Computer technologies for adaptive mesh generation in SIGMA preprocessor

Yu. I. Dimitrienko, Andrey A. Zakharov · 2017

The paper presents the technologies for development of the SIGMA preprocessor to generate block structured adaptive grids. The generated grids can be two-dimensional, two-dimensional axisymmetric (in cylindric coordinates) or three-dimensional. They are applied for the finite difference, finite element or finite volume methods. We describe the methods of computer aided geometric design of domains, grid generation techniques, approaches to the grid concentration, methods of working with block structured quasi-continuous grids for the certain types of curved domains, aspects of subdivision block structured adaptive grids into tetrahedral elements and vertex-centered control volumes. The algorithms for generation of ghost nodes and cells and calculation of distances from internal mesh nodes to domain boundaries are given. The article provides the SIGMA preprocessor interfaces and some examples of mesh generation. Some advantages of the proposed technology of the adaptive grid generation are determined in comparison with other approaches.

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