Study on Appropriate Decomposition Procedure of Integral Domain for High Accurate Numerical Integration of Interactive Terms in Finite Element Mesh Superposition Method by Auto-Mesh Generation

• SANDO Atsushi

  Wakayama National College of Technology

Bibliographic Information

Other Title

• 自動メッシュ分割を用いて重合メッシュ法の連成項を高精度に数値積分するための積分範囲の適切な分割方法

Abstract

Accurate numerical integration technique for a discontinuous integrand by the Delaunay decomposition has been proposed to calculate the interactive terms in the 2-D finite element mesh superposition method (FEMS). In this paper, the preprocessing for appropriate triangulation or tetrahedralization as an alternative to swapping algorithm is proposed for 2-D and 3-D FEMS. All vertices are categorized into the groups which are defined for every global element. All decomposed integral domains have no discontinuous integrand because the groups are composed along the boundaries of global elements. In the first two 2-D examples, we indicate that the proposed technique can apply the superimposed models which have not been able to decompose the integral domains adequately. In the third example, we apply the proposed technique to 3-D practical superimposed model.

Journal

• Transactions of the Japan Society for Computational Engineering and Science

  Transactions of the Japan Society for Computational Engineering and Science 2011 (0), 20110011-20110011, 2011-12-06

  JAPAN SOCIETY FOR COMPUTATIONAL ENGINEERING AND SCIENCE

Keywords

• Finite Element Mesh Superposition Method
• Delaunay decomposition
• Numerical integration
• Gaussian quadrature
• Tetrahedralization

Details

• CRID: 1390288469025538048
• NII Article ID: 130008056298
• DOI: 10.11421/jsces.2011.20110011
• ISSN: 13478826
• Text Lang: ja
• Data Source:
  • JaLC
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed