Numerical Simulation of Gas Microflows by Solving Relaxation-Type Kinetic Equations

In this paper we present a numerical method for simulation of gas flows at micro- and nanoscales based on solving of relaxation-type kinetic equations with the the discrete ordinate method and a high-order shock-capturing scheme. The method is used for simulation of such classical problems as the shock-wave structure and the supersonic flow over a flat plate as well as for investigtion of shock wave propagation in a microchannel. The results obtained are compared with Navier-Stokes and DSMC solutions and experimental data.