A method for improving the local refinement quality of a finite element mesh

Abstract

The invention discloses a method for improving the local refinement quality of a finite element mesh. The method includes: an encryption partition step: a region to be refined is determined on an initial region which has been refined by a finite element two-dimensional element mesh, in the region to be refined, the region to be refined is refined by a finite element two-dimensional element mesh with a smaller mesh cell size and a higher density, and after refinement, a triangular element exists in the peripheral region of the region to be refined; a triangular element removal step: a triangular element is selected, one or more mesh elements adjacent to the triangular element are selected, the triangular element and the mesh element form a transition region together, and the transition region has a quadrilateral contour, in the transition region, the original triangular element and the mesh element are eliminated, and the transition region is refilled with a plurality of quadrilateral elements. For each triangle element in the peripheral region of the area to be encrypted, a triangle removal step is sequentially performed until all the triangle elements are removed.

Description

technical field [0001] The present invention relates to the application technology of finite element, and more specifically, relates to a method for removing triangular elements in a two-dimensional element finite element grid to improve the quality of the grid when it is locally refined. Background technique [0002] In mathematics, finite element is a numerical technique for solving approximate solutions of partial differential equations. When solving, the whole problem area is decomposed, and each sub-area becomes a basic unit, which is called a finite element. In the process of automobile design and testing, the finite element method can be used to rate the structural performance of parts and vehicles as early as possible, quickly discover the weak links of the design, propose optimization and improvement suggestions, and reduce the number of parts and tests to shorten the development process. Time and reduce development costs, improve product maturity. [0003] The ty...

AI Technical Summary

Problems solved by technology

For a triangular unit, since the linear interpolation function is used, the strain is the first derivative of the displacement, so the strain in the unit can only be a constant. When the simulated strain gradient is large, a large error will occur, and the stress obtained through the strain will also be ensuing large error

Due to the large number of finite element elements in the refinement part, the number of newly added triangle elements is also large, the workload of removal work is large, and the efficiency is low

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