Handbook of Grid Generation

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. TOC:Current Practice: Block Structured Grids.- Unstructured Grids.- Cartesian Grids.- Overset Grids.- Hybrid Grids.- Adaptive and Moving Grids. System Implementation: Block Structured Grids.- Unstructured Grids.- Cartesian Grids.- Overset Grids.- Hybrid Grids.- User Interfaces.- Grid Automation.- CAD Interfaces.- Grid Visualization.- MDO Coupling. Grid Generatin Systems: Algebraic Generation.- Elliptic Generation.- Hyperbolic Generation.- Delauney Tetrahedral Generation.- Hexahedral Generation.- Structured Surface Grids.- Unstructured Surface Grids. Discrete Representations: Finite Element Formulations.- Finite Volume Formulations.- Finite Difference Formulations.- Boundary Element Formulations.- "Gridless" Formulations.- Boundary and Interface Conditions. Dynamic Coupling: Structured Grid Redistribution.- Structured Grid Refinement.- Unstructured Grid Redistribution.- Unstructured Grid refinement.- Solution Representation Refinement.- Moving Boundaries and Interfaces.- Supporting Technology.- Available Codes.