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




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 3, Pages 517–531 (Mi zvmmf4847)  
This article is cited in 9 scientific papers (total in 9 papers)

Application of the multigrid approach to the solution of 3D Navier–Stokes equations on hexahedral grids by the Galerkin method with discontinuous basis functions

A. V. Volkov

Zhukovski Central Institute of Aerohydrodynamics, ul. Zhukovskogo 1, Zhukovski, Moscow oblast, 140180 Russia
Full-text PDF (569 kB) Citations (9)
References:
PDF
HTML
Abstract: The Galerkin method with discontinuous basis functions is adapted for solving the Euler and Navier–Stokes equations on unstructured hexahedral grids. A hybrid multigrid algorithm involving the finite element and grid stages is used as an iterative solution method. Numerical results of calculating the sphere inviscid flow, viscous flow in a bent pipe, and turbulent flow past a wing are presented. The numerical results and the computational cost are compared with those obtained using the finite volume method.
Key words: discontinuous Galerkin method, hp-multigrid method, scheme of high order of accuracy, 3D Euler and Navier–Stokes equations, unstructured hexahedral grids.
Received: 24.08.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 3, Pages 495–508
DOI: https://doi.org/10.1134/S0965542510030103
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. V. Volkov, “Application of the multigrid approach to the solution of 3D Navier–Stokes equations on hexahedral grids by the Galerkin method with discontinuous basis functions”, Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010), 517–531; Comput. Math. Math. Phys., 50:3 (2010), 495–508
Citation in format AMSBIB
\Bibitem{Vol10}
\by A.~V.~Volkov
\paper Application of the multigrid approach to the solution of 3D Navier--Stokes equations on hexahedral grids by the Galerkin method with discontinuous basis functions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2010
\vol 50
\issue 3
\pages 517--531
\mathnet{http://mi.mathnet.ru/zvmmf4847}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2681927}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2010CMMPh..50..495W}
\transl
\jour Comput. Math. Math. Phys.
\yr 2010
\vol 50
\issue 3
\pages 495--508
\crossref{https://doi.org/10.1134/S0965542510030103}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000277337300010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77951817274}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf4847
  • https://www.mathnet.ru/eng/zvmmf/v50/i3/p517
    • This publication is cited in the following 9 articles:
    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
    Statistics & downloads:
    Abstract page:492
    Full-text PDF :242
    References:70
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024