A Computational Differential Geometry Approach to Grid Generation

  • Vladimir D. Liseikin

Part of the Scientific Computation book series (SCIENTCOMP)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Geometric Background to Grid Technology

    1. Front Matter
      Pages 1-3
    2. Pages 55-60
  3. Algorithms and Applications of Advanced Grid Technology

    1. Front Matter
      Pages 113-115
    2. Pages 161-218
  4. Back Matter
    Pages 279-293

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.


Beltramian Equations Grid Generation Quasiconformal Grids Riemannian Geometry Scientific Computing algorithms computational fluid dynamics

Authors and affiliations

  • Vladimir D. Liseikin
    • 1
  1. 1.Institute of Computational TechnologiesRussian Academy of ScienceNovosibirskRussia

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-34235-9
  • Online ISBN 978-3-540-34236-6
  • Series Print ISSN 1434-8322
  • Buy this book on publisher's site