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In this paper, a unified gas kinetic scheme with adaptive velocity space (AUGKS) for multiscale flow transport will be developed… Expand We develop new numerical schemes for Vlasov–Poisson equations with high-order accuracy. Our methods are based on a spatially… Expand This paper is a continuation of our work on the development of multiscale numerical scheme from low-speed isothermal flow to… Expand The computation of compressibleflows becomes more challenging when the Mach number has different orders of magnitude. When the… Expand We propose an asymptotic preserving (AP), all Mach number, Godunov-type finite volume scheme for the numerical solution of the… Expand Standard hyperbolic solvers for the compressible Euler equations cause increasing
approximation errors and have severe stability… Expand We present a class of asymptotic-preserving (AP) schemes for the nonhomogeneous Fokker-Planck-Landau (nFPL) equation. Filbet and… Expand Kinetic and hyperbolic equations contain small scales (mean free path/time, Debye length, relaxation or reaction time, etc.) that… Expand This paper deals with the development of accurate one-step schemes for the numerical simulation of unsteady compressible flows… Expand Kinetic equations have scalings, characterized by the mean free path, that lead to various different limiting behaviors, such as… Expand