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Preprints of the Keldysh Institute of Applied Mathematics, 2020, 121, 16 pp.
DOI: https://doi.org/10.20948/prepr-2020-121
(Mi ipmp2912)
 

This article is cited in 2 scientific papers (total in 2 papers)

Ñonservative limiting method for modification of the CIP method for solving the transport equation

E. N. Aristova, N. I. Karavaeva
Full-text PDF (461 kB) Citations (2)
References:
Abstract: The monotonicity breaking conditions are investigated for numerical solving of transport equation by grid-characteristic method based on the Hermitian interpolation. Hermitian interpolation is built on the previous time layer using the grid values of the function itself and its spatial derivatives. The algorithm is closed using integral averaged values and the Euler – Maclaurin formula. In the case of the same signs of the derivatives at the ends of the interpolation segment, a conservative modification of limiting method is proposed, which preserves the integral averaged values and the nodal values of the function. In the case of different signs of the derivatives, it is not possible to preserve the nodal values of the function. In this case piecewise linear approximation is used.
Keywords: transport equation, grid-characteristic method, Hermitian interpolation, CIP method, conservative limiting method.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00857_à
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: E. N. Aristova, N. I. Karavaeva, “Ñonservative limiting method for modification of the CIP method for solving the transport equation”, Keldysh Institute preprints, 2020, 121, 16 pp.
Citation in format AMSBIB
\Bibitem{AriKar20}
\by E.~N.~Aristova, N.~I.~Karavaeva
\paper Ñonservative limiting method for modification of the CIP method for solving the transport equation
\jour Keldysh Institute preprints
\yr 2020
\papernumber 121
\totalpages 16
\mathnet{http://mi.mathnet.ru/ipmp2912}
\crossref{https://doi.org/10.20948/prepr-2020-121}
\elib{https://elibrary.ru/item.asp?id=44427684}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Ïðåïðèíòû Èíñòèòóòà ïðèêëàäíîé ìàòåìàòèêè èì. Ì. Â. Êåëäûøà ÐÀÍ
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    Abstract page:98
    Full-text PDF :30
    References:11
     
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