Application of the spherical metric tensor to grid adaptation and the solution of applied problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 4, pp. 653-670
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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.
@article{ZVMMF_2012_52_4_a5,
author = {A. V. Kofanov and V. D. Liseikin and A. D. Rychkov},
title = {Application of the spherical metric tensor to grid adaptation and the solution of applied problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {653--670},
publisher = {mathdoc},
volume = {52},
number = {4},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_4_a5/}
}
TY - JOUR AU - A. V. Kofanov AU - V. D. Liseikin AU - A. D. Rychkov TI - Application of the spherical metric tensor to grid adaptation and the solution of applied problems JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2012 SP - 653 EP - 670 VL - 52 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_4_a5/ LA - ru ID - ZVMMF_2012_52_4_a5 ER -
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A. V. Kofanov; V. D. Liseikin; A. D. Rychkov. Application of the spherical metric tensor to grid adaptation and the solution of applied problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 4, pp. 653-670. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_4_a5/