The linearized Bhatnagar–Gross–Krook equation is widely used to describe low-speed
rarefied gas flows and can be solved numerically using deterministic methods such as the …

An efficient improved discrete velocity method (IDVM) with inner iteration is presented to
simulate the steady flows in all flow regimes in this work. It is an extension of our previous …

In this paper, we present a novel kinetic scheme termed the Energy Conserving Semi-
Lagrangian (ECSL) for the Vlasov-Ampère system. The novelty of the ECSL is that it retains …

In this paper, we present an improved gas-kinetic unified algorithm (IGKUA) for high rarefied
transition to continuum flows by computable modeling of Boltzmann equation. Compared …

In this paper, a conservative semi-Lagrangian (CSL) kinetic scheme coupled with an implicit
finite element method (IFEM) is developed for multidimensional electromagnetic plasma …

In this paper, the immersed finite element (IFE) coupled with the conservative semi-
Lagrangian (CSL) kinetic scheme is developed for plasma-material interactions. The …

A multi-degree-of-freedom (MDOF) kinetic model is developed to simulate three-
dimensional nonequilibrium flows. By modifying collision term of Boltzmann model equation …

In this paper, we propose an algorithm that imposes macroscopic physical constraints with
Lagrange multiplier approach in implementing the Maxwell boundary condition within the …

In this paper, we develop a novel fast iterative moment method for the steady-state
simulation of near-continuum flows, which are modeled by the high-order moment system …

We study efficient simulation of steady state for rarefied gas flow, which is modeled by the
Boltzmann equation with BGK-type collision term. A nonlinear multigrid solver is proposed to …