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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 10, Pages 1591–1599
DOI: https://doi.org/10.31857/S0044466923100174 (Mi zvmmf11626) 		 
General numerical methods

Grid-characteristic numerical method on an irregular grid with extending the interpolation stencil

A. V. Vasyukov, I. E. Smirnov

Moscow Institute of Physics and Technology, 141700, Dolgoprudnyi, Moscow oblast, Russia
DOI: https://doi.org/10.31857/S0044466923100174
Abstract: A grid-characteristic numerical method for solving a multidimensional transport equation on an unstructured grid with an order higher than one is proposed; this method does not use auxiliary points on edges and faces. The avoidance of auxiliary points on edges and faces simplifies the topology of the computational grid during its motion, which is important for solving dynamic problems of mechanics of deformable solids. To increase the approximation order, an analog of the grid stencil extension implemented for an unstructured grid is used. Results of testing the proposed numerical scheme for continuously differentiable, continuous, discontinuous solutions are presented.
Key words: grid-characteristic method, unstructured grid, transport equation, dynamic problem, mechanics of deformable solids.
Funding agency Grant number
Russian Science Foundation 22-11-00142
This work was supported by the Russian Science Foundation, project no. 22-11-00142.
Received: 21.03.2023
Revised: 27.05.2023
Accepted: 26.06.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 10, Pages 1751–1759
DOI: https://doi.org/10.1134/S0965542523100147
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. V. Vasyukov, I. E. Smirnov, “Grid-characteristic numerical method on an irregular grid with extending the interpolation stencil”, Zh. Vychisl. Mat. Mat. Fiz., 63:10 (2023), 1591–1599; Comput. Math. Math. Phys., 63:10 (2023), 1751–1759
Citation in format AMSBIB
\Bibitem{VasSmi23}
\by A.~V.~Vasyukov, I.~E.~Smirnov
\paper Grid-characteristic numerical method on an irregular grid with extending the interpolation stencil
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 10
\pages 1591--1599
\mathnet{http://mi.mathnet.ru/zvmmf11626}
\crossref{https://doi.org/10.31857/S0044466923100174}
\elib{https://elibrary.ru/item.asp?id=54648759}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 10
\pages 1751--1759
\crossref{https://doi.org/10.1134/S0965542523100147}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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