection schemes - a unified approach
Journal of Computational Physics
Journal of Computational Physics
Anti-diffusion interface sharpening technique for two-phase compressible flow simulations
Journal of Computational Physics
Towards front-tracking based on conservation in two space dimensions III, tracking interfaces
Journal of Computational Physics
Hi-index | 31.46 |
A new formulation of Kapila's five-equation model for inviscid, non-heat-conducting, compressible two-fluid flow is derived, together with an appropriate numerical method. The new formulation uses flow equations based on conservation laws and exchange laws only. The two fluids exchange momentum and energy, for which exchange terms are derived from physical laws. All equations are written as a single system of equations in integral form. No equation is used to describe the topology of the two-fluid flow. Relations for the Riemann invariants of the governing equations are derived, and used in the construction of an Osher-type approximate Riemann solver. A consistent finite-volume discretization of the exchange terms is proposed. The exchange terms have distinct contributions in the cell interior and at the cell faces. For the exchange-term evaluation at the cell faces, the same Riemann solver as used for the flux evaluation is exploited. Numerical results are presented for two-fluid shock-tube and shock-bubble-interaction problems, the former also for a two-fluid mixture case. All results show good resemblance with reference results.