A Novel Discrete Velocity Method For Solving The Boltzmann Equation Including Internal Energy And Non-Uniform Grids In Velocity Space

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dc.contributor.utaustinauthorClarke, P.en
dc.contributor.utaustinauthorVarghese, P.en
dc.contributor.utaustinauthorGoldstein, Den
dc.contributor.utaustinauthorMorris, A.en
dc.contributor.utaustinauthorBauman, P.en
dc.contributor.utaustinauthorHergermiller, D.en
dc.creatorClarke, P.en
dc.creatorVarghese, P.en
dc.creatorGoldstein, D.en
dc.creatorMorris, A.en
dc.creatorBauman, P.en
dc.creatorHegermiller, D.en
dc.date.accessioned2015-04-16T13:58:06Zen
dc.date.available2015-04-16T13:58:06Zen
dc.date.issued2012en
dc.description.abstractThe 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.en
dc.description.departmentAerospace Engineeringen
dc.identifier.citationP. Clarke, P. Varghese, D. Goldstein, A. Morris, P. Bauman, and D. Hegermiller. AIP Conference Proceedings 1501, 373 (2012); doi: 10.1063/1.4769545en
dc.identifier.doi10.1063/1.4769545en
dc.identifier.issn0094-243Xen
dc.identifier.urihttp://hdl.handle.net/2152/29352en
dc.language.isoEnglishen
dc.relation.ispartofserial28th International Symposium on Rarefied Gas Dynamics 2012, Vols. 1 and 2en_US
dc.rightsAdministrative deposit of works to UT Digital Repository: This works author(s) is or was a University faculty member, student or staff member; this article is already available through open access or the publisher allows a PDF version of the article to be freely posted online. The library makes the deposit as a matter of fair use (for scholarly, educational, and research purposes), and to preserve the work and further secure public access to the works of the University.en
dc.subjectboltzmann equationen
dc.subjectdiscrete velocity methoden
dc.subjectlarsen-borgnakkeen
dc.subjectnon-equilibrium gas flowsen
dc.subjectnon-uniform gridsen
dc.subjectengineering, aerospaceen
dc.subjectastronomy & astrophysicsen
dc.titleA Novel Discrete Velocity Method For Solving The Boltzmann Equation Including Internal Energy And Non-Uniform Grids In Velocity Spaceen
dc.typeConference proceedingsen

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