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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 11, Pages 2075–2083 (Mi zvmmf9577)  
Solution of the heat equation on unstructured curvilinear grids

V. M. Goloviznina, V. N. Koterovb, V. M. Krivtsovb

a Institute of Safety in Nuclear Power Engineering, Russian Academy of Sciences, ul. B. Tul’skaya 52, Moscow, 113191 Russia
b Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991 Russia
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Abstract: A computational approach to the solution of the heat equation is proposed. In the case of three-dimensional oblique (nonorthogonal) unstructured grids, this approach results in a compact grid stencil and unconditionally stable computational algorithm. A feature of the proposed approach is the use of flux functions as dependent separate variables. Mainly hexagonal grids are considered in which every cell can be continuously mapped onto a unit cube. Computational examples are presented.
Key words: numerical methods, heat equation, flux variables, nonorthogonal grids, unstructured grids.
Received: 25.03.2011
Revised: 23.05.2011
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 11, Pages 1953–1961
DOI: https://doi.org/10.1134/S096554251111008X
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: V. M. Goloviznin, V. N. Koterov, V. M. Krivtsov, “Solution of the heat equation on unstructured curvilinear grids”, Zh. Vychisl. Mat. Mat. Fiz., 51:11 (2011), 2075–2083; Comput. Math. Math. Phys., 51:11 (2011), 1953–1961
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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