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

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 lak...

Full description

Bibliographic Details
Main Authors: Hutter, Kolumban, Wang, Yongqi (Author), Chubarenko, Irina P. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2011, 2011
Edition:1st ed. 2011
Series:Advances in Geophysical and Environmental Mechanics and Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 03300nmm a2200385 u 4500
001 EB000385115
003 EBX01000000000000000238167
005 00000000000000.0
007 cr|||||||||||||||||||||
008 130626 ||| eng
020 |a 9783642151781 
100 1 |a Hutter, Kolumban 
245 0 0 |a Physics of Lakes  |h Elektronische Ressource  |b Volume 1: Foundation of the Mathematical and Physical Background  |c by Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko 
250 |a 1st ed. 2011 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 2011, 2011 
300 |a XLVII, 434 p  |b online resource 
505 0 |a 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 
653 |a Classical and Continuum Physics 
653 |a Geophysics 
653 |a Earth System Sciences 
653 |a Physical geography 
653 |a Physics 
653 |a Earth sciences 
653 |a Earth Sciences 
653 |a Oceanography 
653 |a Ocean Sciences 
700 1 |a Wang, Yongqi  |e [author] 
700 1 |a Chubarenko, Irina P.  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Advances in Geophysical and Environmental Mechanics and Mathematics 
028 5 0 |a 10.1007/978-3-642-15178-1 
856 4 0 |u https://doi.org/10.1007/978-3-642-15178-1?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 550 
520 |a 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