Kinetic algorithms for calculating gas dynamic flows
USSR Computational Mathematics and Mathematical Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
On Godunov-type methods near low densities
Journal of Computational Physics
How to preserve the mass fractions positivity when computing compressible multi-component flows
Journal of Computational Physics
Second-order Boltzmann schemes for compressible Euler equations in one and two space dimensions
SIAM Journal on Numerical Analysis
Computing interface motion in compressible gas dynamics
Journal of Computational Physics
Numerical hydrodynamics from gas-kinetic theory
Journal of Computational Physics
Numerical Navier-Stokes solutions from gas kinetic theory
Journal of Computational Physics
Multicomponent flow calculations by a consistent primitive algorithm
Journal of Computational Physics
Numerical simulation of the MHD equations by a kinetic-type method
Journal of Scientific Computing
Journal of Computational Physics
SIAM Journal on Scientific Computing
Improved shock-capturing methods for multicomponent and reacting flows
Journal of Computational Physics
Correction of conservative Euler solvers for gas mixtures
Journal of Computational Physics
Kinetic flux-vector splitting for the Navier-Stokes equations
Journal of Computational Physics
Wave propagation algorithms for multidimensional hyperbolic systems
Journal of Computational Physics
BGK-based scheme for multicomponent flow calculations
Journal of Computational Physics
An efficient shock-capturing algorithm for compressible multicomponent problems
Journal of Computational Physics
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
A PDE-based fast local level set method
Journal of Computational Physics
Journal of Computational Physics
A Simple Method for Compressible Multifluid Flows
SIAM Journal on Scientific Computing
A gas-kinetic scheme for multimaterial flows and its application in chemical reactions
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
Journal of Computational Physics
Journal of Computational Physics
Discontinuous Galerkin BGK Method for Viscous Flow Equations: One-Dimensional Systems
SIAM Journal on Scientific Computing
Anti-diffusion interface sharpening technique for two-phase compressible flow simulations
Journal of Computational Physics
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We present a second-order @c-model BGK scheme for compressible multimaterial flows, which extends the authors' earlier work on a first-order scheme [S. Jiang, G. Ni, A @c-model BGK scheme for compressible multifluids, Internat. J. Numer. Methods Fluids 46 (2004) 163-182]. The scheme is based on the incorporation of a conservative @c-model scheme given in [R. Abgrall, How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach, J. Comput. Phys. 125 (1996) 150-160] into the gas kinetic BGK scheme [K.H. Prendergast, K. Xu, Numerical hydrodynamics from gas-kinetic theory, J. Comput. Phys. 109 (1993) 53-66; K. Xu, K.H. Prendergast, Numerical Navier-Stokes solutions from gas kinetic theory, J. Comput. Phys. 114 (1994) 9-17]. Several numerical examples presented in this paper validate the scheme in numerical simulations of compressible multifluids.