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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 sys… Plus…

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2010

ISBN: 3642070620

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A Computational Differential Geometry Approach to Grid Generation

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.

Informations détaillées sur le livre - A Computational Differential Geometry Approach to Grid Generation


EAN (ISBN-13): 9783642070624
ISBN (ISBN-10): 3642070620
Version reliée
Livre de poche
Date de parution: 2010
Editeur: Springer Berlin Heidelberg

Livre dans la base de données depuis 2012-05-23T07:16:15+02:00 (Paris)
Page de détail modifiée en dernier sur 2022-03-30T22:28:30+02:00 (Paris)
ISBN/EAN: 9783642070624

ISBN - Autres types d'écriture:
3-642-07062-0, 978-3-642-07062-4
Autres types d'écriture et termes associés:
Auteur du livre: erl vladimir
Titre du livre: differential geometry, computational geometry


Données de l'éditeur

Auteur: Vladimir D. Liseikin
Titre: Scientific Computation; A Computational Differential Geometry Approach to Grid Generation
Editeur: Springer; Springer Berlin
294 Pages
Date de parution: 2010-11-22
Berlin; Heidelberg; DE
Imprimé / Fabriqué en
Langue: Anglais
181,89 € (DE)
186,99 € (AT)
201,00 CHF (CH)
POD
XIV, 294 p. 81 illus., 3 illus. in color.

BC; Hardcover, Softcover / Physik, Astronomie/Theoretische Physik; Mathematische Physik; Verstehen; Beltramian Equations; Grid Generation; Quasiconformal Grids; Riemannian Geometry; Scientific Computing; algorithms; computational fluid dynamics; Theoretical, Mathematical and Computational Physics; Mathematical Applications in Computer Science; Computational Mathematics and Numerical Analysis; Differential Geometry; Mathematical Methods in Physics; Classical and Continuum Physics; Theoretische Informatik; Numerische Mathematik; Differentielle und Riemannsche Geometrie; Klassische Mechanik; BB

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 gives a detailed treatment of applications of geometric methods to advanced grid technology. It focuses on and describes a comprehensive approach 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. In this second edition the author takes a more detailed and practice-oriented approach towards explaining how to implement the method by: Employing geometric and numerical analyses of monitor metrics as the basis for developing efficient tools for controlling grid properties. Describing new grid generation codes based on finite differences for generating both structured and unstructured surface and domain grids. Providing examples of applications of the codes to the generation of adaptive, field-aligned, and balanced grids, to the solutions of CFD and magnetized plasmas problems. The book addresses both scientists and practitioners in applied mathematics and numerical solution of field problems.
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 Includes supplementary material: sn.pub/extras

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