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Semi-Lagrangian Advection Methods and Their Applications in Geoscience
ISBN-13:
9780128172230
Veröffentl:
2019
Seiten:
624
Autor:
Steven J. Fletcher
eBook Typ:
EPUB
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:
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.
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
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