Thompson / Soni / Weatherill Handbook of Grid Generation

1. Auflage 2010
ISBN: 978-1-4200-5034-9
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 1136 Seiten

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.

Autoren/Hrsg.

Thompson, Joe F.

Soni, Bharat K.

Weatherill, Nigel P.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

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 Generation Systems
Algebraic Generation
Elliptic Generation
Hyperbolic Generation
Delaunay Tetrahedral Generation
Advancing-Front Unstructured Generation
Hexahedral Generation
Structured Surface Grids
Unstructured Surface Grids
Supporting Technology
Available Codes