A Comparative Study of Navier-Stokes, Burnett, DSMC, and Boltzmann Solutions for Hypersonic Flow Past 2-D Bodies

摘要

The results of 2-D numerical simulations of hypersonic flow past 2-D blunt bodies at low to high Knudsen Numbers are presented. Several computational models are employed, namely the Navier-Stokes equations, Burnett equations, Direct Simulation Monte Carlo (DSMC), and the Boltzmann equation. The effect of Knudsen number Kn varying from 0.01 to 0.1 is investigated for Mach 3 and Mach 10 flows past a blunt body. It is found that all the solutions (Navier-Stokes, Burnett, DSMC, and Boltzmann) at Kn = 0.1 are in close agreement with each other. However, at Kn = 0.01, there is a large difference between the solutions based on Navier-Stokes and Burnett equations with those based on the DSMC and Boltzmann solver; however the N.S. and Burnett solutions agree with each other and the DSMC and Boltzmann solutions are in close agreement.