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Multipole BEM Processing Method Of Singular Integral

Posted on:2011-03-26Degree:MasterType:Thesis
Country:ChinaCandidate:L Y YinFull Text:PDF
GTID:2132360308971770Subject:Materials Processing Engineering
Abstract/Summary:PDF Full Text Request
The field of engineering calculation precision for problem solving and large scale of operations and the new frontiers in place have been laied aside in the daiy of life. In the current treatment multipole BEM singularity treatment-son partition method, on the basis of the bold presents a new treatment method of intrinsic transform method, intrinsic transform method applied in multipole bem method, the processing of multipole bem singularity, further reform, in order to adapt to the large-scale structure of calculation and improve accuracy of numerical computation.his paper summarizes the boundary element method development history, present situation and the development trend in recent years, Elastic multipole bem and elastic multipole bem contact problem of the basic theory, And in the existing multipole bem singularity subunits segmentation method of handling method based on the transformation of coordinates, by establishing the connotations and numerical calculation formula, the basic theory and the boundary element under local coordinate system, establish the border multipole bem new theoretical framework and calculation formula for calculating the suitable scale development of multipole bem FORTRAN source program is analyzed, and the comprehensive reform, the traditional calculation structure. To further improve the calculation accuracy for the large-scale engineering calculation, provide powerful support for the math, thus further promote the multipole bem and laid a foundation. Numerical experiments show that intrinsic transform method is more than the child partition method can solve multipolebem the singularity of the problem.The following conclusions can be obtained by:1. On the same number of elements, under the condition of the calculation method of transformation, the implication is obviously higher than precision segmentation method subunits.2. In the same situation, combine solving scale than zijun transformation method of calculating the partition short time.3. Intrinsic transform method is more can solve the multipole bem the singularity of the problem.
Keywords/Search Tags:Multipole BEM, The boundary element method, Subunits segmentation method, Intrinsic transform method
PDF Full Text Request
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