Semi-Lagrangian Advection Methods and Their Applications in Geoscience 1st Edition Steven J. Fletcher

Semi-Lagrangian Advection Methods and Their Applications in Geoscience – Ebook Instant Download/Delivery ISBN(s): 9780128172223,0128172223

Product details:

• ISBN-10 ‏ : ‎ 0128172223
• ISBN-13 ‏ : ‎ 978-0128172223
• Author: Steven J. Fletcher

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.

Table contents:

1. Introduction

2. Eulerian modeling of advection problems

3. Stability, consistency, and convergence of Eulerian advection based numerical methods

4. History of semi-Lagrangian methods

5. Semi-Lagrangian methods for linear advection problems

6. Interpolation methods

7. Stability and consistency analysis of semi-Lagrangian methods for the linear problem

8. Advection with nonconstant velocities

9. Nonzero forcings

10. Semi-Lagrangian methods for two-dimensional problems

11. Semi-Lagrangian methods for three-dimentional problems

12. Semi-Lagrangian methods on a sphere

13. Shape-preserving and mass-conserving semi-Lagrangian approaches

14. Tangent linear modeling and adjoints of semi-Lagrangian methods

15. Applications of semi-Lagrangian methods in the geosciences

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