Scientific Computation

A Computational Differential Geometry Approach to Grid Generation

Authors: Liseikin, Vladimir D.

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  • ISBN 978-3-540-34236-6
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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.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-540-34236-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-540-34235-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-642-07062-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Computational Differential Geometry Approach to Grid Generation
Authors
Series Title
Scientific Computation
Copyright
2007
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-34236-6
DOI
10.1007/3-540-34236-2
Hardcover ISBN
978-3-540-34235-9
Softcover ISBN
978-3-642-07062-4
Series ISSN
1434-8322
Edition Number
2
Number of Pages
XIV, 294
Number of Illustrations
78 b/w illustrations, 3 illustrations in colour
Topics