Front tracking for gas dynamics
Journal of Computational Physics
The bifurcation of tracked scalar waves
SIAM Journal on Scientific and Statistical Computing - Telecommunication Programs at U.S. Universities
Efficient volume computation for three-dimensional hexahedral cells
Journal of Computational Physics
High resolution finite volume methods on arbitrary grids via wave propagation
Journal of Computational Physics
Modelling merging and fragmentation in multiphase flows with SURFER
Journal of Computational Physics
One-dimensional front tracking based on high resolution wave propagation methods
SIAM Journal on Scientific Computing
Two-dimensional front tracking based on high resolution wave propagation methods
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 high-order Godunov method for multiple condensed phases
Journal of Computational Physics
Wave propagation algorithms for multidimensional hyperbolic systems
Journal of Computational Physics
Applied numerical linear algebra
Applied numerical linear algebra
Handbook of discrete and computational geometry
Handbook of discrete and computational geometry
Reconstructing volume tracking
Journal of Computational Physics
An efficient shock-capturing algorithm for compressible multicomponent problems
Journal of Computational Physics
A second-order Godunov method for wave problems in coupled solid-water-gas systems
Journal of Computational Physics
Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
Journal of Computational Physics
Journal of Computational Physics
A volume of fluid based method for fluid flows with phase change
Journal of Computational Physics
A new volume of fluid advection algorithm: the stream scheme
Journal of Computational Physics
Journal of Computational Physics
A wave propagation method for three-dimensional hyperbolic conservation laws
Journal of Computational Physics
A high-order Eulerian Godunov method for elastic-plastic flow in solids
Journal of Computational Physics
Journal of Computational Physics
The constrained interpolation profile method for multiphase analysis
Journal of Computational Physics
Computer Simulation of Dynamic Phenomena
Computer Simulation of Dynamic Phenomena
A free-Lagrange augmented Godunov method for the simulation of elastic-plastic solids
Journal of Computational Physics
A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing
Journal of Computational Physics
A flux-split algorithm applied to conservative models for multicomponent compressible flows
Journal of Computational Physics
Journal of Computational Physics
H-Box Methods for the Approximation of Hyperbolic Conservation Laws on Irregular Grids
SIAM Journal on Numerical Analysis
Second order accurate volume tracking based on remapping for triangular meshes
Journal of Computational Physics
A compressible flow model with capillary effects
Journal of Computational Physics
A Cartesian grid embedded boundary method for hyperbolic conservation laws
Journal of Computational Physics
A high-resolution Godunov method for compressible multi-material flow on overlapping grids
Journal of Computational Physics
On the HLLC Riemann solver for interface interaction in compressible multi-fluid flow
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
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
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.49 |
We present a simple volume-of-fluid approach to interface tracking for inviscid compressible multicomponent flow problems in two space dimensions. The algorithm uses a uniform Cartesian grid with some grid cells subdivided by tracked interfaces, approximately aligned with the material interfaces in the flow field. A standard volume-moving procedure that consists of two basic steps: (1) the update of a discrete set of volume fractions from the current time to the next and (2) the reconstruction of interfaces from the resulting volume fractions, is employed to find the new location of the tracked interfaces in piecewise linear form at the end of a time step. As in the previous work by LeVeque and the author to front tracking based on a surface-moving procedure (R.J. LeVeque, K.-M. Shyue, Two-dimensional front tracking based on high-resolution wave propagation methods, J. Comput. Phys. 123 (1996) 354-368), a conservative high-resolution wave propagation method is applied on the resulting slightly non-uniform grid to update all the cell values, while the stability of the method is maintained by using a large time step idea even in the presence of small cells and the use of a time step with respect to the uniform grid cells. We validate our algorithm by performing the simulation of a Mach 1.22 shock wave in air over a circular R22 gas bubble, where sensible agreement of some key flow features of the computed solutions are observed when direct comparison of our results are made with the existing experimental and numerical ones that appear in the literature. Other computations are also presented that show the feasibility of the algorithm together with a mixture type of the model equations developed by the author (K.-M. Shyue, A fluid-mixture type algorithm for compressible multicomponent flow with Mie-Gruneisen equation of state, J. Comput. Phys. 171 (2001) 678-707) for practical multicomponent problems with general compressible materials characterized by a Mie-Gruneisen form of the equation of state.