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, 2008, Volume 48, Number 3, Pages 505–528 (Mi zvmmf172)  
This article is cited in 38 scientific papers (total in 38 papers)

Piecewise parabolic method on a local stencil for ideal magnetohydrodynamics

M. V. Popov, S. D. Ustyugov

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
Full-text PDF (2690 kB) Citations (38)
References:
PDF
HTML
Abstract: A numerical scheme based on the piecewise parabolic method on a local stencil (PPML) is proposed for solving the ideal magnetohydrodynamic (MHD) equations. The method makes use of the conservation of Riemann invariants along the characteristics of the MHD equations. As a result, a local stencil can be used to construct a numerical solution. This approach improves the dissipative properties of the numerical scheme and is convenient in the case of adaptive grids. The basic stages in the design of the scheme are illustrated in the two-dimensional case. The conservation of the solenoidal property of the magnetic field is discussed. The scheme is tested using several typical MHD problems.
Key words: numerical methods for MHD problems, local stencil, Riemann invariants, PPM, PPML.
Received: 20.06.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 3, Pages 477–499
DOI: https://doi.org/10.1007/s11470-008-3011-1
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: M. V. Popov, S. D. Ustyugov, “Piecewise parabolic method on a local stencil for ideal magnetohydrodynamics”, Zh. Vychisl. Mat. Mat. Fiz., 48:3 (2008), 505–528; Comput. Math. Math. Phys., 48:3 (2008), 477–499
Citation in format AMSBIB
\Bibitem{PopUst08}
\by M.~V.~Popov, S.~D.~Ustyugov
\paper Piecewise parabolic method on a~local stencil for ideal magnetohydrodynamics
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2008
\vol 48
\issue 3
\pages 505--528
\mathnet{http://mi.mathnet.ru/zvmmf172}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2426503}
\zmath{https://zbmath.org/?q=an:05282437}
\transl
\jour Comput. Math. Math. Phys.
\yr 2008
\vol 48
\issue 3
\pages 477--499
\crossref{https://doi.org/10.1007/s11470-008-3011-1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000262333200011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42449135016}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf172
  • https://www.mathnet.ru/eng/zvmmf/v48/i3/p505
    • This publication is cited in the following 38 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:390
    Full-text PDF :137
    References:44
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024