A Fast Conservative Spectral Solver For The Nonlinear Boltzmann Collision Operator

dc.contributor.utaustinauthorGamba, Irene M.en
dc.contributor.utaustinauthorHaack, Jeffrey R.en
dc.creatorGamba, I. M.en
dc.creatorHaack, J. R.en
dc.creatorHu, J. W.en
dc.date.accessioned2015-04-16T13:57:59Zen
dc.date.available2015-04-16T13:57:59Zen
dc.date.issued2014-07en
dc.description.abstractWe present a conservative spectral method for the fully nonlinear Boltzmann collision operator based on the weighted convolution structure in Fourier space developed by Gamba and Tharkabhushnanam.. This method can simulate a broad class of collisions, including both elastic and inelastic collisions as well as angularly dependent cross sections in which grazing collisions play a major role. The extension presented in this paper consists of factorizing the convolution weight on quadrature points by exploiting the symmetric nature of the particle interaction law, which reduces the computational cost and memory requirements of the method to O(M(2)N(4)logN) from the O(N-6) complexity of the original spectral method, where N is the number of velocity grid points in each velocity dimension and M is the number of quadrature points in the factorization, which can be taken to be much smaller than N. We present preliminary numerical results.en
dc.description.departmentMathematicsen
dc.identifier.citationIrene M. Gamba, Jeffrey R. Haack and Jingwei Hu. AIP Conference Proceedings 1628, 1003 (Jul., 2014); doi: 10.1063/1.4902703en
dc.identifier.doi10.1063/1.4902703en
dc.identifier.issn0094-243Xen
dc.identifier.urihttp://hdl.handle.net/2152/29346en
dc.language.isoEnglishen
dc.relation.ispartofserialProceedings of the 29th International Symposium on Rarefied Gas Dynamicsen_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.subjectspectral methoden
dc.subjectboltzmann equationen
dc.subjectnumerical-solutionen
dc.subjectequationen
dc.subjectphysics, applieden
dc.titleA Fast Conservative Spectral Solver For The Nonlinear Boltzmann Collision Operatoren
dc.typeConference proceedingsen
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