Patrick Knupp, Stanly Steinberg

Fundamentals of Grid Generation (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 304
• Erscheinungstermin: 17. Dezember 2020
• Englisch
• ISBN-13: 9780429610820
• Artikelnr.: 60576345

Autorenporträt

Patrick Knupp Ecodynamic Research Associates, Albuquerque, New Mexico. Stanly Steinberg University of New Mexico, Albuquerque, New Mexico

Inhaltsangabe

Preliminaries. Application to Hosted Equations. Grid Generation on the
Line. Vector Calculus and Differential Geometry. Classical Planar Grid
Generation. Variational Planar Grid Generation. Tensor Analysis and
Transformation Relationships. Advanced Planar Variational Grid Generation.
Grid Generation in Three Dimensions. Variational Grid Generation on Curves
and Surfaces. Contravariant Functionals: Alignment and Diagonalization.
Tensor Coefficients. Fortran Code Directory. A Rogue's Gallery of Grids.