Physics of Lakes
Volume 1: Foundation of the Mathematical and Physical Background
Authors: Hutter, Kolumban, Yongqi, Wang, Chubarenko, Irina P.
Free Preview- The first volume in a treatise on the Physics of Lakes
- Works from simple to complex model descriptions to build understanding of the physical dynamics of lakes using only basic calculus
- Presents classical physical laws of mass balance, momentum, angular momentum and energy at a beginners level of knowledge
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- About this book
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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 the k-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
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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)
- Table of contents (10 chapters)
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Introduction
Pages 1-23
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Mathematical Prerequisites
Pages 25-66
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A Brief Review of the Basic Thermomechanical Laws of Classical Physics
Pages 67-82
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Fundamental Equations of Lake Hydrodynamics
Pages 83-155
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Conservation of Angular Momentum–Vorticity
Pages 157-184
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Table of contents (10 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Physics of Lakes
- Book Subtitle
- Volume 1: Foundation of the Mathematical and Physical Background
- Authors
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- Kolumban Hutter
- Wang Yongqi
- Irina P. Chubarenko
- Series Title
- Advances in Geophysical and Environmental Mechanics and Mathematics
- Copyright
- 2011
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-15178-1
- DOI
- 10.1007/978-3-642-15178-1
- Hardcover ISBN
- 978-3-642-15177-4
- Softcover ISBN
- 978-3-642-26597-6
- Series ISSN
- 1866-8348
- Edition Number
- 1
- Number of Pages
- XLVII, 434
- Topics
