Thompson J.F., Soni B.K., (eds.) Weatherill N.P. Handbook of Grid Generation

CRC Press LLC, 1998. — 1096 p. — ISBN10: 0849326877, ISBN13: 978-0849326875.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 practitionersForewordPreface: An Elementary Introduction Joe F. Thompson, Bharat K. Soni, and Nigel P. Weatherill
Fundamental Concepts and Approaches Joe F. Thompson and
Nigel P. Weatherill
Block-Structured Grids
ntroduction to Structured Grids Joe F. Thompson
Mathematics of Space and Surface Grid Generation Zahir U.A. Warsi
Transfinit e Interpolation (TFI) Generation Systems Robert E. Smith
Elliptic Generation Systems Stefan P. Spekreijse
Hyperbolic Methods for Surface and Field Grid Generation
William M. Chan
Boundary Orthogonality in Elliptic Grid Generation
Ahmed Khamayseh, Andrew Kuprat, and C. Wayne Mastin
Orthogonal Generation Systems Luís Eça
Harmonic Mappings Sergey A. Ivanenko
Surface Grid Generation Systems A hmed Khamayseh and Andrew Kuprat
A New Approach to Automated Multiblock Decomposition for Grid Generation: A Hypercube++ Approach Sangkun Park and Kunwoo Lee
Composite Overset Structu red Grids Robert L. Meakin
Parallel Multiblock Structured Grids Jochem Häuser, Peter R. Eiseman,
Yang Xia, and Zheming Cheng
Block-Structured Applications Timothy Gatzke
Unstructured Grids
ntroduction to Unstructured Grids Nigel P. Weatherill
Data Structures for Unstructured Mesh Generation L uca Formaggia
Automatic Grid Generation Using Spatially Based Trees
Mark S. Shephard, Hugues L. de Cougny, Robert M. O'Bara, and Mark W. Beall
Delaunay-Voronoï Methods Timothy J. Baker
Advancing Front Grid Generation J. Peraire, J. Peiró, and K. Morgan
Unstructured Grid Generation Using Automatic
Point Insertion and Local Reconnection David L. Marcum
Surface Grid Generation J. Peiró
Nonisotropic Grids Paul Louis George and Frédéric Hecht
Quadrilateral and Hexahedral Element Meshes Robert Schn eiders
Adapt ive Cartesian Mesh Generation Michael J. Aftosmis, Marsha J. Berger, and John E. Melton
Hybrid Grids Jonathon A. Shaw
Parallel Unstructured Grid Generation Hugues L. de Cougny and Mark S. Shephard
Hybrid Grids and Their Applications Yannis Kallinderis
Unstructured Grids: Procedures and Applications Nigel P. Weatherill
Surface Definition
ntroduction to Surface Definition Bharat K. Soni
Spline Geometry: A Numerical Analysis View David R. Ferguson
Computer-Aided Geometric Design Gerald Farin
Computer-Aided Geometric Design Techniques for Surface Grid Generation Bernd Hamann, Brian Jean, and Anshuman Razdan
NURBS in Structured Grid Generation Tzu-Yi Yu and Bharat K. Soni
NASA IGES And NASA-IGES NURBS Only Standard Austin L. Evans and David P. Miller
Adaptation and Quality
ntroduction to Adaptation and Quality Bharat K. Soni
Truncation Error on Structured Grids C. Wayne Mastin
Grid Optimization Methods for Quality Improvement and
Adaptation Olivier-Pierre Jacquotte
Dynamic Grid Adaptation and Grid Quality D. Scott McRae and
Kelly R. Laflin
Grid Control and Adaptation O. Hassan and E. J. Probert
ariational Methods of Construction of Optimal Grids O. B. Khai rullina,
A. F. Sidorov, and O. V. Ushakova
Moving Grid Techniques Paul A. Zegeling
Appendix A: Grid Software and Configurations Bharat K. Soni
Appendix B: Grid Configurations Bharat K. Soni