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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 7, Pages 1304–1320 (Mi zvmmf632)  
This article is cited in 5 scientific papers (total in 5 papers)

Calculation of the flow of rarefied gas around a circular cylinder at low Knudsen numbers

I. N. Larina, V. A. Rykov

Dorodnicyn Computing Center Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Full-text PDF (2398 kB) Citations (5)
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Abstract: A symmetric second-order accurate splitting numerical method for the Boltzmann equation is proposed that is oriented to the examination of gas flow at low Knudsen numbers. The collision integral is linearized about a locally Maxwellian distribution function. Examples of the calculation of two-dimensional nonstationary flows around a circular cylinder are considered. An external macroscopic region is introduced that makes it possible to reduce the region in which the kinetic equation is solved. As a result, self-oscillations of the flow near the cylinder at low Knudsen numbers are examined.
Key words: rarefied gas, numerical method, nonstationary problem, self-oscillations.
Received: 03.11.2004
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: I. N. Larina, V. A. Rykov, “Calculation of the flow of rarefied gas around a circular cylinder at low Knudsen numbers”, Zh. Vychisl. Mat. Mat. Fiz., 45:7 (2005), 1304–1320; Comput. Math. Math. Phys., 45:7 (2005), 1259–1275
Citation in format AMSBIB
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\by I.~N.~Larina, V.~A.~Rykov
\paper Calculation of the flow of rarefied gas around a circular cylinder at low Knudsen numbers
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 7
\pages 1304--1320
\mathnet{http://mi.mathnet.ru/zvmmf632}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2188419}
\zmath{https://zbmath.org/?q=an:1090.76059}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 7
\pages 1259--1275
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  • https://www.mathnet.ru/eng/zvmmf632
  • https://www.mathnet.ru/eng/zvmmf/v45/i7/p1304
    • This publication is cited in the following 5 articles:
    1. I. N. Larina, V. A. Rykov, “A kinetic model of the Boltzmann equation for the power-law interaction potential between molecules”, Comput. Math. Math. Phys., 50:3 (2010), 519–530  mathnet  crossref  mathscinet  adsnasa  isi
    2. I. N. Larina, V. A. Rykov, “Kinetic model of the Boltzmann equation with limiting gas flow regimes at low Knudsen numbers”, Comput. Math. Math. Phys., 48:7 (2008), 1221–1233  mathnet  crossref  isi
    3. Larina I.N., Rylkov V.A., “Investigation of Slow Monatomic Gas Flows Past a Circular Cylinder”, Fluid Dynamics, 43:6 (2008), 968–976  crossref  mathscinet  zmath  adsnasa  isi  scopus
    4. I. N. Larina, V. A. Rykov, “Models of a linearized Boltzmann collision integral”, Comput. Math. Math. Phys., 47:6 (2007), 983–997  mathnet  crossref
    5. Larina I.N., Rykov V.A., “Investigation of the Rarefied Gas Flow around a Circular Cylinder in Stationary and Oscillatory Regimes”, Fluid Dynamics, 41:1 (2006), 152–160  crossref  mathscinet  zmath  adsnasa  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:72
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