Semi-Lagrangian Advection Methods and Their Applications in Geoscience
| By: | Steven J. Fletcher |
| Publisher: | Elsevier S & T |
| Print ISBN: | 9780128172223 |
| eText ISBN: | 9780128172230 |
| Edition: | 0 |
| Copyright: | 2020 |
| Format: | Reflowable |
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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