Advances in Geophysical and Environmental Mechanics and Mathematics

Physics of Lakes

Volume 1: Foundation of the Mathematical and Physical Background

Authors: Hutter, Kolumban, Yongqi, Wang, Chubarenko, Irina P.

  • 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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eBook $189.00
price for USA (gross)
valid through November 5, 2017
  • ISBN 978-3-642-15178-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $239.00
price for USA
valid through November 5, 2017
  • ISBN 978-3-642-15177-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $239.00
price for USA
valid through November 5, 2017
  • ISBN 978-3-642-26597-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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 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

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)

  • Introduction

    Hutter, Kolumban (et al.)

    Pages 1-23

  • Mathematical Prerequisites

    Hutter, Kolumban (et al.)

    Pages 25-66

  • A Brief Review of the Basic Thermomechanical Laws of Classical Physics

    Hutter, Kolumban (et al.)

    Pages 67-82

  • Fundamental Equations of Lake Hydrodynamics

    Hutter, Kolumban (et al.)

    Pages 83-155

  • Conservation of Angular Momentum–Vorticity

    Hutter, Kolumban (et al.)

    Pages 157-184

Buy this book

eBook $189.00
price for USA (gross)
valid through November 5, 2017
  • ISBN 978-3-642-15178-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $239.00
price for USA
valid through November 5, 2017
  • ISBN 978-3-642-15177-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $239.00
price for USA
valid through November 5, 2017
  • ISBN 978-3-642-26597-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Physics of Lakes
Book Subtitle
Volume 1: Foundation of the Mathematical and Physical Background
Authors
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