Abstract
An opportunity of the orthogonal grids generation for solving 2D and 3D (initial) boundary value problems has been analyzed in this paper. Based on orthogonality condition two variants of the orthogonal grid generation (based on PDEs of elliptic and hyperbolic types) in 2D domains and two partial cases, motion and rotation of 2D orthogonal grid, in 3D domains has been found. An equation that can be used for quality control of 3D close-to-orthogonal boundary fitted structured grids has been proposed.
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