The calculus of variations provides an excellent opportunity to create new techniques for generation of structured grids by utilizing the idea of optimization of grid characteristics modeled through appropriate functionals. The grid characteristics include grid smoothness, departure from orthogonality or con-formality, cell skewness, and cell volume. The minimization of a combination of the functionals representing the desired grid features generates the equations for those coordinate transformations which yield a grid with optimally balanced grid quality measures. The relative contributions of the functionals are determined by the user-prescribed weights.
KeywordsCoordinate Transformation Natural Boundary Condition Grid Property Grid Characteristic Cell Aspect Ratio
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