Comparison of kinetic and continuum approaches for simulation of shock wave/boundary layer interaction

The present paper, which is a collaboration between three different research groups, analyzes the efficiency of various numerical approaches to describe the complex problem of shock wave/boundary layer interaction. Computations were carried out based on a kinetic approach (Direct Simulation Monte Carlo method) and on two continuum approaches (Navier-Stokes equations and quasigasdynamic equations), which are validated by comparison with experimental results obtained in the R5Ch blowdown Hypersonic Wind Tunnel in ONERA. The influence of the slip boundary conditions for two continuum approaches are also studied. The results obtained by all models display the good prediction of the main structure of the flow and the levels of the flux coefficients are very close to those measured. The implementation of the slip boundary condition for the continuum approaches improves the agreement with the experimental data. Received 12 July 2001 / Accepted 24 May 2002 /Published online 4 December 2002 Correspondence to: D. Zeitoun (e-mail: David.Zeitoun@polytech.univ-mrs.fr) An abridged version of this paper was presented at the 23rd Int. Symposium on Shock Waves at Fort Worth, Texas, from July 22 to 27, 2001