Abstract
The direct simulation Monte Carlo (DSMC) method has been developed for a numerical method in a rarefied gas flow, and now has been expanding its feasibility to continuum flow, that is, applicable to whole flow region of aerospace. Although Meiburg has pointed out that it is difficult for the DSMC method to deal with flows including vortices since a collision pair of molecules is selected in a cell in disregard of their locations, the DSMC method using the new collision scheme (U-system) has been verified to be effective for flows with periodic vortex shedding at the 24th international symposium on rarefied gas dynamics by Usami and Mizuguchi (Physics of Fluids, Vol. 29, No. 10 (1986), pp. 3107-3113, AIP Conference Proceedings, Vol. 762 (2005), pp. 686-691). One problem to resolve associated with U-system was such that the momentum and the energy accompanied with a collision pair were not conserved simultaneously during U-system collision process. Sun et al. have found that the correction scheme evolved by Pareschi and Trazzi for momentum and energy is useful for the conservation process in the U-system (AIP Conference Proceedings, Vol. 1084 (2009), pp. 311-316, Int. J. Numerical Methods in Fluids, Vol. 48, No. 9 (2005), pp. 947-983). The purpose of this study is to confirm the efficacy of the U-system with Pareschi's correction by use of an analysis of one-dimensional normal shock wave that includes extreme non-equilibrium over the whole region of the wave. Because of one-dimensional problem, stringent comparisons of the course cell results obtained by the U-system and the fine cell results by the conventional collision scheme can be carried out easily.
