Moment closure hierarchies for rarefied gases
The paper proposes an approximate closure procedure for hierarchies of macroscopic equations for rarefied gases, derived as moment equations from the Boltzmann equation in kinetic theory of gases. The procedure is based upon application of the maximum entropy principle. If the exact minimiz...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2015-01-01
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| Series: | Theoretical and Applied Mechanics |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5584/2015/1450-55841504261P.pdf |
| Summary: | The paper proposes an approximate closure procedure for hierarchies of
macroscopic equations for rarefied gases, derived as moment equations from
the Boltzmann equation in kinetic theory of gases. The procedure is based
upon application of the maximum entropy principle. If the exact minimizer is
exploited, moments of the distribution function may diverge, unless the
restriction on the structure of the moments is introduced. In this paper, a
perturbative approach is proposed by restricting the set of admissible
functions in the variational problem. This leads to an approximate minimizer,
but the procedure can be applied to an arbitrary choice of the moments. |
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| ISSN: | 1450-5584 2406-0925 |