Multi-Group maximum entropy model for translational Non-Equilibrium

Vegnesh Jayaraman, Yen Liu, Marco Panesi

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

Abstract

The aim of the current work is to describe a new model for flows in translational non-equilibrium. Starting from the statistical description of gas proposed by Boltzmann, the model relies on a domain decomposition technique in the velocity space. Using the maximum entropy principle, the logarithm of the distribution function in each velocity subdomain (group) is expressed with a power series in molecular velocity. New governing equations are obtained using method of weighted residuals by taking the velocity moments of the Boltzmann's Equations. The model is applied to a spatially homogeneous Boltzmann Equation with a Bhatnagar-Gross-Krook1(BGK) model collision operator and the relaxation of the initial non-equilibrium distribution to a Maxwellian is studied using the model. In addition, the numerical results obtained using the model for a 1D shock tube problem are also reported.

Original languageEnglish (US)
Title of host publication47th AIAA Thermophysics Conference, 2017
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624104992
StatePublished - Jan 1 2017
Event47th AIAA Thermophysics Conference, 2017 - Denver, United States
Duration: Jun 5 2017Jun 9 2017

Publication series

Name47th AIAA Thermophysics Conference, 2017

Other

Other47th AIAA Thermophysics Conference, 2017
CountryUnited States
CityDenver
Period6/5/176/9/17

ASJC Scopus subject areas

  • Mechanical Engineering
  • Aerospace Engineering

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