Overview
- 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
Part of the book series: Scientific Computation (SCIENTCOMP)
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Table of contents (7 chapters)
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Front Matter
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Geometric Background to Grid Technology
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Front Matter
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Algorithms and Applications of Advanced Grid Technology
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: A Computational Differential Geometry Approach to Grid Generation
Authors: Vladimir D. Liseikin
Series Title: Scientific Computation
DOI: https://doi.org/10.1007/3-540-34236-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Hardcover ISBN: 978-3-540-34235-9Published: 24 August 2006
Softcover ISBN: 978-3-642-07062-4Published: 22 November 2010
eBook ISBN: 978-3-540-34236-6Published: 12 September 2006
Series ISSN: 1434-8322
Series E-ISSN: 2198-2589
Edition Number: 2
Number of Pages: XIV, 294
Number of Illustrations: 78 b/w illustrations, 3 illustrations in colour
Topics: Numerical and Computational Physics, Simulation, Math Applications in Computer Science, Computational Mathematics and Numerical Analysis, Differential Geometry, Mathematical Methods in Physics, Classical and Continuum Physics