Numerical Methods for Wave equation in Geophysical Fluid Dynamics - With 93 illustrations.pdf

Numerical Methods for Wave equation in Geophysical Fluid Dynamics - With 93 illustrations PDF

Dale-R Durran

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.

01/07/1997 · We have applied two numerical ocean models that use essentially the same physics but significantly different numerical approaches to a case of coastal upwelling and Kelvin wave propagation in a circular basin and Lake Michigan. The physical differences between the models (free surface versus rigid lid, Mellor–Yamada versus Richardson number turbulence parameterization) are not significant

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Numerical Methods for Wave equation in Geophysical Fluid Dynamics - With 93 illustrations.pdf


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Sofya Voigtuh

Editorial Reviews. Review. From the reviews of the second edition: “This is a largely ... Numerical Methods for Fluid Dynamics: With Applications to Geophysics (Texts in ... The book includes exercises and is well illustrated with figures linking ... of Numerical Methods for Wave Equations in Geophysical Fluid Dynamics; the ...

Mattio Müllers

Yang: Wave Packets and Their Bifurcations in Geophysical Fluid Dynamics. 86. DendrinosiSonis: Chaos and Socio-Spatial Dynamics. 87. Weder: Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media. 88. BogaevskilPovzner: Algebraic Methods in Nonlinear Perturbation Theory. 89. O'Malley: Singular Perturbation Methods for Ordinary Differential Equations. 90. Meyer/Hall Research Seminars | PPPL Theory

Noels Schulzen

Roe | Fluid Dynamics | Numerical Analysis Roe - Free download as PDF File (.pdf), Text File (.txt) or read online for free. superbee

Jason Leghmann

Linear and nonlinear numerical models of local density perturbation dynamics are constructed in a stable stratified medium by using full Euler equations and Euler equations in the Oberbeck–Boussinesq approximation. Parametric calculations for the analysis of applicability of the numerical models are carried out for a number of density distributions of an undisturbed fluid. The effect of Constructive Methods of Invariant Manifolds for …

Jessica Kolhmann

頁面擷取自 … 13. Geophysical Fluid Dynamics. 621. 13.1. Introduction 622 13.2. Vertical Variation of Density in the Atmosphere and Ocean 623 13.3. Equations of Motion 625 13.4. Approximate Equations for a Thin