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Discrete Velocity Models for Polyatomic Molecules Without Nonphysical Collision Invariants
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0003-1232-3272
2018 (English)In: Journal of statistical physics, ISSN 0022-4715, E-ISSN 1572-9613, Vol. 172, no 3, p. 742-761Article in journal (Refereed) Published
Abstract [en]

An important aspect of constructing discrete velocity models (DVMs) for the Boltzmann equation is to obtain the right number of collision invariants. Unlike for the Boltzmann equation, for DVMs there can appear extra collision invariants, so called spurious collision invariants, in plus to the physical ones. A DVM with only physical collision invariants, and hence, without spurious ones, is called normal. The construction of such normal DVMs has been studied a lot in the literature for single species, but also for binary mixtures and recently extensively for multicomponent mixtures. In this paper, we address ways of constructing normal DVMs for polyatomic molecules (here represented by that each molecule has an internal energy, to account for non-translational energies, which can change during collisions), under the assumption that the set of allowed internal energies are finite. We present general algorithms for constructing such models, but we also give concrete examples of such constructions. This approach can also be combined with similar constructions of multicomponent mixtures to obtain multicomponent mixtures with polyatomic molecules, which is also briefly outlined. Then also, chemical reactions can be added.

Place, publisher, year, edition, pages
Springer Publishing Company, 2018. Vol. 172, no 3, p. 742-761
Keywords [en]
Boltzmann equation, Discrete velocity models, Collision invariants, Polyatomic molecules
National Category
Computational Mathematics Probability Theory and Statistics Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-68641DOI: 10.1007/s10955-018-2063-4OAI: oai:DiVA.org:kau-68641DiVA, id: diva2:1236210
Available from: 2018-08-01 Created: 2018-08-01 Last updated: 2018-08-01

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Publisher's full texthttps://link.springer.com/article/10.1007/s10955-018-2063-4

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CiteExportLink to record
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  • apa
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  • ieee
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