Front tracking for gas dynamics
Journal of Computational Physics
Computing interface motion in compressible gas dynamics
Journal of Computational Physics
Multicomponent flow calculations by a consistent primitive algorithm
Journal of Computational Physics
Journal of Computational Physics
SIAM Journal on Scientific Computing
A Riemann problem based method for the resolution of compressible multimaterial flows
Journal of Computational Physics
Total variation diminishing Runge-Kutta schemes
Mathematics of Computation
An efficient shock-capturing algorithm for compressible multicomponent problems
Journal of Computational Physics
Three-Dimensional Front Tracking
SIAM Journal on Scientific Computing
A multiphase Godunov method for compressbile multifluid and multiphase flows
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
Journal of Computational Physics
A Simple Method for Compressible Multifluid Flows
SIAM Journal on Scientific Computing
Journal of Computational Physics
Computations of compressible multifluids
Journal of Computational Physics
Journal of Computational Physics
A five-equation model for the simulation of interfaces between compressible fluids
Journal of Computational Physics
A flux-split algorithm applied to conservative models for multicomponent compressible flows
Journal of Computational Physics
Ghost fluid method for strong shock impacting on material interface
Journal of Computational Physics
Conservative Front Tracking with Improved Accuracy
SIAM Journal on Numerical Analysis
On the computation of multi-material flows using ALE formulation
Journal of Computational Physics
An interface interaction method for compressible multifluids
Journal of Computational Physics
Finite-volume WENO schemes for three-dimensional conservation laws
Journal of Computational Physics
A five equation reduced model for compressible two phase flow problems
Journal of Computational Physics
The ghost fluid method for compressible gas-water simulation
Journal of Computational Physics
A conservative level set method for two phase flow
Journal of Computational Physics
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
A conservative interface method for compressible flows
Journal of Computational Physics
A note on the conservative schemes for the Euler equations
Journal of Computational Physics
A high-resolution Godunov method for compressible multi-material flow on overlapping grids
Journal of Computational Physics
The simulation of cavitating flows induced by underwater shock and free surface interaction
Applied Numerical Mathematics
High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set
Journal of Computational Physics
Journal of Computational Physics
A conservative level set method for two phase flow II
Journal of Computational Physics
On a new defect of shock-capturing methods
Journal of Computational Physics
An accurate conservative level set/ghost fluid method for simulating turbulent atomization
Journal of Computational Physics
A front-tracking/ghost-fluid method for fluid interfaces in compressible flows
Journal of Computational Physics
Anti-diffusion interface sharpening technique for two-phase compressible flow simulations
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 discontinuous Galerkin conservative level set scheme for interface capturing in multiphase flows
Journal of Computational Physics
A diffuse interface model with immiscibility preservation
Journal of Computational Physics
Journal of Computational Physics
A localized re-initialization equation for the conservative level set method
Journal of Computational Physics
Hi-index | 31.48 |
A novel finite-volume interface (contact) capturing method is presented for simulation of multi-component compressible flows with high density ratios and strong shocks. In addition, the materials on the two sides of interfaces can have significantly different equations of state. Material boundaries are identified through an interface function, which is solved in concert with the governing equations on the same mesh. For long simulations, the method relies on an interface compression technique that constrains the thickness of the diffused interface to a few grid cells throughout the simulation. This is done in the spirit of shock-capturing schemes, for which numerical dissipation effectively preserves a sharp but mesh-representable shock profile. For contact capturing, the formulation is modified so that interface representations remain sharp like captured shocks, countering their tendency to diffuse via the same numerical diffusion needed for shock-capturing. Special techniques for accurate and robust computation of interface normals and derivatives of the interface function are developed. The interface compression method is coupled to a shock-capturing compressible flow solver in a way that avoids the spurious oscillations that typically develop at material boundaries. Convergence to weak solutions of the governing equations is proved for the new contact capturing approach. Comparisons with exact Riemann problems for model one-dimensional multi-material flows show that the interface compression technique is accurate. The method employs Cartesian product stencils and, therefore, there is no inherent obstacles in multiple dimensions. Examples of two- and three-dimensional flows are also presented, including a demonstration with significantly disparate equations of state: a shock induced collapse of three-dimensional van der Waal's bubbles (air) in a stiffened equation of state liquid (water) adjacent to a Mie-Gruneisen equation of state wall (copper).