Semi-Lagrangian Advection Methods and Their Applications in Geoscience
eBook - ePub

Semi-Lagrangian Advection Methods and Their Applications in Geoscience

  1. 624 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Semi-Lagrangian Advection Methods and Their Applications in Geoscience

About this book

Semi-Lagrangian Advection Methods and Their Applications in Geoscience provides a much-needed resource on semi-Lagrangian theory, methods, and applications. Covering a variety of applications, the book brings together developments of the semi-Lagrangian in one place and offers a comparison of semi-Lagrangian methods with Eulerian-based approaches. It also includes a chapter dedicated to difficulties of dealing with the adjoint of semi-Lagrangian methods and illustrates the behavior of different schemes for different applications. This allows for a better understanding of which schemes are most efficient, stable, consistent, and likely to introduce the minimum model error into a given problem.Beneficial for students learning about numerical approximations to advection, researchers applying these techniques to geoscientific modeling, and practitioners looking for the best approach for modeling, Semi-Lagrangian Advection Methods and Their Applications in Geoscience fills a crucial gap in numerical modeling and data assimilation in geoscience.- Provides a single resource for understanding semi-Lagrangian methods and what is involved in its application- Includes exercises and codes to supplement learning and create opportunities for practice- Includes coverage of adjoints, examining the advantages and disadvantages of different approaches in multiple coordinate systems and different discretizations- Includes links to numerical datasets and animations to further enhance understanding

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Yes, you can access Semi-Lagrangian Advection Methods and Their Applications in Geoscience by Steven J. Fletcher in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Geophysics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Elsevier
Year
2019
Print ISBN
9780128172223
eBook ISBN
9780128172230
Topic
Physical Sciences
Subtopic
Geophysics

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Chapter 1: Introduction
  6. Chapter 2: Eulerian modeling of advection problems
  7. Chapter 3: Stability, consistency, and convergence of Eulerian advection based numerical methods
  8. Chapter 4: History of semi-Lagrangian methods
  9. Chapter 5: Semi-Lagrangian methods for linear advection problems
  10. Chapter 6: Interpolation methods
  11. Chapter 7: Stability and consistency analysis of semi-Lagrangian methods for the linear problem
  12. Chapter 8: Advection with nonconstant velocities
  13. Chapter 9: Nonzero forcings
  14. Chapter 10: Semi-Lagrangian methods for two-dimensional problems
  15. Chapter 11: Semi-Lagrangian methods for three-dimensional problems
  16. Chapter 12: Semi-Lagrangian methods on a sphere
  17. Chapter 13: Shape-preserving and mass-conserving semi-Lagrangian approaches
  18. Chapter 14: Tangent linear modeling and adjoints of semi-Lagrangian methods
  19. Chapter 15: Applications of semi-Lagrangian methods in the geosciences
  20. Chapter 16: Solutions to select exercises
  21. Bibliography
  22. Index