Geodesic
Solution of the heat equation on unstructured curvilinear grids
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 11, pp. 2075-2083

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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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     author = {V. M. Goloviznin and V. N. Koterov and V. M. Krivtsov},
     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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     publisher = {mathdoc},
     volume = {51},
     number = {11},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a10/}
}
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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/