Consistent implementation of state-to-state collision models for direct simulation Monte Carlo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

A general framework for implementing state-to-state collision models in the DSMC method is presented. In developing a state-to-state DSMC collision model, one key as- pect is to propose effcient algorithms to correctly simulate the state-to-state collision cross-sections, hence the state-to-state collision (or transition) rates. This includes the calculation of the total collision rate, the selection of potential collision pairs, and the pro- cedure to perform actual state-to-state collisions in the DSMC method. To achieve these tasks in a computationally effcient manner, we proposed the detailed implementation of a general rovibrational state-to-state collision model for the DSMC method. The proposed model implementation successfully achieved microscopic reversibility, detailed balance, and equipartition of energy under equilibrium conditions. This was first demonstrated using qualitatively-constructed state-to-state cross-sections. With the algorithms verified, we further developed a vibrational state-to-state DSMC collision model using the transition probabilities of the forced harmonic oscillator (FHO) model, where the transition prob- abilities are modified to satisfy microscopic reversibility, and a power law temperature dependent viscosity is imposed. Furthermore, DSMC simulation results of isothermal vi- bration relaxation using the modified FHO cross-sections are compared with master equa- tion simulation results, where the transition rates in the master equation are obtained from integrating the state-to-state cross-sections used in the DSMC simulation. Overall, excel- lent agreement is observed for both the vibrational temperature relaxation history and the time dependent vibrational energy distribution functions, between DSMC and master equation simulations.

Original languageEnglish (US)
Title of host publication52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Electronic)9781624102561
ISBN (Print)9781624102561
StatePublished - 2014
Event52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014 - National Harbor, MD, United States
Duration: Jan 13 2014Jan 17 2014

Publication series

Name52nd Aerospace Sciences Meeting

Other

Other52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014
CountryUnited States
CityNational Harbor, MD
Period1/13/141/17/14

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    Zhang, C., & Schwartzentruber, T. E. (2014). Consistent implementation of state-to-state collision models for direct simulation Monte Carlo. In 52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014 (52nd Aerospace Sciences Meeting). American Institute of Aeronautics and Astronautics Inc..