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Fixed node discharge curve approximation and curved surface mesh generation optimizing technology

A grid generation and node technology, applied in image data processing, 3D modeling, instruments, etc., can solve problems such as not considering the influence of surface grid shape

Inactive Publication Date: 2012-12-19
邢学军
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Problems solved by technology

Both optimization methods do not take into account the effect of optimization on the shape of the surface mesh

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  • Fixed node discharge curve approximation and curved surface mesh generation optimizing technology
  • Fixed node discharge curve approximation and curved surface mesh generation optimizing technology
  • Fixed node discharge curve approximation and curved surface mesh generation optimizing technology

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Embodiment Construction

[0069] The body-fitted grid is a structural grid under the body-fitted coordinate system. The so-called body-fitted coordinate system refers to the coordinates in which the shape of the object surface in the flow field and the calculation boundary can coincide with some or all of the coordinate lines in the calculation. Tie. A body-fitted coordinate system can be implemented with an appropriate coordinate mapping. The basic idea of ​​constructing the body-fitted coordinate system is: map the boundary of the object surface on the physical plane and the calculation boundary curve (which can be a single connected area or a multi-connected area) into coordinate lines on the calculation plane through some kind of coordinate mapping, In general, they are mapped into rectangular areas. In order to ensure a complete mapping relationship between the physical plane and the computational plane, the discrete optimization technique for generating a 3D body-fitted grid boundary (usuall...

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Abstract

The invention relates to a fixed node discharge curve approximation and curved surface mesh generation optimizing technology which obviously improves the quality of a curved surface mesh and can be applied to the boundary discrete optimization and visualization technology when generating a body-fitted mesh. The technology comprises the following steps of: (1.1) establishing a curved surface model by a computer according to the curved surface to be analyzed, and determining the curved surface boundary, shape, mesh number and mesh step; (1.2) projecting the curved surface to a plane, generating a two-dimensional body-fitted mesh according to the projection area, and projecting the body-fitted mesh to the original curved surface; (1.3) optimizing the boundary node of the curved surface mesh according to the length maximization rule; (1.4) optimizing the internal node of the curved surface mesh according to the area maximization rule; and (1.5) optimizing the mesh step according to the optimization algorithm defining the mesh step, and finally generating a high-quality curved surface mesh. The technology provided by the invention realizes the boundary discrete optimization in generation of a body-fitted mesh of a complicated boundary as well as the mesh optimization in the visualization technology.

Description

technical field [0001] The invention belongs to the fields of computational geometry, computer graphics, visualization technology, numerical simulation, geological imaging and medical imaging, and its purpose includes two aspects: first, to provide high-quality discrete boundaries when generating body-fitted grids; second, to provide Realistic display grids are available in visualization techniques. Specifically, it involves the space curve approximation of the maximum length criterion, the surface mesh optimization of the maximum area criterion, the minimum distance correction method, the optimization algorithm of the limited grid step size, etc. Background technique [0002] Numerical calculations such as finite element, finite volume, and finite difference require calculations on discrete grid nodes, and the distribution of these discrete grid nodes in the entire calculation area is called a grid. Defining a suitable grid in a given calculation area is a serious matter...

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Application Information

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IPC IPC(8): G06T17/30
Inventor 贾艳艳邢学军陈军强史基安
Owner 邢学军
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