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Zh. Vychisl. Mat. Mat. Fiz., 2012, Volume 52, Number 4, Pages 653–670 (Mi zvmmf9684)  

This article is cited in 2 scientific papers (total in 2 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

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.

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English version:
Computational Mathematics and Mathematical Physics, 2012, 52:4, 548–564

Bibliographic databases:

UDC: 519.63
Received: 06.04.2011
Revised: 03.08.2011

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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. V. Kofanov, V. D. Liseikin, “Grid construction for discretely defined configurations”, Comput. Math. Math. Phys., 53:6 (2013), 759–765  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    2. A. V. Kofanov, V. D. Liseikin, A. D. Rychkov, “Application of coordinate transformations in numerical simulation of tsunami runup by the large particle method”, Comput. Math. Math. Phys., 55:1 (2015), 109–116  mathnet  crossref  crossref  mathscinet  isi  elib  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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