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Book Cover
E-book
Author Durran, Dale R.

Title Numerical methods for fluid dynamics : with applications to geophysics / Dale R. Durran
Edition 2nd ed
Published New York : Springer, ©2010

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Description 1 online resource (xv, 516 pages) : illustrations
Series Texts in applied mathematics, 0939-2475 ; 32
Texts in applied mathematics ; 32.
Contents Ordinary Differential Equations -- Finite-Difference Approximations for One-Dimensional Transport -- Beyond One-Dimensional Transport -- Conservation Laws and Finite-Volume Methods -- Series-Expansion Methods -- Semi-Lagrangian Methods -- Physically Insignificant Fast Waves -- Nonreflecting Boundary Conditions -- Numerical Miscellany
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
Bibliography Includes bibliographical references (pages 501-510) and index
Notes Print version record
Subject Fluid dynamics -- Mathematics
Fluid dynamics -- Mathematical models
Geophysics -- Mathematical models
Geophysics -- Mathematics
Differential equations -- Numerical solutions.
Differential equations, Partial -- Numerical solutions.
Wave equation.
Differential equations -- Numerical solutions.
Differential equations, Partial -- Numerical solutions.
Fluid dynamics -- Mathematical models.
Fluid dynamics -- Mathematics.
Geophysics -- Mathematical models.
Geophysics -- Mathematics.
Wave equation.
Form Electronic book
ISBN 9781441964120
1441964126
Other Titles Numerical methods for wave equations in geophysical fluid dynamics
Numerical methods for wave equations in geophysical fluid dynamics
Numerical methods for wave equations in geophysical fluid dynamics