Mechanical Engineers
Aerospace Engineers
Researchers in Grid Generation
Applied Mathematicians
Handbook of Grid Generation addresses the use of grids (meshes) in the numerical solutions of partial differential equations by finite elements, finite volume, finite differences, and boundary elements. Four parts divide the chapters: structured grids, unstructured girds, surface definition, and adaption/quality. An introduction to each section provides a roadmap through the material. This handbook covers :
• Fundamental concepts and approaches
• Grid generation process
• Essential mathematical elements from tensor analysis and differential geometry, particularly relevant to curves and surfaces
• Cells of any shape - Cartesian, structured curvilinear coordinates, unstructured tetrahedra, unstructured hexahedra, or various combinations
• Separate grids overlaid on one another, communicating data through interpolation
• Moving boundaries and internal interfaces in the field
• Resolving gradients and controlling solution error
• Grid generation codes, both commercial and freeware, as well as representative and illustrative grid configurations
Handbook of Grid Generation contains 37 chapters as well as contributions from more than 100 experts from around the world, comprehensively evaluating this expanding field and providing a fundamental orientation for practitioners.
Foreword
Contributors
Acknowledgments
Preface : An Elementary Introduction
Chapter 1 : Fundamental Concepts and Approaches
Part 1 : Block-Structured Grids
Chapter 2 : Mathematics of Space and Surface Grid Generation
Chapter 3 : Transfinite Interpolation (TFI) Generation Systems
Chapter 4 : Elliptic Generation Systems
Chapter 5 : Hyperbolic Methods for Surface and Field Grid Generation
Chapter 6 : Boundary Orthogonality in Elliptic Grid Generation
Chapter 7 : Orthogonal Generation Systems
Chapter 8 : Harmonic Mappings
Chapter 9 : Surface Grid Generation Systems
Chapter 10 : A New Approach to Automated Multiblock Decomposition for Grid Generation : A Hypercube Approach
Chapter 11 : Composite Overset Structured Grids
Chapter 12 : Parallel Multiblock Structured Grids
Chapter 13 : Block-Structured Applications
Part 2 : Unstructured Grids
Chapter 14 : Data Structures for Unstructured Mesh Generation
Chapter 15 : Automatic Grid Generation Using Spatially Based Trees
Chapter 16 : Delaunay-Vorono%u1EC9 Methods
Chapter 17 : Advancing Front Grid Generation
Chapter 18 : Unstructured Grid Generation Using Automatic Point Insertion and Local Reconnection
Chapter 19 : Surface Grid Generation
Chapter 20 : Nonisotropic Grids
Chapter 21 : Quadrilateral and Hexahedral Element Meshes
Chapter 22 : Adaptive Cartesian Mesh Generation
Chapter 23 : Hybrid Grids
Chapter 24 : Parallel Unstructured Grid Generation
Chapter 25 : Hybrid Grids and Their Applications
Chapter 26 : Unstructured Grids : Procedures and Applications
Part 3 : Surface Definition
Chapter 27 : Spline Geometry : A Numerical Analysis View
Chapter 28 : Computer-Aided Geometric Design
Chapter 29 : Computer-Aided Geometric Design Techniques for Surface Grid Generation
Chapter 30 : NURBS in Structured Grid Generation
Chapter 31 : NASA IGES And NASA-IGES NURBS Only Standard
Part 4 : Adaptation and Quality
Chapter 32 : Truncation Error on Structured Grids
Chapter 33 : Grid Optimization Methods for Quality Improvement and Adaptation
Chapter 34 : Dynamic Grid Adaptation and Grid Quality
Chapter 35 : Grid Control and Grid Quality
Chapter 36 : Variational Methods of Construction of Optimal Grids
Chapter 37 : Moving Grid Techniques
Appendix A : Grid Software and Configurations
Appendix B : Grid Configurations
Index
