Semi-Lagrangian Advection Methods and Their Applications in Geoscience

Steven James Fletcher

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English

Elsevier Science Publishing Co Inc
18 November 2019

Geophysics; Atmospheric physics; Oceanography (seas)

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.

By: Steven James Fletcher
Imprint: Elsevier Science Publishing Co Inc
Country of Publication: United States
Dimensions: Height: 234mm, Width: 191mm,
Weight: 1.160kg
ISBN: 9780128172223
ISBN 10: 0128172223
Pages: 624
Publication Date: 18 November 2019
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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

Steven J. Fletcher is a Research Scientist III at the Cooperative Institute for Research in the Atmosphere (CIRA) at Colorado State University, where he is the lead scientist on the development of non-Gaussian based data assimilation theory for variational, PSAS, and hybrid systems. He has worked extensively with the Naval Research Laboratory in Monterey in development of their data assimilation system, as well as working with the National Atmospheric and Oceanic Administration (NOAA)’s Environmental Prediction Centers (EMC) data assimilation system. Dr. Fletcher is extensively involved with the American Geophysical Union (AGU)’s Fall meeting planning committee, having served on the committee since 2013 as the representative of the Nonlinear Geophysics section. He has also been the lead organizer and science program committee member for the Joint Center for Satellite Data Assimilation Summer Colloquium on Satellite Data Assimilation since 2016. Dr. Fletcher is the author of Data Assimilation for the Geosciences: From Theory to Application (Elsevier, 2017). In 2017 Dr. Fletcher became a fellow of the Royal Meteorological Society.