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Optimization method and device for finite element triangular mesh

An optimization method, triangular technology, applied in the field of finite element analysis, to achieve the effects of easy parallel implementation, improvement of overall quality and high efficiency

Pending Publication Date: 2021-12-14
THE SECOND ACAD OF CASIC
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  • Abstract
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  • Application Information

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Problems solved by technology

[0012] The purpose of the present invention is to provide an optimization method and device for a finite element triangular grid, which is used to solve the problem of how to quickly and efficiently realize high-quality grid optimization

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  • Optimization method and device for finite element triangular mesh
  • Optimization method and device for finite element triangular mesh
  • Optimization method and device for finite element triangular mesh

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[0047] In order to clearly describe the technical solutions of the embodiments of the present invention, in the embodiments of the present invention, words such as "first" and "second" are used to distinguish the same or similar items with basically the same function and effect. For example, the first threshold and the second threshold are only used to distinguish different thresholds, and their sequence is not limited. Those skilled in the art can understand that words such as "first" and "second" do not limit the number and execution order, and words such as "first" and "second" do not necessarily limit the difference.

[0048]It should be noted that, in the present invention, words such as "exemplary" or "for example" are used as examples, illustrations or illustrations. Any embodiment or design described herein as "exemplary" or "for example" should not be construed as being preferred or advantageous over other embodiments or designs. Rather, the use of words such as "exe...

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Abstract

The invention discloses an optimization method and device for a finite element triangular mesh, and relates to the technical field of product modeling analysis. According to the method, internal nodes of a mesh are traversed, and angle-based local mesh optimization is carried out on each internal node, wherein according to the angle-based local mesh optimization, a polygon formed by all adjacent nodes of the internal nodes serves as a to-be-optimized local mesh block, and positions of optimized internal nodes are determined again according to positions of intersection points of angle equipartition lines of all internal angles of the polygon. According to the invention, the local mesh optimization is carried out on the internal nodes, so that integral optimization of a finite element triangular mesh is realized; and the positions of the internal nodes are updated by adopting the intersection points of the angle equipartition lines, so that the minimum angle in the mesh can be increased, and the maximum angle in the mesh can be reduced. The invention is easy to realize in parallel, has relatively high efficiency, and can greatly improve the overall quality of a mesh.

Description

technical field [0001] The invention relates to the technical field of finite element analysis, in particular to an optimization method and device for a finite element triangular mesh. Background technique [0002] In the field of engineering technology and scientific research, many physical and mathematical problems can be quantitatively described by establishing one or a set of partial differential equations, but it is often very difficult to solve the analytical solutions of these partial differential equations. With the development of computer science and technology, people try to approximate solve these equations by computer. Computers cannot solve problems with infinite degrees of freedom, and need to convert the problem from infinite degrees of freedom to limited degrees of freedom in a discrete way to solve. The most commonly used discretization method is to grid the problem, that is, to approximate the actual problem with finite basic units, and then it can be solv...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/23G06T17/20
CPCG06F30/23G06T17/205
Inventor 郭宇飞孙科武丁季时雨马喆毛磊
Owner THE SECOND ACAD OF CASIC
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