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Solution of the heat equation on unstructured curvilinear grids

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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.

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Authors and Affiliations

  1. Institute of Safety in Nuclear Power Engineering, Russian Academy of Sciences, ul. B. Tul’skaya 52, Moscow, 113191, Russia

    V. M. Goloviznin

  2. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

    V. N. Koterov & V. M. Krivtsov

Authors
  1. V. M. Goloviznin
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  2. V. N. Koterov
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  3. V. M. Krivtsov
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Corresponding author

Correspondence to V. M. Goloviznin.

Additional information

Original Russian Text © V.M. Goloviznin, V.N. Koterov, V.M. Krivtsov, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 11, pp. 2075–2083.

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Goloviznin, V.M., Koterov, V.N. & Krivtsov, V.M. Solution of the heat equation on unstructured curvilinear grids. Comput. Math. and Math. Phys. 51, 1953–1961 (2011). https://doi.org/10.1134/S096554251111008X

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  • DOI: https://doi.org/10.1134/S096554251111008X

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