A Computational Differential Geometry Approach to Grid Generation (Scientific Computation) - Erstausgabe

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ISBN/EAN: 3540140085

ISBN - alternative Schreibweisen:
3-540-14008-5, 978-3-540-14008-5
Alternative Schreibweisen und verwandte Suchbegriffe:
Titel des Buches: our generation, generation maybe, springer series synergetics, differential geometry, computational geometry

Daten vom Verlag:

Autor/in: Vladimir D. Liseikin
Titel: Scientific Computation; A Computational Differential Geometry Approach to Grid Generation
Verlag: Springer; Springer Berlin
264 Seiten
Erscheinungsjahr: 2003-08-25
Berlin; Heidelberg; DE
Gedruckt / Hergestellt in Deutschland.
Gewicht: 0,535 kg
Sprache: Englisch
85,59 € (DE)
87,99 € (AT)
106,60 CHF (CH)
Not available, publisher indicates OP

BB; Book; Hardcover, Softcover / Physik, Astronomie/Allgemeines, Lexika; Mathematische Physik; Verstehen; Riemannian geometry; Beltramian Equations; curvature; Quasiconformal Grids; differential geometry; Gaussian curvature; Grid Generation; Scientific Computing; manifold; C; Numerical and Computational Physics, Simulation; Physics and Astronomy; Computational Mathematics and Numerical Analysis; Differential Geometry; Mathematical Methods in Physics; Classical and Continuum Physics; Numerische Mathematik; Differentielle und Riemannsche Geometrie; Mathematische Physik; Klassische Mechanik; BB; BC; EA

The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. In an updated and expanded Second Edition, this monograph gives a detailed treatment based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces.

Geometric methods in grid generation is a fairly recent subject with many applications in scientific computing

So far the literature on the subject is sparse

The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. This monograph describes in detail the eminent role played by differential geometry in grid technology based on mapping. The implementation of the Beltrami operator helps to develop robust multidimensional grid generation codes. The book reviews concepts from Riemannian geometry, applies them to general grids with prescribed properties, and discusses the role of mean and of Gaussian curvature and other geometric characteristics for the Beltrami equations for grid generation. The book also includes numerical codes based on the Beltrami equations. It addresses scientists and practitioners as well as graduate students from applied mathematics, physics, and engineering.