AN ALGORITHM OF CORRECTING A GRID WITH RESPECT TO THE SURFACE OF REVOLUTION
O. V. Ushakova
VANT. Ser.: Mat. Mod. Fiz. Proc 2016. Вып.1. С. 16-27.
The paper presents an algorithm of correcting positions of boundary nodes of a structured grid with respect to the surface of revolution generated by the revolution through 180° around its axis of a plane generator of curve consisting of line segments, arcs of circles and ellipses. This correcting algorithm supplements the algorithm of globally reconstructing grids at surfaces of revolution and allows moving boundary nodes during the reconstruction of grids directly over surfaces of revolution, rather than over linear surfaces of cell faces of the original grid. The algorithm can be used independently to correct the grid which nodes moved away from the surface of revolution. The algorithm implementation in software systems used for the global reconstruction of 3D space grids and in individual codes in Fortran and C++ used to correct grids with respect to the surface of revolution allowed significantly improving the efficiency of simulation of multimaterial media. Keywords: grids, boundary nodes, surfaces of revolution, projection.
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