Numerical Methods for Wave equation in Geophysical Fluid Dynamics: With 93 illustrations - Couverture rigide

Durran, Dale-R

Couverture rigide

ISBN 10 : 0387983767 ISBN 13 : 9780387983769

Editeur : Springer-Verlag New York Inc., 1998

Synopsis

This scholarly text provides an introduction to the numerical methods used to model partial differential equations governing wave-like and weakly dissipative flows. The focus of the book is on fundamental methods and standard fluid dynamical problems such as tracer transport, the shallow-water equations, and the Euler equations. The emphasis is on methods appropriate for applications in atmospheric and oceanic science, but these same methods are also well suited for the simulation of wave-like flows in many other scientific and engineering disciplines. The text discusses finite-difference, spectral, finite-element, and finite-volume methods. Also included are additional chapters on semi-Lagrangian schemes, nonreflecting boundary conditions, and methods for the efficient solution of problems that include physically insignificant rapidly propagating waves. Throughout the book the author has followed a middle course between the theorem-proof formalism of a pure mathematics text and the highly empirical approach found in some engineering publications. Although there are no formal proofs, the essential characteristics of the various schemes are mathematically derived in a style familiar to physical scientists. Numerical examples illustrating the theoretically derived properties of the various methods are presented throughout the book to establish a concrete link between theory and practice. Both theoretical and applied problems are provided at the end of each chapter. Numerical Methods for Wave Equations in Geophysical Fluid Dynamics will be useful as a senior undergraduate and graduate text, and as a reference for those teaching or using numerical methods, particularly for those concentrating on fluid dynamics.

A propos du livre

À propos de l?auteur

Dale R. DURRAN is a professor at the University of Washington, Seattle. He has a doctorate in meteorology from the Massachusetts Institute of Technology and a master's degree in mathematics from UC Berkeley.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 1998
• ISBN 10: 0387983767
• ISBN 13: 9780387983769
• Reliure: Relié
• Langue: anglais
• Nombre de pages: 482
• Coordonnées du fabricant: non disponible