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On half-space problems for the linearized discrete Boltzmann equation
Karlstad University, Faculty of Technology and Science, Department of Mathematics. (Kinetisk teori)ORCID iD: 0000-0003-1232-3272
2008 (English)In: Rivista di Matematica della Universita' di Parma, Vol. (7)9, p. 73-124Article in journal (Refereed) Published
Abstract [en]

In this paper we study typical half-space problems of rarefied gas dynamics, including the problems of Milne and Kramer, for the discrete Boltzmann equation. The discrete Boltzmann equation reduces to a system of ODEs for plane stationary problems. These systems are studied, and for general boundary conditions at the "wall" a classification of well-posed half-space problems for the homogeneous, as well as the inhomogeneous, linearized discrete Boltzmann equation is made. Applications for axially symmetric models are studied in more detail. Exact solutions of a (simplified) linearized kinetic model of BGK type are also found as a limiting case of the corresponding discrete models.

Place, publisher, year, edition, pages
Parma: Università di Parma , 2008. Vol. (7)9, p. 73-124
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-22041OAI: oai:DiVA.org:kau-22041DiVA, id: diva2:595717
Funder
Swedish Research Council, 2003-5357
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2017-12-22Bibliographically approved

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Bernhoff, Niclas

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