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Numerical methods for fluid dynamics : with applications to geophysics /

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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 diff...

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Bibliographic Details
Main Author: Durran, Dale R. (Author)
Format: Book
Language:English
Published: New York : Springer, [2010]
Edition:2nd ed.
Series:Texts in applied mathematics ; 32.
Subjects:
Fluid dynamics > Mathematics.
Fluid dynamics > Mathematical models.
Geophysics > Mathematical models.
Geophysics > Mathematics.
Differential equations > Numerical solutions.
Differential equations, Partial > Numerical solutions.
Wave equation.
Dynamique des fluides > Mathématiques.
Dynamique des fluides > Modèles mathématiques.
Géophysique > Modèles mathématiques.
Géophysique > Mathématiques.
Équations différentielles > Solutions numériques.
Équations aux dérivées partielles > Solutions numériques.
Équations d'onde.
Geophysics > Fluid models.
Wave equation > Numerical solutions.
Computational fluid dynamics.
Online Access:SpringerLink
1850-9999
Description
Summary: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.
Item Description:First edition has title: Numerical methods for wave equations in geophysical fluid dynamics.
Physical Description:xv, 516 pages : illustrations ; 24 cm.
Bibliography:Includes bibliographical references (pages 501-510) and index.
ISBN:9781441964113
1441964118
ISSN:0939-2475 ;