Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Numerical computation of internal & external flows: fundamentals of numerical discretization
Numerical computation of internal & external flows: fundamentals of numerical discretization
Computing interface motion in compressible gas dynamics
Journal of Computational Physics
An interface tracking method for hyperbolic systems of conservation laws
Applied Numerical Mathematics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
A second-order accurate capturing scheme for 1D inviscid flows of gas and water with vacuum zones
Journal of Computational Physics
A Riemann problem based method for the resolution of compressible multimaterial flows
Journal of Computational Physics
An isobaric fix for the overheating problem in multimaterial compressible flows
Journal of Computational Physics
SIAM Review
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
The ghost fluid method for deflagration and detonation discontinuities
Journal of Computational Physics
A PDE-based fast local level set method
Journal of Computational Physics
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
Journal of Computational Physics
The constrained interpolation profile method for multiphase analysis
Journal of Computational Physics
Computations of compressible multifluids
Journal of Computational Physics
Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method
Journal of Computational Physics
A level set approach to Eulerian-Lagrangian coupling
Journal of Computational Physics
Ghost fluid method for strong shock impacting on material interface
Journal of Computational Physics
A conservative interface method for compressible flows
Journal of Computational Physics
Journal of Computational Physics
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
On the HLLC Riemann solver for interface interaction in compressible multi-fluid flow
Journal of Computational Physics
An interface capturing method for the simulation of multi-phase compressible flows
Journal of Computational Physics
SIAM Journal on Scientific Computing
Journal of Computational Physics
Hi-index | 31.49 |
In the development of numerical schemes for compressible multifluids, the treatment of the interface is very important. In this paper, we proposed a numerical method based on interface interactions where the ghost cells of the ghost fluid method, GFM [J. Comput. Phys. 152 (1999) 457], are determined by solving the real interface interaction and the hypothetical "ghost" interaction. Extensive tests in 1D are carried out and with the 2D examples suggest that the, present scheme is able to handle multifluids problems with large difference of states and material properties at interface while still keeping to the simplicity of the original GFM.