Adaptive High-Aspect Ratio Structured 2-D Grids

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.