Physics of Lakes : Volume 1: Foundation of the Mathematical and Physical Background

By (author) Hutter, Kolumban; By (author) Wang, Yongqi; By (author) Chubarenko, Irina P.

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-epsilon 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.

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  • Mathematical Prerequisites.- A Brief Review of the Basic Thermomechanical Laws of Classical Physics.- Fundamental Equations of Lake Hydrodynamics.- Conservation of Angular Momentum - Vorticity.- Turbulence Modelling.- Introduction to Linear Waves.- The Role of the Distribution of Mass within Water Bodies on Earth.- Vertical Structure of Wind-induced Currents in Homogenous and Stratified Waters.- Phenomenological Coefficients of Water.

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書名 Physics of Lakes : Volume 1: Foundation of the Mathematical and Physical Background
著作者等 Chubarenko, Irina P.
Wang, Yongqi
Hutter, Kolumban
書名別名 Volume 1: Foundation of the Mathematical and Physical Background
シリーズ名 Advances in Geophysical and Environmental Mechanics and Mathematics
出版元 Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
刊行年月 2012.12.28
ページ数 481p
大きさ H235 x W155
ISBN 9783642265976
言語 英語
出版国 ドイツ