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Semi-Lagrangian Advection Methods and Their Applications in Geoscience
Brings together all the developments of semi-Lagrangian methods in a consolidated way, covering both theory and applications
Steven J. Fletcher (Author)
9780128172223, Elsevier Science
Paperback, published 18 November 2019
624 pages
23.4 x 19 x 3.8 cm, 1.16 kg
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.
1. Introduction2. Eulerian modeling of advection problems3. Stability, consistency, and convergence of Eulerian advection based numerical methods4. History of semi-Lagrangian methods5. Semi-Lagrangian methods for linear advection problems6. Interpolation methods7. Stability and consistency analysis of semi-Lagrangian methods for the linear problem8. Advection with nonconstant velocities9. Nonzero forcings10. Semi-Lagrangian methods for two-dimensional problems11. Semi-Lagrangian methods for three-dimentional problems12. Semi-Lagrangian methods on a sphere13. Shape-preserving and mass-conserving semi-Lagrangian approaches14. Tangent linear modeling and adjoints of semi-Lagrangian methods15. Applications of semi-Lagrangian methods in the geosciences
Subject Areas: Enterprise software [UFL], Oceanography [seas RBKC], Earth sciences [RB], Atmospheric physics [PHVJ], Geophysics [PHVG]
