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Numerical Methods for Fluid Dynamics

With Applications in Geophysics

(Autor)

Buch | Hardcover
482 Seiten
1998
Springer-Verlag New York Inc.
978-0-387-98376-9 (ISBN)

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Numerical Methods for Fluid Dynamics - Dale R. Durran
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Covering a wide range of techniques, this book describes methods for the solution of partial differential equations which govern wave propagation and are used in modeling atmospheric and oceanic flows. The presentation establishes a concrete link between theory and practice.
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 techiniques that are now available. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout the book the author has provided 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 the theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. Numerical Methods for Geophysical Fluid Dynamics will be useful as a senior undergraduate and graduate text and reference for those teaching numerical methods particularly those concentrating on fluid dynamics. Dale R Durran is a Professor at the University of Washington, Seattle.

Introduction; Basic Finite-Difference Methods; Beyond Scalar Wave Equations; Series-Expansion Methods; Finite Volume Methods 6 Semi-Lagrangian Methods; Physically Insignificant Fast Waves; Non-reflecting Boundary conditions; Appendix: Derivations of two fundamental theorems.

Erscheint lt. Verlag 25.11.1998
Reihe/Serie Texts in Applied Mathematics ; v.32
Zusatzinfo 93 black & white illustrations, 6 black & white tables
Verlagsort New York, NY
Sprache englisch
Maße 234 x 156 mm
Gewicht 1890 g
Einbandart gebunden
Themenwelt Mathematik / Informatik Mathematik Analysis
Naturwissenschaften Geowissenschaften Geologie
Naturwissenschaften Geowissenschaften Geophysik
ISBN-10 0-387-98376-7 / 0387983767
ISBN-13 978-0-387-98376-9 / 9780387983769
Zustand Neuware
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