Authors:
- Works from simple to complex model descriptions gradually building a growing understanding of the physical dynamics of lakes using only basic calculus worked to the level required for application to field theory
- The classical physical laws of mass balance, momentum, angular momentum and energy are also carefully presented at a beginners level of knowledge Deals with the formulation of the mathematical and physical background
Part of the book series: Advances in Geophysical and Environmental Mechanics and Mathematics (AGEM)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
This first volume in the treatise on the Physics of Lakes deals with the formulation of the mathematical and physical background. A large number of lakes on Earth are described, presenting their morphology as well as the causes of their response to the driving environment. Because the physics of lakes cannot be described without the language used in mathematics, these subjects are introduced first by using the simplest approach and with utmost care, assuming only a limited college knowledge of classical Newtonian physics, and continues with increasing complexity and elegance, starting with the fundamental equations of Lake Hydrodynamics in the form of ‘primitive equations’ and leading to a detailed treatment of angular momentum and vorticity. Following the presentation of these fundamentals turbulence modeling is introduced with Reynolds, Favre and other non-ergodic filters. The derivation of averaged field equations is presented with different closure schemes, including thek-ε model for a Boussinesq fluid and early anisotropic closure schemes. This is followed by expositions of surface gravity waves without rotation and an analysis of the role played by the distribution of mass within water bodies on the Earth, leading to a study of internal waves. The vertical structure of wind-induced currents in homogeneous and stratified waters and the Ekman theory and some of its extensions close this first volume of Physics of Lakes. The last chapter collects formulas for the phenomenological coefficients of water.
Reviews
From the reviews:
“The book offers a broad, self-contained introduction to the physics of lakes and will be an invaluable reference for all those with an active interest in geophysical mechanics research and teaching.” (Felix Kaplanski, Zentralblatt MATH, Vol. 1207, 2011)Authors and Affiliations
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Versuchsanstalt Wasserbau, Hydrologie und Glaziologie, ETH Zürich, Zürich, Switzerland
Kolumban Hutter
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, Chair of Fluid Dynamics, Department of M, Darmstadt University of Technology, Darmstadt, Germany
Yongqi Wang
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P.P. Shirshov Institute of Oceanology, Russian Academy of Sciences, Kaliningrad, Russian Federation
Irina P. Chubarenko
Bibliographic Information
Book Title: Physics of Lakes
Book Subtitle: Volume 1: Foundation of the Mathematical and Physical Background
Authors: Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko
Series Title: Advances in Geophysical and Environmental Mechanics and Mathematics
DOI: https://doi.org/10.1007/978-3-642-15178-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Earth and Environmental Science, Earth and Environmental Science (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Hardcover ISBN: 978-3-642-15177-4Published: 11 November 2010
Softcover ISBN: 978-3-642-26597-6Published: 02 January 2013
eBook ISBN: 978-3-642-15178-1Published: 10 November 2010
Series ISSN: 1866-8348
Series E-ISSN: 1866-8356
Edition Number: 1
Number of Pages: XLVII, 434
Topics: Earth Sciences, general, Geoecology/Natural Processes, Classical and Continuum Physics, Geophysics/Geodesy, Oceanography