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Fundamentals of Grid Generation

DOI link for Fundamentals of Grid Generation

Fundamentals of Grid Generation book

Fundamentals of Grid Generation

DOI link for Fundamentals of Grid Generation

Fundamentals of Grid Generation book

ByPatrick Knupp, Stanly Steinberg
Edition 1st Edition
First Published 1993
eBook Published 18 December 2020
Pub. Location London
Imprint CRC Press
DOI https://doi.org/10.1201/9780138755287
Pages 304
eBook ISBN 9780138755287
Subjects Engineering & Technology
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Knupp, P., & Steinberg, S. (1993). Fundamentals of Grid Generation (1st ed.). CRC Press. https://doi.org/10.1201/9780138755287

ABSTRACT

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.

TABLE OF CONTENTS

chapter 1|23 pages

Preliminaries

chapter 2|20 pages

Application to Hosted Equations

chapter 3|19 pages

Grid Generation on the Line

chapter 4|24 pages

Vector Calculus and Differential Geometry

chapter 5|30 pages

Classical Planar Grid Generation

chapter 6|24 pages

Variational Planar Grid Generation

chapter 7|15 pages

Tensor Analysis and Transformation Relationships

chapter 8|22 pages

Advanced Planar Variational Grid Generation

chapter 9|14 pages

Grid Generation in Three Dimensions

chapter 10|26 pages

Variational Grid Generation on Curves and Surfaces

chapter 11|16 pages

Contravariant Functionals: Alignment, Diagonalization, and Rotation

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