Zeitschriftenartikel:
G. Kitzler, J. Schöberl:
"A high order space momentum discontinuous Galerkin method for the Boltzmann equation";
Computers and Mathematics with Applications,
70
(2015),
7;
S. 1539
- 1554.
Kurzfassung englisch:
In this paper we present a Discontinuous Galerkin method for the Boltzmann equation. The distribution function image is approximated by a shifted Maxwellian times a polynomial in space and momentum, while the test functions are chosen as polynomials. The first property leads to consistency with the Euler limit, while the second property ensures conservation of mass, momentum and energy. The focus of the paper is on efficient algorithms for the Boltzmann collision operator. We transform between nodal, hierarchical and polar polynomial bases to reduce the inner integral operator to diagonal form.
"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.camwa.2015.06.011
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.