Adaptive High-Aspect Ratio Structured 2-D Grids

Proceedings, 9th International Meshing Roundtable, Sandia National Laboratories, pp.193-204, October 2000

MESHING
RESEARCH
CORNER

Vladimir Tishkin
Institute of Mathematical Modeling, Russian Academy of Sciences, Moscow, Russia
Email: tishkin@imamod.ru
Konstantin Bogomolov
Moscow State University, Moscow, Russia
Email: bogomolov@iname.com

Abstract
The problem of adaptation of structured 2-D grids to a control function is investigated. We aim to create a grid with highly stretched and nearly orthogonal cells in regions of control function’s singularities of thin-layer type. Adaptation is performed by optimizing a mesh quality functional via node-movement. Construction of the functional is specifically investigated. The presented functional is a combination of an orthogonality functional and of an equidistributing adaptivity functional. The functional and presented node-movement strategy are used to adapt grids to several example control functions, achieving both high-aspect adaptation in thin layer regions and isotropic adaptation at their intersections.

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