MODULE OF GEOMETRIC CORE GeoCore IN "3D-RND" PROGRAM PACKAGE
D. V. Loginov
VANT. Ser.: Mat. Mod. Fiz. Proc 2018. Вып.4. С. 70-75.
The problem of constructing a grid on a surface of revolution deformed by another surface of revolution is considered. To solve it, a nonstationary algorithm of constructing grids in regions with moving deformable boundaries is suggested. This algorithm includes three stages: a preparatory stage followed by deformation and optimization stages. In the preparatory stage, the deforming body shape (whether a cone, a cylinder, or a sphere) is identified and the coordinate system transformations are performed. In the deformation stage, the deforming body puts pressure on the surface of revolution and the deformation step is selected. Nodes subjected to deformation are displaced with respect to the selected step and projected to the deforming surface (body). In the optimization stage, the deformed grid quality is improved. The main criteria for the assessment of the grid quality are nondegeneracy, smoothness, and similarity to uniform and orthogonal grids. The deformation and optimization stages are repeated till the achievement of the required deformation, with the deforming body occupying the specified position inside the deformed region. The algorithm is implemented in a C++ software system. Keywords: structured grid, axially symmetric region, deformed grid, optimal grid, moving grid.
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