Development of the ellipsoidal statistical bhatnagar-Gross-krook method for hypersonic flows

Varun N. Patil, Ozgur Tumuklu, Zheng Li, Deborah A. Levin

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


To avoid the high computational costs related to the DSMC method for low Knudsen number flows, a new particle method, based on the solution to the ES-BGK model of the Boltzmann equation, is investigated. In this method, a fraction of the particles in a cell is selected for velocity reassign-ment from the local Maxwellian distribution based the collision frequency and an even smaller fraction is selected for rotational energy reassignment based the rotational relaxation rate. Zero-dimensional simulation results show that the method can model well the rotational relaxation. When simulating the argon flow over a cone with a weak shock, it is found that a minimum of forty selected particles for transitional velocity reassignment are required to achieve energy con-servation and then good agreement with flow properties simulated with DSMC. However, same number of simulated particles per cell for the case with nitrogen flow is not sufficient to model the rotational relaxation rate and results show relatively good agreement for transitional temperature but poor agreement for rotational temperature.

Original languageEnglish (US)
Title of host publication52nd Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Electronic)9781624102561
StatePublished - 2014
Externally publishedYes
Event52nd Aerospace Sciences Meeting 2014 - National Harbor, United States
Duration: Jan 13 2014Jan 17 2014

Publication series

Name52nd Aerospace Sciences Meeting


Other52nd Aerospace Sciences Meeting 2014
Country/TerritoryUnited States
CityNational Harbor

ASJC Scopus subject areas

  • Aerospace Engineering


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