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Kinetic Methods for Solving Unsteady Problems with Jet Flows
Author(s) -
A. A. Frolova,
В. А. Титарев
Publication year - 2019
Publication title -
mathematics and mathematical modeling
Language(s) - English
Resource type - Journals
ISSN - 2412-5911
DOI - 10.24108/mathm.0419.0000192
Subject(s) - boltzmann equation , rarefaction (ecology) , mechanics , jet (fluid) , boltzmann constant , flow (mathematics) , statistical physics , kinetic energy , grid , kinetic theory , physics , classical mechanics , knudsen number , ellipsoid , mathematics , theoretical physics , geology , thermodynamics , geometry , paleontology , species richness , astronomy
The article presents a comparison of numerical solutions obtained by the model equations (S-model and ES-model) and the complete Boltzmann equation for the unsteady problem of gas flow in a lowpressure tank after reflection from the wall. The weak influence of the collision operator on the solution in the rarefied domain and the need to use a detailed velocity grid due to the presence of the "ray effect" are shown on the basis of numerical analysis of auxiliary problems. To reduce computational costs, a hybrid method based on the synthesis of the model and Boltzmann equations is proposed.

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