AN ALGORITHM OF CORRECTING A GRID WITH RESPECT TO A DEFORMED DOMAIN OF REVOLUTION
O. V. Ushakova
VANT. Ser.: Mat. Mod. Fiz. Proc 2017. Вып.2. С. 53-65.
An algorithm is proposed for correcting boundary nodes of a structured grid with respect to the boundary of a domain of revolution deformed by the pressure of another domain of revolution. A domain of revolution is formed, if a plane generator of a curve consisting of line segments, arcs of circles, and ellipses is turned through 180° around axis. A grid correction algorithm is the necessary step in constructing grids in domains of interest and during the grid reconstruction it allows moving boundary grid nodes directly along the domain boundary – surfaces of revolution of the deformed and deforming bodies, rather than moving them over ruled surfaces of cell faces of the original grid constructed for the domain discretization. The proposed algorithm may be also used independently to reconstruct a grid, whose nodes left the domain boundary. The algorithm implemented in software systems for generating 3D grids and in individual codes in C++ for correcting a grid with respect to a domain boundary allows significantly increasing the effectiveness of mathematical modeling of multicomponent media.Keywords: grids, boundary nodes, domains of revolution, projection.
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English
