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

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

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

Abstract

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 reassignment 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 conservation 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 AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781624102561
StatePublished - 2014
Externally publishedYes
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

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

Fingerprint

hypersonic flow
Hypersonic flow
Boltzmann equation
BGK model
Maxwell-Boltzmann density function
Knudsen flow
Cones
Argon
Energy conservation
energy conservation
argon
cells
Nitrogen
Temperature
cones
collision
temperature
shock
costs
nitrogen

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering

Cite this

Patil, V. N., Tumuklu, O., Li, Z., & Levin Fliflet, D. (2014). Development of the ellipsoidal statistical bhatnagar-gross-krook method for hypersonic flows. In 52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014 American Institute of Aeronautics and Astronautics Inc..

Development of the ellipsoidal statistical bhatnagar-gross-krook method for hypersonic flows. / Patil, Varun N.; Tumuklu, Ozgur; Li, Zheng; Levin Fliflet, Deborah.

52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014. American Institute of Aeronautics and Astronautics Inc., 2014.

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

Patil, VN, Tumuklu, O, Li, Z & Levin Fliflet, D 2014, Development of the ellipsoidal statistical bhatnagar-gross-krook method for hypersonic flows. in 52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014. American Institute of Aeronautics and Astronautics Inc., 52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014, National Harbor, MD, United States, 1/13/14.
Patil VN, Tumuklu O, Li Z, Levin Fliflet D. Development of the ellipsoidal statistical bhatnagar-gross-krook method for hypersonic flows. In 52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014. American Institute of Aeronautics and Astronautics Inc. 2014
Patil, Varun N. ; Tumuklu, Ozgur ; Li, Zheng ; Levin Fliflet, Deborah. / Development of the ellipsoidal statistical bhatnagar-gross-krook method for hypersonic flows. 52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014. American Institute of Aeronautics and Astronautics Inc., 2014.
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