© 2010

Grid Generation Methods


  • Completely revised edition of this outstanding introduction into the most popular technologies for generating structured, unstructured and adaptive grids

  • Now with detailed description of monitor metrics in Beltrami and diffusion equations

  • Contains one of the most promising techniques of adaptive grid generation, based on the application of inverted Beltrami equations with respect to control metrics


Part of the Scientific Computation book series (SCIENTCOMP)

Table of contents

  1. Front Matter
    Pages I-XVII
  2. Vladimir D. Liseikin
    Pages 1-29
  3. Vladimir D. Liseikin
    Pages 31-66
  4. Vladimir D. Liseikin
    Pages 67-99
  5. Vladimir D. Liseikin
    Pages 101-131
  6. Vladimir D. Liseikin
    Pages 133-154
  7. Vladimir D. Liseikin
    Pages 155-193
  8. Vladimir D. Liseikin
    Pages 195-226
  9. Vladimir D. Liseikin
    Pages 227-259
  10. Vladimir D. Liseikin
    Pages 261-292
  11. Vladimir D. Liseikin
    Pages 293-332
  12. Vladimir D. Liseikin
    Pages 333-362
  13. Back Matter
    Pages 363-390

About this book


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.


Alignment Grid generation adaptive grid beltrami equation cluster control metrics grid inverted form of Bel mesh generation monitor metrics numerical grid structured grid structured grid method unstructured grid unstructured grid method

Authors and affiliations

  1. 1.Inst. Computational TechnologiesRussian Academy of SciencesNovosibirskRussian Federation

Bibliographic information

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IT & Software