Some aspects of grid generation

New results concerning the development of a universal method for grid generation based on the numerical solution of the inverted Beltrami and diffusion equations with respect to the monitor metric are obtained. In order to build monitor metrics, layer-type functions are used. Algorithms for generating smoothly matched block grids are proposed. Examples of two-and three-dimensional grids for the tokamak edge region, for calculation of a passive impurity in the atmosphere, and for the numerical solution of two-dimensional singularly perturbed problems are presented.