Method for dividing side edge double-layer concave one-way double-transition symmetric grid

Abstract

The invention discloses a method for dividing a side edge double-layer concave one-way double-transition symmetric grid, and relates to the technical field of finite element numerical simulation. First, a rectangular region is created and divided into two parts along a symmetric center line. Then, the fine grid area, the transition layer area and the coarse grid area are sequentially cut along the symmetric center line; the first transition layer adopts a side edge double-layer concave shape as a basic transition geometric component, and starting from the second transition layer, according to the cutting condition of the previous transition layer, the basic transition geometric component of the transition layer and the cutting scheme of the tail section are selected in a self-adaptive mode. And finally, setting a node arrangement strategy on all line segments in the rectangular plate, selecting a unit type, and generating a grid. According to the method, the proportion limitation of the fine grid side length and the plate width in a traditional transition grid dividing method is avoided, the grid shape is regular, the plate width does not affect the number of nodes of the transition layer on the rectangular boundary, and rectangular plate transition grids with different widths generated through the method are conveniently and transversely spliced.

Description

technical field [0001] The invention relates to the technical field of finite element numerical simulation, in particular to a method for dividing a side double-layer concave unidirectional 2-fold transition symmetrical grid. Background technique [0002] The finite element method is an important numerical simulation method used to assist the design of civil engineering structures. The core idea of ​​this method is to simplify the complex objects into small areas with simple geometry, and then use a simple trial function in each small area to approximate the real response of the material. In general, the finer the mesh, the smaller the error in the simulation results. But too fine mesh will increase the size of the overall stiffness matrix, which requires more computing time and computer memory, and increases the cost of the simulation. When the stress gradient in a certain area inside the simulated object is not large, good calculation accuracy can also be obtained by usi...

AI Technical Summary

Problems solved by technology

[0004] Technical problem: The purpose of the present invention is to solve the problem of different width rectangular plate grids produced by the self-adaptive concave one-way 2-fold transitional symmetric grid division method that cannot be smoothly spliced ​​horizontally, and to provide a programmable, non-restricted fine mesh grid size, 2D rectangular plate vertical transition grid division method that can be spliced ​​horizontally with different widths

Images