A comparative study of Navier-Stokes, Burnett, DSMC, and Boltzmann solutions for hypersonic flow past 2-D bodies

R. Chen, R. K. Agarwal, F. G. Cheremisin, Y. Bondar

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

The results of 2-D numerical simulations of hypersonic flow past 2-D blunt bodies at low to high Knudsen Numbers are presented. Several computational models are employed, namely the Navier-Stokes equations, Burnett equations, Direct Simulation Monte Carlo (DSMC), and the Boltzmann equation. The effect of Knudsen number Kn varying from 0.01 to 0.1 is investigated for Mach 3 and Mach 10 flows past a blunt body. It is found that all the solutions (Navier-Stokes, Burnett, DSMC, and Boltzmann) at Kn = 0.1 are in close agreement with each other. However, at Kn = 0.01, there is a large difference between the solutions based on Navier-Stokes and Burnett equations with those based on the DSMC and Boltzmann solver; however the N.S. and Burnett solutions agree with each other and the DSMC and Boltzmann solutions are in close agreement.

Original languageEnglish
Title of host publicationCollection of Technical Papers - 45th AIAA Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
Pages2370-2385
Number of pages16
ISBN (Print)1563478900, 9781563478901
DOIs
StatePublished - 2007
Event45th AIAA Aerospace Sciences Meeting 2007 - Reno, NV, United States
Duration: Jan 8 2007Jan 11 2007

Publication series

NameCollection of Technical Papers - 45th AIAA Aerospace Sciences Meeting
Volume4

Conference

Conference45th AIAA Aerospace Sciences Meeting 2007
Country/TerritoryUnited States
CityReno, NV
Period01/8/0701/11/07

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