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Grid Generation Methods

  • Vladimir Liseikin

Part of the Scientific Computation book series (SCIENTCOMP)

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Vladimir Liseikin
    Pages 1-29
  3. Vladimir Liseikin
    Pages 31-65
  4. Vladimir Liseikin
    Pages 67-97
  5. Vladimir Liseikin
    Pages 99-129
  6. Vladimir Liseikin
    Pages 131-153
  7. Vladimir Liseikin
    Pages 155-193
  8. Vladimir Liseikin
    Pages 195-225
  9. Vladimir Liseikin
    Pages 227-258
  10. Vladimir Liseikin
    Pages 259-288
  11. Vladimir Liseikin
    Pages 289-312
  12. Vladimir Liseikin
    Pages 313-341
  13. Back Matter
    Pages 343-363

About this book

Introduction

This book is an introduction to structured and unstructured grid methods in scientific computing, addressing graduate students, scientists as well as practitioners. Basic local and integral grid quality measures are formulated and new approaches to mesh generation are reviewed. In addition to the content of the successful first edition, a more detailed and practice oriented description of monitor metrics in Beltrami and diffusion equations is given for generating adaptive numerical grids. Also, new techniques developed by the author are presented, in particular a technique based on the inverted form of Beltrami’s partial differential equations with respect to control metrics. This technique allows the generation of adaptive grids for a wide variety of computational physics problems, including grid clustering to given function values and gradients, grid alignment with given vector fields, and combinations thereof. Applications of geometric methods to the analysis of numerical grid behavior as well as grid generation based on the minimization of functionals of smoothness, conformality, orthogonality, energy, and alignment complete the second edition of this outstanding compendium on grid generation methods.

Keywords

Adaptation Algebra Grid generation methods Grids computational physics differential equation mechanical engineering partial differential equation scientific computing transformation

Authors and affiliations

  • Vladimir Liseikin
    • 1
  1. 1.Institute of Computational TechnologiesSiberian Branch of the Russian Academy of SciencesNovosibirsk 90Russia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03949-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-03951-9
  • Online ISBN 978-3-662-03949-6
  • Series Print ISSN 1434-8322
  • Buy this book on publisher's site
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