Moving boundary problems in kinetic theory of gases: Spatially one-dimensional problems
Author(s) -
Kazuo Aoki,
Tetsuro Tsuji
Publication year - 2014
Publication title -
séminaire laurent schwartz — edp et applications
Language(s) - English
Resource type - Journals
ISSN - 2266-0607
DOI - 10.5802/slsedp.52
Subject(s) - kinetic theory , boltzmann equation , kinetic energy , space (punctuation) , boundary value problem , simple (philosophy) , boundary (topology) , boltzmann constant , classical mechanics , physics , motion (physics) , basis (linear algebra) , mechanics , statistical physics , mathematics , mathematical analysis , theoretical physics , thermodynamics , computer science , geometry , philosophy , epistemology , operating system
Unsteady flows of a rarefied gas in a full space caused by an oscillatory motion of an infinitely wide plate in its normal direction is investigated numerically on the basis of the Bhatnagar-Gross-Krook (BGK) model of the Boltzmann equation. The present notes aim at showing the properties and difficulties inherent to moving boundary problems in kinetic theory of gases using a simple one-dimensional setting.
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