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Grid Generation Methods

  • Book
  • © 2017

Overview

Authors:
  1. Vladimir D. Liseikin

    1. Institute of Computational Technologies, Russian Academy of Sciences Institute of Computational Technologies, Novosibirsk, Russia

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  • Offers a detailed and updated discussion of grid-mapping techniques
  • Includes new chapters devoted to the implementation into numerical codes and application to mechanical, fluid, and plasma related problems
  • Emphasizes the mathematical formulation of various aspects of grid generation methods
  • Includes supplementary material: sn.pub/extras
  • Includes supplementary material: sn.pub/extras

Part of the book series: Scientific Computation (SCIENTCOMP)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. General Considerations

    • Vladimir D. Liseikin
    Pages 1-46

  3. Coordinate Transformations

    • Vladimir D. Liseikin
    Pages 47-85

  4. Grid Quality Measures

    • Vladimir D. Liseikin
    Pages 87-125

  5. Stretching Method

    • Vladimir D. Liseikin
    Pages 127-173

  6. Algebraic Grid Generation

    • Vladimir D. Liseikin
    Pages 175-200

  7. Grid Generation Through Differential Systems

    • Vladimir D. Liseikin
    Pages 201-253

  8. Variational Methods

    • Vladimir D. Liseikin
    Pages 255-291

  9. Curve and Surface Grid Methods

    • Vladimir D. Liseikin
    Pages 293-323

  10. Comprehensive Method

    • Vladimir D. Liseikin
    Pages 325-383

  11. Numerical Implementations of Comprehensive Grid Generators

    • Vladimir D. Liseikin
    Pages 385-419

  12. Control of Grid Properties

    • Vladimir D. Liseikin
    Pages 421-448

  13. Unstructured Methods

    • Vladimir D. Liseikin
    Pages 449-479

  14. Applications of Adaptive Grids to Solution of Problems

    • Vladimir D. Liseikin
    Pages 481-526

  15. Back Matter

    Pages 527-530
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Keywords

About this book

This new edition provides a description of current developments relating to grid methods, grid codes, and their applications to actual problems. Grid generation methods are indispensable for the numerical solution of differential equations. Adaptive grid-mapping techniques, in particular, are the main focus and represent a promising tool to deal with systems with singularities. This 3rd edition includes three new chapters on numerical implementations (10), control of grid properties (11), and applications to mechanical, fluid, and plasma related problems (13). Also the other chapters have been updated including new topics, such as curvatures of discrete surfaces (3). Concise descriptions of hybrid mesh generation, drag and sweeping methods, parallel algorithms for mesh generation have been included too.
This new edition addresses a broad range of readers: students, researchers, and practitioners in applied mathematics, mechanics, engineering, physics and other areas of applications.

Reviews

“Each chapter provides a thorough description of the background of the method under consideration, explains its properties, and makes clear for which type of problem it is suitable. Plenty of carefully designed instructive figures provide examples illustrating the methods’ features. … It is also likely to form an excellent foundation for designing a semester’s set of lectures for a course addressing graduate students.” (Kai Diethelm, Computing Reviews, April, 2018)​

Authors and Affiliations

  • Institute of Computational Technologies, Russian Academy of Sciences Institute of Computational Technologies, Novosibirsk, Russia

    Vladimir D. Liseikin

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