Numerical Simulation of Two-Dimensional Supersonic Flows Using the Free-Molecular-Type Kinetic Scheme

Abstract

The free-molecular-type kinetic scheme is a new lattice Boltzmann model which can simulate supersonic flows described by the compressible Euler and Navier-Stokes equations. We simulate two-dimensional supersonic flows over a wedge and a circular cylinder using this scheme. Numerical results agree well with the corresponding theories and experiments and show that this scheme can capture shock waves sharply without using any spatial fitting method.