A Technology for Grid Generation in Volumes Bounded by the Surfaces of Revolutions

Abstract

A technology for structured grid generation in the volumes bounded by surfaces of revolutions is suggested. The technology is designed for modeling the processes of multi-component hydrodynamics. The technology is developed within variational approach for generation of optimal grids. It includes several types of algorithms for different types of constructions. The basic construction is the volume of revolution obtained by the rotation through 180° about the axis of a generatrix consisting of straight line segments, arcs of circles and ellipses. The generalization of the volumes of revolution (volumes formed by the surfaces of revolution with parallel axes) and constructions obtained by the deformation of the volume of revolution by the another volume of revolution or its generalization are also considered. Algorithms perform the description of the geometry of constructions, generation of initial grids, correction of grids to the boundary of constructions, deformation of grids and constructions, optimization and testing of grids.