The discrete velocity method has been extended to include inelastic collisions with rotational-translational energy exchange. A single value of rotational energy per unit mass is assigned to every velocity in the velocity domain and inelastic collisions are modeled using the Larsen-Borgnakke method. The discrete velocity version of energy exchange is used to simulate both a homogeneous relaxation of a distribution with non-equilibrium rotational and translational temperatures and a 1D shock with rotational energy modes. The method has also been modified to allow for non-uniform grids in velocity space. Non-uniform grids permit computational effort to be focused on specific areas of interest within the velocity distribution function. The Bobylev-Krook-Wu solution to the Boltzmann equation (the only analytic solution known) is used to compare a non-uniform grid with a uniform grid.
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27 November 2012
28TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS 2012
9–13 July 2012
Zaragoza, Spain
Research Article|
November 27 2012
A novel discrete velocity method for solving the Boltzmann equation including internal energy and non-uniform grids in velocity space Available to Purchase
P. Clarke;
P. Clarke
ASE-EM Department, The University of Texas at Austin, 210 E 24th St, Stop C0600, Austin, TX 78712,
USA
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P. Varghese;
P. Varghese
ASE-EM Department, The University of Texas at Austin, 210 E 24th St, Stop C0600, Austin, TX 78712,
USA
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D. Goldstein;
D. Goldstein
ASE-EM Department, The University of Texas at Austin, 210 E 24th St, Stop C0600, Austin, TX 78712,
USA
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A. Morris;
A. Morris
ASE-EM Department, The University of Texas at Austin, 210 E 24th St, Stop C0600, Austin, TX 78712,
USA
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P. Bauman;
P. Bauman
ICES, The University of Texas at Austin, 201 E 24th St, Stop C0200, Austin, TX 78712,
USA
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D. Hegermiller
D. Hegermiller
ASE-EM Department, The University of Texas at Austin, 210 E 24th St, Stop C0600, Austin, TX 78712,
USA
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P. Clarke
ASE-EM Department, The University of Texas at Austin, 210 E 24th St, Stop C0600, Austin, TX 78712,
USA
P. Varghese
ASE-EM Department, The University of Texas at Austin, 210 E 24th St, Stop C0600, Austin, TX 78712,
USA
D. Goldstein
ASE-EM Department, The University of Texas at Austin, 210 E 24th St, Stop C0600, Austin, TX 78712,
USA
A. Morris
ASE-EM Department, The University of Texas at Austin, 210 E 24th St, Stop C0600, Austin, TX 78712,
USA
P. Bauman
ICES, The University of Texas at Austin, 201 E 24th St, Stop C0200, Austin, TX 78712,
USA
D. Hegermiller
ASE-EM Department, The University of Texas at Austin, 210 E 24th St, Stop C0600, Austin, TX 78712,
USA
AIP Conf. Proc. 1501, 373–380 (2012)
Citation
P. Clarke, P. Varghese, D. Goldstein, A. Morris, P. Bauman, D. Hegermiller; A novel discrete velocity method for solving the Boltzmann equation including internal energy and non-uniform grids in velocity space. AIP Conf. Proc. 27 November 2012; 1501 (1): 373–380. https://doi.org/10.1063/1.4769545
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