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三次元領域のボロノイ多面体要素への自動要素分割
三次元領域のボロノイ多面体要素への自動要素分割
Automatic Discretizing of a Three-Dimensional Domain into Voronoi Polyhedron Elements
小林, 睦夫
前川, 博
近藤, 泰平
日本機械学会
本文データは学会の許諾に基づくCiNiiからの複製である
Voronoi
Finite Element
Automatic Discretizing
Three-Dimensional Domain
Parallel Process
Numerical Analysis
When a partial differential equation is solved numerically, it is usual to discretize the calculating domain into many elements by elaborate handwork. For this discretizing, we devised a new method with which the three-dimensional domain can be divided automatically into Voronoi polyhedron elements around arbitrary nuclear points. This method is described in detail giving an example. When Voronoi polyhedron elements are used, the various differential equations can be easily transformed into simultaneous algebraic equations for each of the nuclear points, for which parallel processing can be done more speedily and accurately. Moreover, the Voronoi polyhedron element table has possibilities of future growth; it can be used directly as an analytical method of solving a partial differential equation and it can be transformed into an ordinary tetrahedron element table.
日本機械学会
1991-05
jpn
journal article
http://hdl.handle.net/10191/5735
https://niigata-u.repo.nii.ac.jp/records/3736
http://ci.nii.ac.jp/naid/110002389799
AN00187441
03875016
日本機械学会論文集. B編
日本機械学会論文集. B編
57
537
1681
1688
https://niigata-u.repo.nii.ac.jp/record/3736/files/9_0033.pdf
application/pdf
625.7 kB
2019-07-30