A variational method for generation of high aspect-ratio regular adaptive grids
Matematičeskoe modelirovanie, Tome 13 (2001) no. 5, pp. 11-28
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A method for generation of 2D adaptive quadrilateral grids is presented. The resulting grid contains near-orthogonal cells that are strongly stretched along control function's singularities. The generation is performed by a variational method using a combination of grid's orthogonality and adaptivity functionals. Metric used in the adaptivity functional allows to produce both high aspect-ratio quadrilaterals along the control function's discontinuity lines and adaptation in all directions at other areas of singularity.
@article{MM_2001_13_5_a1,
author = {K. L. Bogomolov and L. M. Degtyarev and V. F. Tishkin},
title = {A~variational method for generation of high aspect-ratio regular adaptive grids},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {11--28},
year = {2001},
volume = {13},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_2001_13_5_a1/}
}
TY - JOUR AU - K. L. Bogomolov AU - L. M. Degtyarev AU - V. F. Tishkin TI - A variational method for generation of high aspect-ratio regular adaptive grids JO - Matematičeskoe modelirovanie PY - 2001 SP - 11 EP - 28 VL - 13 IS - 5 UR - http://geodesic.mathdoc.fr/item/MM_2001_13_5_a1/ LA - ru ID - MM_2001_13_5_a1 ER -
K. L. Bogomolov; L. M. Degtyarev; V. F. Tishkin. A variational method for generation of high aspect-ratio regular adaptive grids. Matematičeskoe modelirovanie, Tome 13 (2001) no. 5, pp. 11-28. http://geodesic.mathdoc.fr/item/MM_2001_13_5_a1/