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Numerical Methods for Fluid Dynamics: With Applications to Geophysics: 32 (Texts in Applied Mathematics) - Tapa dura
Sinopsis
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
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Acerca del 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.
De la contraportada
This book is a major revision of Numerical Methods for Wave Equations in Geophysical Fluid Dynamics; the new title of the second edition conveys its broader scope. The second edition is designed to serve graduate students and researchers studying geophysical fluids, while also providing a non-discipline-specific introduction to numerical methods for the solution of time-dependent differential equations. The methods considered are those at the foundation of real-world atmospheric or ocean models, with the focus being on the essential mathematical properties of each method. The fundamental character of each scheme is examined in prototypical fluid-dynamical problems like tracer transport, chemically reacting flow, shallow-water waves, and waves in an internally stratified fluid. The book includes exercises and is well illustrated with figures linking theoretical analyses to results from actual computations. Changes from the first edition include new chapters, discussions and updates throughout.Dale Durran is Professor and Chair of Atmospheric Sciences and Adjunct Professor of Applied Mathematics at the University of Washington.Reviews from the First Edition: This book will no doubt become a standard within the atmospheric science community, but its comfortable applied mathematical style will also appeal to many interested in computing advective flows and waves. It is a contemporary and worthy addition to the still-sparse list of quality graduate-level references on the numerical solution of PDEs." SIAM Review, 2000, 42, 755-756 (by David Muraki) This book presents an extensive overview of past and current numerical methods used in the context of solving wave systems It is directed primarily at flows that do not develop shocks and focuses on standard fluid problems including tracer transport, the shallow-water equations and the Euler equations the book is well organized and written and fills a long-standing void for collected material on numerical methods useful for studying geophysical flows." Bulletin of the American Meteorological Society, 2000, 81, 1080-1081 (by Robert Wilhelmson)
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- EditorialSpringer
- Año de publicación2010
- ISBN 10 1441964118
- ISBN 13 9781441964113
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas534
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Numerical Methods for Fluid Dynamics: With Applications to Geophysics
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 thr. Nº de ref. del artículo: 458487005
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Numerical Methods for Fluid Dynamics: With Applications to Geophysics
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 516 pp. Englisch. Nº de ref. del artículo: 9781441964113
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Numerical Methods for Fluid Dynamics: With Applications to Geophysics (Texts in Applied Mathematics, 32)
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Numerical Methods for Fluid Dynamics : With Applications to Geophysics
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is a major revision of Numerical Methods for Wave Equations in Geophysical Fluid Dynamics; the new title of the second edition conveys its broader scope. The second edition is designed to serve graduate students and researchers studying geophysical fluids, while also providing a non-discipline-specific introduction to numerical methods for the solution of time-dependent differential equations. The methods considered are those at the foundation of real-world atmospheric or ocean models, with the focus being on the essential mathematical properties of each method. The fundamental character of each scheme is examined in prototypical fluid-dynamical problems like tracer transport, chemically reacting flow, shallow-water waves, and waves in an internally stratified fluid. The book includes exercises and is well illustrated with figures linking theoretical analyses to results from actual computations. Changes from the first edition include new chapters, discussions and updates throughout.Dale Durran is Professor and Chair of Atmospheric Sciences and Adjunct Professor of Applied Mathematics at the University of Washington.Reviews from the First Edition:'This book will no doubt become a standard within the atmospheric science community, but its comfortable applied mathematical style will also appeal to many interested in computing advective flows and waves. It is a contemporary and worthy addition to the still-sparse list of quality graduate-level references on the numerical solution of PDEs.' SIAM Review, 2000, 42, 755-756 (by David Muraki)'This book presents an extensive overview of past and current numerical methods used in the context of solving wave systems . It is directed primarily at flows that do not develop shocks and focuses on standard fluid problems including tracer transport, the shallow-water equations and the Euler equations . the book is well organized and written and fills a long-standing void for collected material on numericalmethods useful for studying geophysical flows.' Bulletin of the American Meteorological Society, 2000, 81, 1080-1081 (by Robert Wilhelmson). Nº de ref. del artículo: 9781441964113
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Numerical Methods for Fluid Dynamics: With Applications to Geophysics (Texts in Applied Mathematics, 32)
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Numerical Methods for Fluid Dynamics : With Applications to Geophysics
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Numerical Methods for Fluid Dynamics: With Applications to Geophysics
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ISBN 10: 1441964118
ISBN 13: 9781441964113
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Numerical Methods for Fluid Dynamics: With Applications to Geophysics (Texts in Applied Mathematics, 32)
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