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Network deformation interpolation method, system and medium based on novel radial basis function

A grid deformation and interpolation method technology, applied in the direction of electrical digital data processing, special data processing applications, instruments, etc., can solve the problem that the interpolation result of the radial basis function is not smooth enough, so as to solve the problem that the interpolation result is not smooth enough and converges speed up effect

Inactive Publication Date: 2018-07-13
CHINA ACAD OF AEROSPACE AERODYNAMICS
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Problems solved by technology

[0003] The technical problem solved by the present invention is: to overcome the deficiencies of the prior art, to provide a grid deformation interpolation method, system and medium based on a new radial basis function, and to solve the problem that the interpolation result of the existing radial basis function is not smooth enough question

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  • Network deformation interpolation method, system and medium based on novel radial basis function
  • Network deformation interpolation method, system and medium based on novel radial basis function
  • Network deformation interpolation method, system and medium based on novel radial basis function

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Embodiment Construction

[0025] Below in conjunction with accompanying drawing, the present invention is described in further detail:

[0026] method embodiment

[0027] figure 1 It is a flow chart of the grid deformation interpolation method based on the novel radial basis function of the present invention. like figure 1 As shown, the grid deformation interpolation method based on the new radial basis function includes the following steps:

[0028] Step 1: Obtain the weight of each first grid point according to the displacement of each first grid point in the preset deformed first grid and the new radial basis function corresponding to each first grid point coefficient, the weight coefficient of each first grid point is multiplied by the new radial basis function corresponding to each first grid point and summed to obtain an interpolation function;

[0029] Step 2: Substituting the position coordinates of each second grid point in the preset deformed second grid into the interpolation function in...

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Abstract

The invention discloses a network deformation interpolation method, system and medium based on a novel radial basis function. The method comprises the following steps of 1, obtaining a weight coefficient of each first grid point according to each first grid point displacement in a preset deformation first grid and a novel radial basis function corresponding to each grid point, multiplying and summating the weight coefficient of each first grid point and the novel radial basis function corresponding to each first grid point to obtain an interpolation function; 2, adopting a function value obtained by substituting position coordinates of each second grid point in a preset deformation second grid into the interpolation function in step 1 as displacement corresponding to each second grid point. The problem that the existing radial basis function interpolation action result is not smooth enough is solved.

Description

technical field [0001] The invention relates to the field of grid deformation, in particular to a grid deformation interpolation method and system based on a novel radial basis function. Background technique [0002] The current mainstream radial basis function is the compact radial basis function, that is, the value of the function is 0 outside a given radius of action, and its representative function is the Wendland function series (C0, C2, C4, C6). Due to the limited scope, the class function has the advantage of reducing the amount of computation when solving the coefficients. However, this kind of function decays too fast near the reference point, and cannot meet the requirements of interpolation smoothness when the radius of action is small. This is because the value of the radial basis function decreases with the increase of the radius. For the interpolation point located between two reference points, when the function decays too fast, it cannot correctly reflect the...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/15G06F30/20
Inventor 郭力吕计男
Owner CHINA ACAD OF AEROSPACE AERODYNAMICS
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