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Zh. Vychisl. Mat. Mat. Fiz., 2010, Volume 50, Number 3, Pages 563–574 (Mi zvmmf4852)  

This article is cited in 8 scientific papers (total in 8 papers)

A higher-order conservative method for computing the Poiseuille flow of a rarefied gas in a channel of arbitrary cross section

V. A. Titareva, E. M. Shakhovb

a Cranfield University, Cranfield, UK, MK43 0AL
b Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

Abstract: A high-order accurate method is proposed for analyzing the isothermal rarefied gas flow in an infinitely long channel with an arbitrarily shaped cross section (Poiseuille flow). The basic idea behind the method is the use of hybrid unstructured meshes in physical space and the application of a conservative technique for computing the gas velocity. Examples of calculations are provided for channels of various cross sections in a wide range of Knudsen numbers. Schemes of the first-, second-, and third orders of accuracy in space are compared.

Key words: rarefied gas, unstructured mesh, Poiseuille flow, Krook kinetic equation, $S$-model, TVD scheme.

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English version:
Computational Mathematics and Mathematical Physics, 2010, 50:3, 537–548

Bibliographic databases:

UDC: 519.634
Received: 01.07.2009
Revised: 07.10.2009

Citation: V. A. Titarev, E. M. Shakhov, “A higher-order conservative method for computing the Poiseuille flow of a rarefied gas in a channel of arbitrary cross section”, Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010), 563–574; Comput. Math. Math. Phys., 50:3 (2010), 537–548

Citation in format AMSBIB
\by V.~A.~Titarev, E.~M.~Shakhov
\paper A higher-order conservative method for computing the Poiseuille flow of a rarefied gas in a channel of arbitrary cross section
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2010
\vol 50
\issue 3
\pages 563--574
\jour Comput. Math. Math. Phys.
\yr 2010
\vol 50
\issue 3
\pages 537--548

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. A. Titarev, E. M. Shakhov, “Kinetic analysis of an isothermal flow in a long microchannel with rectangular cross section”, Comput. Math. Math. Phys., 50:7 (2010), 1221–1237  mathnet  crossref  mathscinet  adsnasa  isi
    2. V. A. Titarev, “Implicit numerical method for computing three-dimensional rarefied gas flows on unstructured meshes”, Comput. Math. Math. Phys., 50:10 (2010), 1719–1733  mathnet  crossref  adsnasa  isi  elib
    3. V. A. Titarev, E. M. Shakhov, “Nonisothermal gas flow in a long channel analyzed on the basis of the kinetic S-Model”, Comput. Math. Math. Phys., 50:12 (2010), 2131–2144  mathnet  crossref  adsnasa
    4. Rykov V.A., Titarev V.A., Shakhov E.M., “Rarefied Poiseuille flow in elliptical and rectangular tubes”, Fluid Dyn., 46:3 (2011), 456–466  crossref  mathscinet  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
    5. V. A. Titarev, E. M. Shakhov, “Efficient method for computing rarefied gas flow in a long finite plane channel”, Comput. Math. Math. Phys., 52:2 (2012), 269–284  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    6. Misdanitis S., Pantazis S., Valougeorgis D., “Pressure driven rarefied gas flow through a slit and an orifice”, Vacuum, 86:11 (2012), 1701–1708  crossref  adsnasa  isi  elib  scopus
    7. Titarev V.A. Shakhov E.M., “Poiseuille flow and thermal creep in a capillary tube on the basis of the kinetic R-model”, Fluid Dyn., 47:5 (2012), 661–672  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
    8. Pantazis S. Valougeorgis D. Sharipov F., “End Corrections for Rarefied Gas Flows Through Capillaries of Finite Length”, Vacuum, 97 (2013), 26–29  crossref  adsnasa  isi  elib  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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