On the development of the grid generation technology for constructions bounded by the surfaces of revolutions

Abstract

Further development of the technology for generation of three-dimensional structured grids in constructions bounded by the surfaces of revolutions is presented. The technology has started to be developed first for the volumes of revolution. Then algorithms for deformed volumes of revolution and for the volumes bonded by the surfaces of revolution with parallel axis of rotation have been elaborated. The technology is designed for numerical modeling the processes of multicomponent hydrodynam- ics. It is being developed within the variational approach for constructing optimal grids satisfying optimality criteria: closeness of grids to uniform ones in the distance between nodes (criterion of uniformity), closeness of grids to orthogonal ones (criterion of orthogonality) and adaptation to a given function (criterion of adaptation). At present time the technology is enlarged by the algorithms and programs for grid generation in volumes of revolution deformed by the volumes of revolution formed by the several surfaces of revolution. Besides this, in the technology the criterion of adaptation is realized in the three-dimensional case. Earlier, the algorithms were developed for the cases of deformations by a conus, a cylinder and a sphere and the criterion of adaptation was realized in the two-dimensional case. Examples of grids are given.