Solution of the heat equation on unstructured curvilinear grids

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...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2011-11, Vol.51 (11), p.1953-1961
Main Authors: Goloviznin, V. M., Koterov, V. N., Krivtsov, V. M.
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Computation
Computational mathematics
Computational Mathematics and Numerical Analysis
Cubes
Finite element analysis
Finite volume method
Flux
Heat
Heat equations
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Numerical analysis
Physics
Stencils
Studies
Temperature
Three dimensional
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Summary: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.
ISSN:0965-5425
1555-6662
DOI:10.1134/S096554251111008X