Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 1947–1959
DOI: https://doi.org/10.33048/semi.2019.16.140 (Mi semr1181) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Computational mathematics

An application of the Chebyshev polynomials for the calculation of a rarefied gas flow in the cylindrical geometry of the channels

O. V. Germidera, V. N. Popov

a Northern (Arctic) Federal University named after M.V. Lomonosov, 4, Severnaya Dvina Emb., Arkhangelsk, 163002, Russia
Full-text PDF (606 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.33048/semi.2019.16.140
Abstract: A rarefied gas flow trough a long circular tube due to pressure and temperature gradients is studied on the basis of the BGK model kinetic equation using a collocation method by the Chebyshev polynomials and rational Chebyshev functions in the whole range of the Knudsen number covering both free molecular regime and hydrodynamic one. The mass flux is calculated as a function of the pressures and temperatures on the tube ends.
Keywords: BGK model kinetic equation, model of diffuse reflection, Chebyshev polynomials.
Funding agency Grant number
Russian Foundation for Basic Research 16-29-15116_офи_м
Received August 30, 2019, published December 23, 2019
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35Q20
Language: Russian
Citation: O. V. Germider, V. N. Popov, “An application of the Chebyshev polynomials for the calculation of a rarefied gas flow in the cylindrical geometry of the channels”, Sib. Èlektron. Mat. Izv., 16 (2019), 1947–1959
Citation in format AMSBIB
\Bibitem{GerPop19}
\by O.~V.~Germider, V.~N.~Popov
\paper An application of the Chebyshev polynomials for the calculation of a rarefied gas flow in the cylindrical geometry of the channels
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1947--1959
\mathnet{http://mi.mathnet.ru/semr1181}
\crossref{https://doi.org/10.33048/semi.2019.16.140}
Linking options:
  • https://www.mathnet.ru/eng/semr1181
  • https://www.mathnet.ru/eng/semr/v16/p1947
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024