Semi-Lagrangian Advection Methods and Their Applications in Geosciences

Semi-Lagrangian Advection Methods and Their Applications in Geosciences provides a much-needed resource on semi-Lagrangian theory and methods. Covering a variety of applications, the book brings together developments in a single source, offering a comparison of semi-Lagrangian and Eulerian based approaches. The book also includes a chapter dedicated to the difficulties of dealing with the adjoint of semi-Lagrangian methods and illustrates the behavior of different schemes for different applications. Users will gain 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 or advection, and for researchers and practitioners applying these techniques to geoscientific modeling, this book 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 applicationPresents exercises and codes to supplement learning and create opportunities for practiceCovers adjoints, examining the advantages and disadvantages of different approaches in multiple coordinate systems and different discretizationsIncludes links to numerical datasets and animations to further enhance understanding INDICE: 1. Introduction to Advection/Transport Problems2. History of Semi-Lagrangian methods3. Eulerian Modelling of Advection/Transport4. Stability and Consistency of Eulerian Methods5. Semi-Lagrangian for constant linear Advection/Transport6. Interpolation Methods7. Non-constant velocity methods8. Non-zero/non-Linear Forcing9. Semi-Implicit Semi-Lagrangian Methods10. 2D modelling11. 3D Modelling12. Semi-Lagrangian methods on the sphere13. Adjoints of Eulerian and Semi-Lagrangian methods14. Applications in the geosciences.

• ISBN: 978-0-12-817222-3
• Editorial: Elsevier
• Encuadernacion: Rústica
• Páginas: 430
• Fecha Publicación: 01/10/2019
• Nº Volúmenes: 1
• Idioma: Inglés