A review on BGK models for gas mixtures of mono and polyatomic molecules
Please always quote using this URN: urn:nbn:de:bvb:20-opus-250161
- We consider the Bathnagar–Gross–Krook (BGK) model, an approximation of the Boltzmann equation, describing the time evolution of a single momoatomic rarefied gas and satisfying the same two main properties (conservation properties and entropy inequality). However, in practical applications, one often has to deal with two additional physical issues. First, a gas often does not consist of only one species, but it consists of a mixture of different species. Second, the particles can store energy not only in translational degrees of freedom but alsoWe consider the Bathnagar–Gross–Krook (BGK) model, an approximation of the Boltzmann equation, describing the time evolution of a single momoatomic rarefied gas and satisfying the same two main properties (conservation properties and entropy inequality). However, in practical applications, one often has to deal with two additional physical issues. First, a gas often does not consist of only one species, but it consists of a mixture of different species. Second, the particles can store energy not only in translational degrees of freedom but also in internal degrees of freedom such as rotations or vibrations (polyatomic molecules). Therefore, here, we will present recent BGK models for gas mixtures for mono- and polyatomic particles and the existing mathematical theory for these models.…
Author: | Marlies Pirner |
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URN: | urn:nbn:de:bvb:20-opus-250161 |
Document Type: | Journal article |
Faculties: | Fakultät für Mathematik und Informatik / Institut für Mathematik |
Language: | English |
Parent Title (English): | Fluids |
ISSN: | 2311-5521 |
Year of Completion: | 2021 |
Volume: | 6 |
Issue: | 11 |
Article Number: | 393 |
Source: | Fluids (2021) 6:11, 393. https://doi.org/10.3390/fluids6110393 |
DOI: | https://doi.org/10.3390/fluids6110393 |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Tag: | BGK approximation; degrees of freedom in internal energy; existence of solutions; kinetic model; large-time behaviour; multi-fluid mixture |
Release Date: | 2022/12/08 |
Date of first Publication: | 2021/11/01 |
Licence (German): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |