Show simple item record

dc.creatorMorris, A. B.en
dc.creatorVarghese, P. L.en
dc.creatorGoldstein, D. B.en
dc.date.accessioned2015-04-16T14:47:46Zen
dc.date.available2015-04-16T14:47:46Zen
dc.date.issued2009-12en
dc.identifier.citationA. B. Morris, P. L. Varghese, and D. B. Goldstein. AIP Conference Proceedings 1084, 458 (Dec., 2008); doi: 10.1063/1.3076521en
dc.identifier.issn0094-243Xen
dc.identifier.issn978-0-7354-0615-5en
dc.identifier.urihttp://hdl.handle.net/2152/29427en
dc.description.abstractWe present a discrete velocity scheme which solves the Boltzmann equation and show numerical results for homogeneous relaxation problems. Although direct simulation of the Boltzmann equation can be efficient for transient problems, computational costs have restricted its use. A velocity interpolation algorithm enables us to select post-collision velocity pairs not restricted to those that lie precisely on the grid. This allows efficient evaluation of the replenishing part of the collision integral with reasonable accuracy. In previous work [1] the scheme was demonstrated with the depleting terms evaluated exactly, which made the method of O(N(2)) where N is the number of grid points in the velocity space. In order to reduce the computational cost, we have developed an acceptance-rejection scheme to enable more efficient evaluation of the depleting term. We show that the total collision integral can be evaluated accurately in combination with the mapping scheme for the replenishing term. To improve our scheme, we study the error and computational time associated with the number of depleting and replenishing points. We predict the correct relaxation rate for the Bobylev-Krook-Wu distribution and obtain exact conservation of mass, momentum, and energy. Comparisons between computed and reference solutions are shown as well, demonstrating the correct relaxation rate and dependence of error on parameters in the computational scheme.en
dc.language.isoEnglishen
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.subjectcollision integralen
dc.subjectdiscrete velocity schemeen
dc.subjectmonteen
dc.subjectcarlo methoden
dc.subjectengineering, aerospaceen
dc.subjectphysics, fluids & plasmasen
dc.titleImprovement Of A Discrete Velocity Boltzmann Equation Solver With Arbitrary Post-Collision Velocitiesen
dc.typeArticleen
dc.description.departmentAerospace Engineeringen
dc.identifier.doi10.1063/1.3076521en
dc.contributor.utaustinauthorMorris, A. B.en
dc.contributor.utaustinauthorVarghese, P. L.en
dc.contributor.utaustinauthorGoldstein, D. B.en
dc.relation.ispartofserialRarefied Gas Dynamicsen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record