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Grid Generation Methods

  • Book
  • © 1999

Overview

Authors:
  1. Vladimir Liseikin

    1. Institute of Computational Technologies, Siberian Branch of the Russian Academy of Sciences, Novosibirsk 90, Russia

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  • 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)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XVI
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  2. General Considerations

    • Vladimir Liseikin
    Pages 1-29

  3. Coordinate Transformations

    • Vladimir Liseikin
    Pages 31-65

  4. Grid Quality Measures

    • Vladimir Liseikin
    Pages 67-97

  5. Stretching Method

    • Vladimir Liseikin
    Pages 99-129

  6. Algebraic Grid Generation

    • Vladimir Liseikin
    Pages 131-153

  7. Grid Generation Through Differential Systems

    • Vladimir Liseikin
    Pages 155-193

  8. Dynamic Adaptation

    • Vladimir Liseikin
    Pages 195-225

  9. Variational Methods

    • Vladimir Liseikin
    Pages 227-258

  10. Curve and Surface Grid Methods

    • Vladimir Liseikin
    Pages 259-288

  11. Comprehensive Method

    • Vladimir Liseikin
    Pages 289-312

  12. Unstructured Methods

    • Vladimir Liseikin
    Pages 313-341

  13. Back Matter

    Pages 343-363
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Keywords

About this book

Grid generation codes represent an indispensable tool for solving field prob­ lems in nearly all areas of applied mathematics. The use of these grid codes significantly enhances the productivity and reliability of the numerical analy­ sis of problems with complex geometry and complicated solutions. The science of grid generation is rather young and is still growing fast; new developments are continually occurring in the fields of grid methods, codes, and practical applications. Therefore there exists an evident need of students, researchers, and practitioners in applied mathematics for new books which coherently complement the existing ones with a description of new developments in grid methods, grid codes, and the concomitant areas of grid technology. The objective of this book is to give a clear, comprehensive, and easily learned description of all essential methods of grid generation technology for two major classes of grids: structured and unstructured. These classes rely on two somewhat opposite basic concepts. The basic concept of the former class is adherence to order and organization, while the latter is based on the absence of any restrictions. The present monograph discusses the current state of the art in methods of grid generation and describes new directions and new techniques aimed at the enhancement of the efficiency and productivity of the grid process. The emphasis is put on mathematical formulations, explanations, and examples of various aspects of grid generation.

Authors and Affiliations

  • Institute of Computational Technologies, Siberian Branch of the Russian Academy of Sciences, Novosibirsk 90, Russia

    Vladimir Liseikin

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