Please use this identifier to cite or link to this item: doi:10.22028/D291-26213
Title: Numerical solution of the Boltzmann equation on the uniform grid
Author(s): Ibragimov, Ilgis
Rjasanow, Sergej
Language: English
Year of Publication: 2002
Free key words: deterministic numerical method
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: In the present paper a new numerical method for the Boltzmann equation is developed. The gain part of the collision integral is written in a form which allows its numerical computation on the uniform grid to be carried out efficiently. The amount of numerical work is shown to be of the order O(n^{6}\log(n)) for the most general model of interaction and of the order O(n^{6}) for the Variable Hard Spheres (VHS) interaction model, while the formal accuracy is of the order O(n^{-2}). Here n denotes the number of discretisation points in one direction of the velocity space. Some numerical examples for Maxwell pseudomolecules and for the hard spheres model illustrate the accuracy and the efficiency of the method in comparision with DSMC computations.
Link to this record: urn:nbn:de:bsz:291-scidok-43889
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 63
Date of registration: 2-Dec-2011
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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