DOI QR코드

DOI QR Code

Study On The Element Free Galerkin Method Using Bubble Packing Technique

버블패킹기법을 이용한 무요소 갤러킨법에 관한 연구

  • Published : 2000.10.01

Abstract

The meshing of the domain has long been the major bottleneck in performing the finite element analysis. Research efforts which are so-called meshfree methods have recently been directed towards eliminating or at least easing the requirement for meshing of the domain. In this paper, a new meshfree method for solving nonlinear boundary value problem, based on the bubble packing technique and Delaunay triangle is proposed. The method can be efficiently implemented to the problems with singularity by using formly distributed nodes.

Keywords

Meshfree;Element Free Galerkin Method;Moving Least Square Approximation;Bubble Packing Technique

References

  1. Winters & Cliff, 1979, 'A Finite Element Study in Driven Laminar Flow in a Square Cavity,' Rept. No. AERE-R9444, UK Atomic Energy Authority
  2. Ghia U., Ghia K.N. and Shin C.T. , 1982, 'High-Re solution for Incompressible Flow Using the Navier Stokes Equations and a Multigrid Method,' Journal of Computational Physics, 48, pp. 387-411 https://doi.org/10.1016/0021-9991(82)90058-4
  3. 최유진, 김승조, 1998, '새로운 수치 기법: 요소자유 갤러킨 방법에 관한 연구,' 한국항공우주학회지, 26권 7호, pp. 72-84
  4. Shimada K., Gossard D.C., 1998, 'Automatic Triangular Mesh Generation of Trimmed Parametric Surfaces for Finite Element Analysis,' Computer Aided Geometric Design, 15, pp. 199-222 https://doi.org/10.1016/S0167-8396(97)00037-X
  5. Watson D.F., 1981, 'Computing the N-Dimensional Delaunay Tessellation with Application to Voronoi Polytopes,' The Computer Journal, 24(2), pp. 167-172 https://doi.org/10.1093/comjnl/24.2.167
  6. Reddy J.N., 1982, 'Penalty-Finite-Element Analysis of 3D Navier-Stokes Equations,' Comput .Methods Appl.Mech.Engrg., Vol. 35, pp. 87-106 https://doi.org/10.1016/0045-7825(82)90034-2
  7. Lu Y.Y., Belytschko T. and Gu L., 1994, 'A New Implementation fothe Element Free Galerkin Method,' Comput .Methods Appl.Mech.Engrg., Vol. 113, pp. 397-414 https://doi.org/10.1016/0045-7825(94)90056-6
  8. Belytschko T., Krongauz Y., , Organ D., Fleming M. and Krysl P., 1996, 'Meshless Methods: An overview and Recent Developments,' Comput .Methods Appl.Mech.Engrg., Vol. 139, pp. 3-47 https://doi.org/10.1016/S0045-7825(96)01078-X
  9. 석병호, 송태헌, 임장근, 2000, 'EFGM에서 필수경계조건 처리를 위한 형상함수 수정법,' 대한기계학회논문집 A, 제24권 제3호, pp. 803-809
  10. Duarte C.A., 1995, 'A Review of Some Meshless Methods to Solve Partial Differential Equations,' Technical report 95-06, TICAM, University of Texas at Austin
  11. Belytschko T., Lu Y.Y. and Gu L., 1994, 'Element Free Galerkin Methods,' Int. J. Numerical Methods Engrg., Vol. 37, pp. 229-256 https://doi.org/10.1002/nme.1620370205