| Инд. авторы: | Kofanov A.V., Liseikin V.D., Rychkov A.D. |
| Заглавие: | Application of the spherical metric tensor to grid adaptation and the solution of applied problems |
| Библ. ссылка: | Kofanov A.V., Liseikin V.D., Rychkov A.D. Application of the spherical metric tensor to grid adaptation and the solution of applied problems // Computational Mathematics and Mathematical Physics. - 2012. - Vol.52. - Iss. 4. - P.548-564. - ISSN 0965-5425. - EISSN 1555-6662. |
| Внешние системы: | DOI: 10.1134/S0965542512040094; РИНЦ: 17984318; SCOPUS: 2-s2.0-84860591057; WoS: 000303536100005; |
| Реферат: | eng: 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. rus: 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. |
| Издано: | 2012 |
| Физ. характеристика: | с.548-564 |
