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Two-dimensional anisotropic grid cell measurement tensor field smoothing method

An anisotropic and metric tensor technology, which is applied in the field of two-dimensional anisotropic grid unit metric tensor field smoothing, can solve the problems of insufficient quality and achieve simple local modification, small number of cells, and optimal The effect of input

Active Publication Date: 2020-04-28
HANGZHOU DIANZI UNIV
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Problems solved by technology

At present, there is no better smoothing method for anisotropic mesh metric tensors, but there are related demands in the industry. For example, the initial anisotropic mesh metric tensor field generated by the NACA0012 aircraft wing geometry model is used in The quality is not enough to use when the mesh is generated, it needs to be optimized

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  • Two-dimensional anisotropic grid cell measurement tensor field smoothing method
  • Two-dimensional anisotropic grid cell measurement tensor field smoothing method
  • Two-dimensional anisotropic grid cell measurement tensor field smoothing method

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Embodiment Construction

[0037] The present invention will be further described below in conjunction with accompanying drawing.

[0038] The present invention two-dimensional anisotropic grid unit measure tensor field smoothing method, specifically as follows:

[0039] 1. Generate a geometric model covering the aircraft wing shape (such as figure 1 shown) a triangular background mesh for the region, such as Figure 4 As shown, the triangular background grid contains grid points and grid units, and the initial anisotropic grid metric tensor field of the aircraft wing shape is set at grid point B q The anisotropic grid metric tensor on M is q , q=1,2,...,n, n is the total number of grid points, the anisotropic grid metric tensor M q is a second-order tensor whose main direction and radius along the main direction define the main direction of the anisotropic mesh and the dimension value along the main direction. Such as figure 2 Shown is the initial anisotropic mesh metric tensor field defined in a s...

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Abstract

The invention discloses a two-dimensional anisotropic grid cell measurement tensor field smoothing method. At present, no good smoothing method for the anisotropic grid measurement tensor exists. Themethod comprises: setting an initial anisotropy grid measurement tensor field of the aircraft wing shape on a triangular background grid of an aircraft wing shape geometric model area; performing logarithm operation on the anisotropic grid measurement tensor on each grid point; and secondly, establishing gradient constraints for limiting the change of the anisotropic grid measurement tensor, and smoothing the initial anisotropic grid measurement tensor field of the aircraft wing shape according to the gradient constraints, so as to establish a smooth transition mathematical model of the anisotropic grid measurement tensor field and obtain a smooth anisotropic grid measurement tensor field. According to the method, the aircraft wing shape measurement tensor field which changes violently isprocessed into the smooth measurement tensor field, so that the anisotropic grid quality and the numerical simulation precision are improved, and the finally generated aircraft wing shape grid units are high in quality and the number of the grid units is minimum.

Description

technical field [0001] The invention relates to a unit size setting method in the pre-processing grid generation process in the field of numerical simulation, in particular to a two-dimensional anisotropic grid unit metric tensor field smoothing method for anisotropic grid generation. Background technique [0002] Mesh generation is a preprocessing process in numerical simulation techniques such as finite element method, finite volume method, and finite difference method. This process divides a continuous geometric area into a combination of finite basic geometric shapes, which are called meshes. Common grid unit types include triangular, quadrilateral, tetrahedral, and hexahedral. The quality and quantity of grid cells directly affect the accuracy and efficiency of numerical calculations. A good grid needs to use as few degrees of freedom as possible to obtain as high numerical calculation accuracy as possible. On the other hand, many numerical simulation problems often ha...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/23G06F30/15G06F111/10
CPCY02T90/00
Inventor 肖周芳田则铭徐岗吴卿
Owner HANGZHOU DIANZI UNIV
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