13472J/1.128J/2158J/16940J COMPUTATIONAL GEOMETRY Lecture 23 Dr. W. Cho Prof. N.m. Patrikalakis Copyright@2003 Massachusetts Institute of Technology Contents 23 F.E. and B.E. Meshing Algorithms 23.1 General 23.1.1 Finite Element Method(FEM) 23.1.2Mesh 23. 1.3 Some Criteria for a Good Meshin 23. 1.4 Finite Element Analysis in a CAD Environment 23. 1.5 Background Information 222334468 23.1.6 Mesh Conformity 23. 1. 7 Mesh refin 23.2 Mesh Generation Methods 23.2.1 Mapped Mesh Generation (23, 10, 11, 5 10 23.2.2 Topology Decomposition Approach 20, 3 23.2.3 Geometry Decomposition Approach 6, 17, 13 23.2.4 Volume Triangulation - Delaunay Based 7, 15 234 23.2.5 Spatial Enumeration Methods [ 21, 22 15 Bibliography13.472J/1.128J/2.158J/16.940J COMPUTATIONAL GEOMETRY Lecture 23 Dr. W. Cho Prof. N. M. Patrikalakis Copyright c 2003 Massachusetts Institute of Technology Contents 23 F.E. and B.E. Meshing Algorithms 2 23.1 General . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 23.1.1 Finite Element Method (FEM) . . . . . . . . . . . . . . . . . . . . . . 2 23.1.2 Mesh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 23.1.3 Some Criteria for a Good Meshing . . . . . . . . . . . . . . . . . . . . 3 23.1.4 Finite Element Analysis in a CAD Environment . . . . . . . . . . . . . 4 23.1.5 Background Information . . . . . . . . . . . . . . . . . . . . . . . . . . 4 23.1.6 Mesh Conformity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 23.1.7 Mesh Refinement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 23.2 Mesh Generation Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 23.2.1 Mapped Mesh Generation [23, 10, 11, 5] . . . . . . . . . . . . . . . . . 10 23.2.2 Topology Decomposition Approach [20, 3] . . . . . . . . . . . . . . . . 12 23.2.3 Geometry Decomposition Approach [6, 17, 13] . . . . . . . . . . . . . . 13 23.2.4 Volume Triangulation – Delaunay Based [7, 15] . . . . . . . . . . . . . 14 23.2.5 Spatial Enumeration Methods [21, 22] . . . . . . . . . . . . . . . . . . 15 Bibliography 16 1