Simulation of hypersonic flows using a particle-based ellipsoidal statistical Bhatnagar-Gross-Krook method

Ozgur Tumuklu, Zheng Li, Deborah A. Levin

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


To reduce the computational costs related to direct simulation Monte Carlo (DSMC) computations for low Knudsen number flows, a new par-ticle method, based on the ES-BGK model of the Boltzmann equation, is investigated. In this method, a fraction of the computational particles in a cell is selected for velocity reassignment from the local Max wellian distribution based the local collision frequency and an even smaller fractionis selected for internal mode energy reassignment based the rotational and vibrational relaxation rates. A scaling algorithm is used to decrease there quired number of particles per cell and to guarantee that the energy and momentum are conserved in each time step. The accuracy and efficiency of the ES-BGK method are tested in three different test cases and the results are compared to the DSMC solution and experiment as well. The ES-BGK approach is found to provide good agreement with DSMC solutions how-ever a factor of two speed up compared to DSMC is only achieved when the collisions frequency is sufficiently high.

Original languageEnglish (US)
Title of host publication54th AIAA Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624103933
StatePublished - 2016
Event54th AIAA Aerospace Sciences Meeting, 2016 - San Diego, United States
Duration: Jan 4 2016Jan 8 2016

Publication series

Name54th AIAA Aerospace Sciences Meeting


Other54th AIAA Aerospace Sciences Meeting, 2016
CountryUnited States
CitySan Diego

ASJC Scopus subject areas

  • Aerospace Engineering

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