Front tracking for gas dynamics
Journal of Computational Physics
Computing interface motion in compressible gas dynamics
Journal of Computational Physics
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
Journal of Computational Physics
SIAM Journal on Scientific Computing
A high-order Godunov method for multiple condensed phases
Journal of Computational Physics
Correction of conservative Euler solvers for gas mixtures
Journal of Computational Physics
A Riemann problem based method for the resolution of compressible multimaterial flows
Journal of Computational Physics
On the Choice of Wavespeeds for the HLLC Riemann Solver
SIAM Journal on Scientific Computing
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
The ghost fluid method for deflagration and detonation discontinuities
Journal of Computational Physics
A Simple Method for Compressible Multifluid Flows
SIAM Journal on Scientific Computing
3D Impact and Toroidal Bubbles
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
Computations of compressible multifluids
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method
Journal of Computational Physics
A five-equation model for the simulation of interfaces between compressible fluids
Journal of Computational Physics
Ghost fluid method for strong shock impacting on material interface
Journal of Computational Physics
On the computation of multi-material flows using ALE formulation
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
Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
SIAM Journal on Numerical Analysis
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
Journal of Computational Physics
A high-resolution Godunov method for compressible multi-material flow on overlapping grids
Journal of Computational Physics
Journal of Computational Physics
A conservative level set method for two phase flow II
Journal of Computational Physics
Journal of Computational Physics
A front-tracking/ghost-fluid method for fluid interfaces in compressible flows
Journal of Computational Physics
On the HLLC Riemann solver for interface interaction in compressible multi-fluid flow
Journal of Computational Physics
Short Note: A comment on the computation of non-conservative products
Journal of Computational Physics
Journal of Computational Physics
An interface capturing method for the simulation of multi-phase compressible flows
Journal of Computational Physics
Journal of Scientific Computing
Anti-diffusion interface sharpening technique for two-phase compressible flow simulations
Journal of Computational Physics
Hi-index | 31.45 |
A new, simple, and computationally efficient interface capturing scheme based on a diffuse interface approach is presented for simulation of compressible multiphase flows. Multi-fluid interfaces are represented using field variables (interface functions) with associated transport equations that are augmented, with respect to an established formulation, to enforce a selected interface thickness. The resulting interface region can be set just thick enough to be resolved by the underlying mesh and numerical method, yet thin enough to provide an efficient model for dynamics of well-resolved scales. A key advance in the present method is that the interface regularization is asymptotically compatible with the thermodynamic mixture laws of the mixture model upon which it is constructed. It incorporates first-order pressure and velocity non-equilibrium effects while preserving interface conditions for equilibrium flows, even within the thin diffused mixture region. We first quantify the improved convergence of this formulation in some widely used one-dimensional configurations, then show that it enables fundamentally better simulations of bubble dynamics. Demonstrations include both a spherical-bubble collapse, which is shown to maintain excellent symmetry despite the Cartesian mesh, and a jetting bubble collapse adjacent a wall. Comparisons show that without the new formulation the jet is suppressed by numerical diffusion leading to qualitatively incorrect results.