The Efficiency of Inelastic Collision Models with the Variable Sphere Molecular Model in the Direct Simulation Monte Carlo Method

Abstract

The variable sphere (VS) molecular model for the inverse power law (IPL) potential is combined with the statistical inelastic cross section (SICS) and Borgnakke-Larsen (BL) models and the transport coefficients are estimated using the Monte Carlo integration technique for Wang-Chang-Uhlenbeck (WCU) theory. The VS model with SICS (VS-SICS) and BL (VS-BL) models are applied to the simulation of the normal shock wave structure in a nitrogen gas using the direct simulation Monte Carlo (DSMC) method, and then compared with the results of VSS model combined with the SICS model (VSS-SICS) and BL model (VSS-BL). Structures of number density, rotational temperature profiles, and rotational energy distribution in the VS-SICS and VS-BL models shock wave agree well with those of the VSS-SICS and VSS-BL models. The VS model demonstrated applicability to the inelastic molecular collision model.