
Semi-Lagrangian Advection Methods and Their Applications in Geoscience
Description
Key Features
- 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
Readership
Students and researchers in geophysics, geochemistry, volcanology, atmospheric science, applied math, oceanography, and hydrology; secondary audience in geophysical industry
Table of 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
Product details
- No. of pages: 624
- Language: English
- Copyright: © Elsevier 2019
- Published: November 18, 2019
- Imprint: Elsevier
- Paperback ISBN: 9780128172223
- eBook ISBN: 9780128172230
About the Author
Steven Fletcher
Affiliations and Expertise
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