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Computer Research and Modeling, 2011, Volume 3, Issue 4, Pages 353–364
DOI: https://doi.org/10.20537/2076-7633-2011-3-4-353-364 (Mi crm562) 		 
NUMERICAL METHODS AND THE BASIS FOR THEIR APPLICATION

Investigation of approximation order of invariant differential operators on movable irregular quadrangular grid

N. A. Zav'yalova

Moskow intsitute of physics and technology (state university), Department of computational mathematics, Institutskiy per. 9, Dolgoprudniy, 141701, Russia
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DOI: https://doi.org/10.20537/2076-7633-2011-3-4-353-364
Abstract: The a priori analysis of approximation of magnetohydrodynamic equations on irregular quadrangular analysis was performed. The values of coefficients which determine the misalignment norm for difference analogs of operators gradient and divergence were calculated. Was studied the influence of properties of grid cells on misalignment. For the numerical confirmation of obtained estimations were cited the examples of calculations with specifying identical initial data on different grids.
Keywords: approximation, misalignment, difference equation, movable grid.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation ГКП 954
Russian Foundation for Basic Research 07-01-00381
10-01-00751
Received: 30.08.2011
Revised: 13.09.2011
Document Type: Article
UDC: 519.6
Language: Russian
Citation: N. A. Zav'yalova, “Investigation of approximation order of invariant differential operators on movable irregular quadrangular grid”, Computer Research and Modeling, 3:4 (2011), 353–364
Citation in format AMSBIB
\Bibitem{Zav11}
\by N.~A.~Zav'yalova
\paper Investigation of approximation order of invariant differential operators on movable irregular quadrangular grid
\jour Computer Research and Modeling
\yr 2011
\vol 3
\issue 4
\pages 353--364
\mathnet{http://mi.mathnet.ru/crm562}
\crossref{https://doi.org/10.20537/2076-7633-2011-3-4-353-364}
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