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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 4, Pages 653–670 (Mi zvmmf9684)  
This article is cited in 4 scientific papers (total in 4 papers)

Application of the spherical metric tensor to grid adaptation and the solution of applied problems

A. V. Kofanov, V. D. Liseikin, A. D. Rychkov

Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva 6, Novosibirsk, 630090 Russia
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Abstract: New results concerning the construction and application of adaptive numerical grids for solving applied problems are presented. The grid generation technique is based on the numerical solution of inverted Beltrami and diffusion equations for a monitor metric. The capabilities of the spherical metric tensor as applied to adaptive grid generation are examined in detail. Adaptive hexahedral grids are used to numerically solve a boundary value problem for the three-dimensional heat equation with a moving boundary in a continuous medium with discontinuous thermophysical parameters; this problem models the interaction of a thermal wave with a thermocouple embedded in the solid.
Key words: numerical solution of applied problems, adaptive grid generation, spherical monitor metric, three-dimensional heat equation.
Received: 06.04.2011
Revised: 03.08.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 4, Pages 548–564
DOI: https://doi.org/10.1134/S0965542512040094
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. V. Kofanov, V. D. Liseikin, A. D. Rychkov, “Application of the spherical metric tensor to grid adaptation and the solution of applied problems”, Zh. Vychisl. Mat. Mat. Fiz., 52:4 (2012), 653–670; Comput. Math. Math. Phys., 52:4 (2012), 548–564
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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