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Projection-based space curved surface quadrangle grid dissection method

A grid division and quadrilateral technology, applied in the field of grid division, can solve problems such as mapping distortion and poor surface adaptability, and achieve the effects of strong surface adaptability, resolution of mapping distortion, and high quality

Inactive Publication Date: 2017-05-10
YELLOW RIVER ENG CONSULTING
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AI Technical Summary

Problems solved by technology

[0007] The purpose of the present invention is to provide a projection-based spatial surface quadrilateral meshing method for the problems of poor adaptability to complex-shaped curved surfaces and mapping distortion in curved surface meshing

Method used

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  • Projection-based space curved surface quadrangle grid dissection method
  • Projection-based space curved surface quadrangle grid dissection method
  • Projection-based space curved surface quadrangle grid dissection method

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Embodiment Construction

[0048] The projection-based quadrilateral meshing method for space surfaces of the present invention comprises the following steps:

[0049] first step, such as figure 1As shown, the outer boundary of the curved surface S is divided into an extended quadrilateral surrounded by four curved sides. The intersection points of the four curved sides of the extended quadrilateral form four vertices A, B, C, and D of the extended quadrilateral. The four Curved sides AB, BC, CD, and DA are all composed of curved segments; certainly, the four curved sides AB, BC, CD, DA can also be composed of curved segments and straight segments or straight segments and straight segments; without loss of generality, the curved surfaces S is a combined surface composed of q sub-surfaces expressed in NURBS, DEM, and TIN, where q is a natural number;

[0050] The second step, such as figure 2 As shown, the curved sides AB and CD of the extended quadrilateral are quartered according to their respective...

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Abstract

The invention discloses a projection-based space curved surface quadrangle grid dissection method, which comprises the following steps: segmenting the curved surface S outer boundary into a quadrangle enclosed by four curved edges AB, BC, CD and DA; dividing the curved edges AB and CD into m equal parts; dividing the curved edges BC and DA into n equal parts; connecting the equal division points on the curved edges AB and CD with a straight line and dividing the straight line into n equal parts; projecting n-1 dissection points onto the curved surface S with the maximum value recorded as Emax 1; connecting the jth equal division point on the curved edge DA to form the jth dissection line; dividing the jth dissection line into m equal parts; projecting the equal division points onto the curved surface S with the maximum value recorded as Emax 2; comparing Emax 1 with Emax 2 wherein the bigger one is recorded as Emax; if the Emax is smaller than a preset convergence standard, then completing the dissection. According to the invention, the standard grids generated from a planar domain are projected onto a curved surface, and the generated grids better approach the original curved surface and the grids are good in quality, therefore solving the problem of mapping distortion.

Description

technical field [0001] The invention relates to the grid subdivision technology when the finite element method is used for numerical calculation in engineering practice, in particular to the quadrilateral grid subdivision method for spatial curved surfaces based on projection. Background technique [0002] In the implementation process of the finite element method, the finite element preprocessing part accounts for a considerable proportion, which mainly includes the discretization process of the continuum and the loading process of constraint information, load information and material information. Among them, the discretization process of continuum is the core of this part of work, which is called finite element meshing. The method of studying how to generate a mesh that meets the requirements of finite element analysis in a certain area is called finite element meshing method. [0003] Automatic surface meshing is an important research topic in finite element meshing tech...

Claims

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Application Information

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IPC IPC(8): G06T11/00G06F17/50
CPCG06F30/23G06T11/003
Inventor 李斌李楚晨宋志宇白正雄
Owner YELLOW RIVER ENG CONSULTING
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