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Matematicheskoe modelirovanie, 2016, Volume 28, Number 2, Pages 123–132 (Mi mm3704)  
This article is cited in 27 scientific papers (total in 27 papers)

Compact grid-characteristic schemes of higher orders for 3D linear transport equation

V. I. Golubev, I. B. Petrov, N. I. Khokhlov

Moscow Institute of Physics and Technology
Full-text PDF (338 kB) Citations (27)
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Abstract: A numerical solution of 3D linear transport equation on parallelepiped grids is described. With the usage of split along coordinate axis technique compact grid-characteristic schemes of higher orders were generalized up to 3D case. The influence of separate steps of the algorithm on the precision of the final scheme was estimated. The approach for preserving the convergence order of scheme on smooth solution and minimize unphysical oscillations on discontinuous solution in 3D was proposed.
Keywords: computer simulation, compact schemes, numerical grid-characteristic method, transport equation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation RFMEFI57514X0084
Received: 08.07.2015
English version:
Mathematical Models and Computer Simulations, 2016, Volume 8, Issue 5, Pages 577–584
DOI: https://doi.org/10.1134/S2070048216050082
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. I. Golubev, I. B. Petrov, N. I. Khokhlov, “Compact grid-characteristic schemes of higher orders for 3D linear transport equation”, Matem. Mod., 28:2 (2016), 123–132; Math. Models Comput. Simul., 8:5 (2016), 577–584
Citation in format AMSBIB
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\by V.~I.~Golubev, I.~B.~Petrov, N.~I.~Khokhlov
\paper Compact grid-characteristic schemes of higher orders for 3D linear transport equation
\jour Matem. Mod.
\yr 2016
\vol 28
\issue 2
\pages 123--132
\mathnet{http://mi.mathnet.ru/mm3704}
\elib{https://elibrary.ru/item.asp?id=25707632}
\transl
\jour Math. Models Comput. Simul.
\yr 2016
\vol 8
\issue 5
\pages 577--584
\crossref{https://doi.org/10.1134/S2070048216050082}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84987973986}
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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