Numerical simulations of the Rayleigh-Taylor instability
Journal of Computational Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Computing interface motion in compressible gas dynamics
Journal of Computational Physics
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 gas-kinetic scheme for multimaterial flows and its application in chemical reactions
Journal of Computational Physics
Journal of Computational Physics
On the construction of kinetic schemes
Journal of Computational Physics
A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow
Journal of Computational Physics
On the multidimensional gas-kinetic BGK scheme
Journal of Computational Physics
Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement
Journal of Computational Physics
Multi-scale Simulations of Gas Flows with Unified Flow Solver
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Journal of Computational Physics
A high-order gas-kinetic Navier-Stokes flow solver
Journal of Computational Physics
Journal of Computational Physics
A gas-kinetic BGK scheme for gas-water flow
Computers & Mathematics with Applications
Hi-index | 31.47 |
This paper concerns the extension of the gas-kinetic scheme for the compressible Navier-Stokes equations to the flow calculation with interfaces and mixing. The objective of the current research targets mainly on the accurate capturing of Navier-Stokes diffusive interfaces, where the thickness can be resolved by the cell size. Firstly, a new BGK-NS scheme coupling with the level set type scalar function transport is constructed. Even though the scalar function is directly incorporated into the gas distribution function and it evolves according to the gas-kinetic equation, it likes more or less a color function, which has no direct contribution for the time evolution of conservative flow variables, such as mass, momentum and energy. Due to the coupling of the scalar function into the gas-kinetic formulation, the governing equations for the scalar function turns out to be an advection diffusion equations and the diffusive coefficient can be controlled by the particle collision time, which makes the current scheme suitable for the gas mixing problems with a controllable diffusion coefficients. However, for the non-mixing or sharp interface problems, such as the interface between gas and liquid, the current method can be used as a scheme similar to the level set method, where the interface location can be identified with a fixed level set value, such as @Q=0. The current method is applied to a few examples from the simple square wave propagation and diffusion to the 3D Rayleigh-Taylor instability. The supersonic mixing layer and the shock helium bubble interaction case show clearly the convergence of the current Navier-Stokes solver for the flow problems with mixing of components and interface once the interface thickness can be well resolved by the cell size. In the case of shock hitting SF6 cylinder, the computation predicts the experimental measure very well. In the current scheme, the Schmidt number can be freely chosen according to the physical reality.