Open AccessThe algorithm for generation of structured grids in deformed volumes of revolution
Author(s) -
Alla I. Anuchina,
N. A. Artyomova,
Vyacheslav A. Gordeychuck,
О. В. Ушакова
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1392/1/012029
Subject(s) - generatrix , algorithm , grid , curvilinear coordinates , computer science , volume (thermodynamics) , unstructured grid , rotation (mathematics) , plane (geometry) , process (computing) , deformation (meteorology) , mesh generation , surface of revolution , geometry , mathematical optimization , mathematics , surface (topology) , engineering , structural engineering , finite element method , geology , physics , oceanography , quantum mechanics , operating system
For the volume of revolution deformed by another volume of revolution, a grid generation algorithm is suggested. The algorithm is designed for multimaterial hydrodynamic simulation and for solving other physical and engineering problems. The algorithm represents the non-stationary procedure generating three-dimensional structured grids in domains with moving boundaries. The algorithm is developed within the variational approach for constructing optimal curvilinear grids. The volume of revolution is obtained by the rotation about the axis through 180° of a plane generatrix curve consisting of straight line segments and arcs of circles. The non-stationary algorithm is the iterative process at each stage of which the deformation of a grid and then its optimization are carried out. The deformation of a grid is implemented within the geometrical approach, and the optimization of a grid within the variational approach. Iterations are continued until the necessary deformation is reached. The algorithm is realized in the computer code written in C++.