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Russian Journal of Cybernetics, 2022, Volume 3, Issue 2, Pages 60–73
DOI: https://doi.org/10.51790/2712-9942-2022-3-2-8 (Mi uk114) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Discretization scheme of the induction equation on a staggered grid in orthogonal curvilinear coordinates

Igor V. Bychinab, Andrey V. Gorelikovab, Aleksey V. Ryakhovskyba

a Surgut Branch of Federal State Institute “Scientific Research Institute for System Analysis of the Russian Academy of Sciences”, Surgut, Russian Federation
b Surgut State University, Surgut, Russian Federation
Full-text PDF (207 kB) Citations (1)
DOI: https://doi.org/10.51790/2712-9942-2022-3-2-8
Abstract: A discretization scheme of the magnetic field induction equation is considered for the model of nonideal magnetic hydrodynamics within the framework of the control volume method. A constrained transfer algorithm is used to discretize the induction equation, which provides a solenoidal numerical solution. A detailed elaboration of the discrete analog of the induction equation in arbitrary orthogonal curvilinear coordinates for staggered structured computational grids is presented. The convective flows in the induction equation are approximated with the counterflow scheme using quadratic interpolation and the deferred correction method.
Keywords: induction equation, discrete analog, numerical method, magnetohydrodynamics.
Funding agency Grant number
Russian Foundation for Basic Research 20-04-60123
This work is financially supported by the Russian Foundation for Basic Research (project #20-04-60123)
Document Type: Article
Language: Russian
Citation: Igor V. Bychin, Andrey V. Gorelikov, Aleksey V. Ryakhovsky, “Discretization scheme of the induction equation on a staggered grid in orthogonal curvilinear coordinates”, Russian Journal of Cybernetics, 3:2 (2022), 60–73
Citation in format AMSBIB
\Bibitem{BycGorRya22}
\by Igor~V.~Bychin, Andrey~V.~Gorelikov, Aleksey~V.~Ryakhovsky
\paper Discretization scheme of the induction equation on a staggered grid in orthogonal curvilinear coordinates
\jour Russian Journal of Cybernetics
\yr 2022
\vol 3
\issue 2
\pages 60--73
\mathnet{http://mi.mathnet.ru/uk114}
\crossref{https://doi.org/10.51790/2712-9942-2022-3-2-8}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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