经典网格生成书籍.pdf
Mesh Generation
Mark Filipiak
Table of Contents
1 Introduction 5
1.1 Discretisation and mesh type 6
1.2 Mesh characteristics 6
2 Structured meshes 9
2.1 Boundary-fitted meshes 9
2.2 Problem solution on curved grids 10
2.3 Boundary fitting grids on a single block 11
2.4 Algebraic grid generation: interpolation 11
2.4.1 Transfinite interpolation (TFI)11
2.5 PDE grid generation . 14
2.5.1 Elliptic grid generation. 14
2.6 Implementation in 3D 16
2.7 Other methods. 17
2.7.1 Hyperbolic grid generation 17
2.7.2 Parabolic grid generation. 17
2.8 Multiblock 17
2.8.1 C, O, H grids . 18
2.8.2 Multiblock . 20
2.9 Summary 21
3 Unstructured Meshes . 23
3.1 Mesh requirements for the Finite Element Method23
3.2 Mesh generation methods . 24
3.2.1 Decomposition and mapping 24
3.2.2 Grid based methods 25
3.2.3 Advancing front . 26
3.2.4 Delaunay triangulation 31
3.2.5 Other methods35
3.2.6 Smoothing . 36
4 Adaptive Meshing . 37
4.1 Adaptive meshes37
4.2 Parallel mesh generation 38
5 References . 39 |