The microbial fuel cell (MFC) sensor is a very promising self-powered self-sustainable
system for early warning water quality detection. These sensors are cost-effective …

This article reviews rarefied gas flow computations based on nonlinear model Boltzmann
equations using deterministic high-order gas-kinetic unified algorithms (GKUA) in phase …

With discretized particle velocity space, a multiscale unified gas-kinetic scheme for entire
Knudsen number flows is constructed based on the BGK model. The current scheme …

In this survey we consider the development and mathematical analysis of numerical
methods for kinetic partial differential equations. Kinetic equations represent a way of …

A three-dimensional mixed modal discontinuous Galerkin (DG) method based on tetrahedral
meshes was developed for simulating all flow regimes from subsonic to hypersonic rarefied …

There is great difficulty for direct Boltzmann solvers to simulate high Knudsen number flow
due to the severe steep slope and high concentration of the gas distribution function in a …

With discretized particle velocity space, a multi-scale unified gas-kinetic scheme for entire
Knudsen number flows has been constructed based on the kinetic model in one …

The unified gas-kinetic scheme (UGKS) provides a framework for simulating multiscale
transport with the updates of both gas distribution function and macroscopic flow variables …

The gas-kinetic numerical algorithm solving the Boltzmann model equation is extended and
developed to study the three-dimensional hypersonic flows of spacecraft re-entry into the …

One of the central problems in the study of rarefied gas dynamics is to find the steady-state
solution of the Boltzmann equation quickly. When the Knudsen number is large, ie the …