Geodesic
Solution of the heat equation on unstructured curvilinear grids
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 11, pp. 2075-2083 
V. M. Goloviznin; V. N. Koterov; V. M. Krivtsov. Solution of the heat equation on unstructured curvilinear grids. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 11, pp. 2075-2083. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a10/
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     title = {Solution of the heat equation on unstructured curvilinear grids},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a10/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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