Fundamentals of Grid Generation
eBook - PDF

Fundamentals of Grid Generation

Stanley Steinberg

  1. 304 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Fundamentals of Grid Generation

Stanley Steinberg

Book details
Table of contents
Citations

About This Book

Fundamentals of Grid Generation is an outstanding text/reference designed to introduce students in applied mathematics, mechanical engineering, and aerospace engineering to structured grid generation. It provides excellent reference material for practitioners in industry, and it presents new concepts to researchers. Readers will learn what boundary-conforming grids are, how to generate them, and how to devise their own methods. The text is written in a clear, intuitive style that doesn't get bogged down in unnecessary abstractions. Topics covered include planar, surface, and 3-D grid generation; numerical techniques; solution adaptivity; the finite volume approach to discretization of hosted equations; concepts from elementary differential geometry; and the transformation of differential operators to general coordinate systems. The book also reviews the literature on algebraic, conformal, orthogonal, hyperbolic, parabolic, elliptic, biharmonic, and variational approaches to grid generation. This unique volume closes with the author's original methods of variational grid generation.

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Information

Publisher
CRC Press
Year
2020
ISBN
9780429610820
Edition
1
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Dedication
  6. Preface
  7. Table of Contents
  8. Chapter 1: Preliminaries
  9. Chapter 2: Application to Hosted Equations
  10. Chapter 3: Grid Generation on the Line
  11. Chapter 4: Vector Calculus and Differential Geometry
  12. Chapter 5: Classical Planar Grid Generation
  13. Chapter 6: Variational Planar Grid Generation
  14. Chapter 7: Tensor Analysis and Transformation Relationships
  15. Chapter 8: Advanced Planar Variational Grid Generation
  16. Chapter 9: Grid Generation in Three Dimensions
  17. Chapter 10: Variational Grid Generation on Curves and Surfaces
  18. Chapter 11: Contravariant Functionals: Alignment, Diagonalization, and Rotation
  19. Bibliography
  20. Appendix A: Tensor Coefficients
  21. Appendix B: Fortran Code Directory
  22. Appendix C: A Rogue’s Gallery of Grids
  23. Index
Citation styles for Fundamentals of Grid Generation

APA 6 Citation

Steinberg, S. (2020). Fundamentals of Grid Generation (1st ed.). CRC Press. Retrieved from https://www.perlego.com/book/3806029 (Original work published 2020)

Chicago Citation

Steinberg, Stanley. (2020) 2020. Fundamentals of Grid Generation. 1st ed. CRC Press. https://www.perlego.com/book/3806029.

Harvard Citation

Steinberg, S. (2020) Fundamentals of Grid Generation. 1st edn. CRC Press. Available at: https://www.perlego.com/book/3806029 (Accessed: 25 June 2024).

MLA 7 Citation

Steinberg, Stanley. Fundamentals of Grid Generation. 1st ed. CRC Press, 2020. Web. 25 June 2024.