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Fundamentals of Grid Generation - P.M. Knupp

Fundamentals of Grid Generation

Hardcover Published: 20th October 1993
ISBN: 9780849389870
Number Of Pages: 304

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Fundamentals of Grid Generation is an outstanding text/reference designed to introduce students in applied mathematics, mechanical engineering, and aerospace engineering to structured grid generation. It provides excellent reference material for practitioners in industry, and it presents new concepts to researchers. Readers will learn what boundary-conforming grids are, how to generate them, and how to devise their own methods.
The text is written in a clear, intuitive style that doesn't get bogged down in unnecessary abstractions. Topics covered include planar, surface, and 3-D grid generation; numerical techniques; solution adaptivity; the finite volume approach to discretization of hosted equations; concepts from elementary differential geometry; and the transformation of differential operators to general coordinate systems. The book also reviews the literature on algebraic, conformal, orthogonal, hyperbolic, parabolic, elliptic, biharmonic, and variational approaches to grid generation. This unique volume closes with the author's original methods of variational grid generation.

Preliminariesp. 1
Application to Hosted Equationsp. 25
Grid Generation on the Linep. 45
Vector Calculus and Differential Geometryp. 65
Classical Planar Grid Generationp. 89
Variational Planar Grid Generationp. 119
Tensor Analysis and Transformation Relationshipsp. 143
Advanced Planar Variational Grid Generationp. 159
Grid Generation in Three Dimensionsp. 181
Variational Grid Generation on Curves and Surfacesp. 195
Contravariant Functionals: Alignment, Diagonalization, and Rotationp. 221
Bibliographyp. 237
Appendix A Tensor Coefficientsp. 251
Appendix B Fortran Code Directoryp. 255
Appendix C A Rogue's Gallery of Gridsp. 261
Indexp. 283
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780849389870
ISBN-10: 0849389879
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 304
Published: 20th October 1993
Publisher: CRC PR INC
Country of Publication: US
Dimensions (cm): 26.54 x 18.49  x 2.39
Weight (kg): 0.73
Edition Number: 1