Numerical Methods for Fluid Dynamics

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Sprache: Englisch

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Beschreibung

This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows. The book covers both the essentials of building a numerical model and the more sophisticated techniques that are now available. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout, the author keeps to a middle ground between the theorem-proof formalism of a mathematical text and the highly empirical approach found in some engineering publications. The book establishes a concrete link between theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. From the reviews: "...the books unquestionable advantage is the clarity and simplicity in presenting virtually all basic ideas and methods of numerical analysis currently actively used in geophysical fluid dynamics." Physics of Atmosphere and Ocean

Über den Autor

Dale Durran is a professor in the Atmospheric Sciences Department at the University of Washington in Seattle, WA. His research interests include Mesoscale Dynamic, Meteorology, Numerical Methods, Mountain Meteorology, Atmospheric Waves.

Zusammenfassung

A thorough introduction to a broad spectrum of methods of the solution of time dependent differential equations

The theoretical properties of the various schemes are extensively illustrated by figures

Well illustrated and includes examples and exercises throughout

Includes supplementary material: [...]

Inhaltsverzeichnis

Introduction*Ordinary Differential Equations*Finite-Difference Approximation of the Wave Equation*Diffusion, Sources and Sinks*Series Expansion Methods*Finite-Volume Methods*Semi-Lagrangian Methods*Physically Insignificant Fast Waves*Nonreflecting Boundary Conditions*Appendix

Details

Erscheinungsjahr:	2012
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xvi 516 S.
ISBN-13:	9781461426851
ISBN-10:	1461426855
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Durran, Dale R.
Auflage:	Softcover reprint of hardcover 2nd edition 2010
Hersteller:	Springer US Springer New York
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 29 mm
Von/Mit:	Dale R. Durran
Erscheinungsdatum:	05.11.2012
Gewicht:	0,797 kg