Skip to main content
SpringerLink
Log in
Book cover

Grid Generation Methods

  • Book
  • © 2010

Overview

Authors:
  1. Vladimir D. Liseikin

    1. Inst. Computational Technologies, Russian Academy of Sciences, Novosibirsk, Russian Federation

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Scientific Computation (SCIENTCOMP)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (11 chapters)

  1. Front Matter

    Pages I-XVII
    Download chapter PDF

  2. General Considerations

    • Vladimir D. Liseikin
    Pages 1-29

  3. Coordinate Transformations

    • Vladimir D. Liseikin
    Pages 31-66

  4. Grid Quality Measures

    • Vladimir D. Liseikin
    Pages 67-99

  5. Stretching Method

    • Vladimir D. Liseikin
    Pages 101-131

  6. Algebraic Grid Generation

    • Vladimir D. Liseikin
    Pages 133-154

  7. Grid Generation Through Differential Systems

    • Vladimir D. Liseikin
    Pages 155-193

  8. Dynamic Adaptation

    • Vladimir D. Liseikin
    Pages 195-226

  9. Variational Methods

    • Vladimir D. Liseikin
    Pages 227-259

  10. Curve and Surface Grid Methods

    • Vladimir D. Liseikin
    Pages 261-292

  11. Comprehensive Method

    • Vladimir D. Liseikin
    Pages 293-332

  12. Unstructured Methods

    • Vladimir D. Liseikin
    Pages 333-362

  13. Back Matter

    Pages 363-390
    Download chapter PDF
Back to top

Keywords

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.

Authors and Affiliations

  • Inst. Computational Technologies, Russian Academy of Sciences, Novosibirsk, Russian Federation

    Vladimir D. Liseikin

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation