Journal of Computational Physics
A high-order Godunov method for multiple condensed phases
Journal of Computational Physics
Introduction to “An arbitrary Lagrangian-Eulerian computing method for all flow speeds”
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
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 high-resolution Godunov method for compressible multi-material flow on overlapping grids
Journal of Computational Physics
A second-order γ-model BGK scheme for multimaterial compressible flows
Applied Numerical Mathematics
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
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 Computational Physics
Anti-diffusion method for interface steepening in two-phase incompressible flow
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 diffuse interface model with immiscibility preservation
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.46 |
In this paper we propose an interface sharpening technique for two-phase compressible-flow simulations based on volume-of-fluid methods. The idea of sharpening the two-fluid interface is to provide a correction algorithm which can be applied as post-processing to the volume-fraction field after each time step. For this purpose an anti-diffusion equation, i.e. a diffusion equation with a positive diffusion coefficient, is solved to counter-act the numerical diffusion resulting from the underlying VOF discretization. The numerical stability and volume-fraction boundedness in solving the anti-diffusion equation are ensured by a specified discretization scheme. No interface reconstruction and interface normal calculation are required in this method. All flow variables are updated with the sharpened volume-fraction field for ensuring the consistency of the variables, and the update of the phase mass, momentum and energy is conservative. Numerical results for shock-tube and shock-bubble interactions based on the ideal-gas EOS and shock contact problems based on the Mie-Gruneisen EOS show an improved interface resolution. The large-scale interface structures are in good agreement with reference results, and finer small-scale interface structures are recovered in a consistent manner as the grid resolution increases. As compared with reference high grid-resolution numerical results based on AMR algorithms, the interface roll-up phenomena due to the Richtmyer-Meshkov instability and the Kelvin-Helmholtz instability are recovered reliably for shock-bubble interactions involving different ideal gases.