Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
 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

 Zh. Vychisl. Mat. Mat. Fiz.: Year: Volume: Issue: Page: Find

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

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.

Full text: PDF file (445 kB)
References: PDF file   HTML file

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

Bibliographic databases:

UDC: 519.634
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
\Bibitem{TitSha10} \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 \mathnet{http://mi.mathnet.ru/zvmmf4852} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2681932} \adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2010CMMPh..50..537T} \transl \jour Comput. Math. Math. Phys. \yr 2010 \vol 50 \issue 3 \pages 537--548 \crossref{https://doi.org/10.1134/S0965542510030152} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000277337300015} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77951869188} 

• http://mi.mathnet.ru/eng/zvmmf4852
• http://mi.mathnet.ru/eng/zvmmf/v50/i3/p563

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

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
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
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
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
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
6. Misdanitis S., Pantazis S., Valougeorgis D., “Pressure driven rarefied gas flow through a slit and an orifice”, Vacuum, 86:11 (2012), 1701–1708
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
8. Pantazis S. Valougeorgis D. Sharipov F., “End Corrections for Rarefied Gas Flows Through Capillaries of Finite Length”, Vacuum, 97 (2013), 26–29
•  Number of views: This page: 332 Full text: 116 References: 27 First page: 2