Physics of Lakes

Volume 1: Foundation of the Mathematical and Physical Background

  • Kolumban Hutter
  • Yongqi Wang
  • Irina P. Chubarenko

Table of contents

  1. Front Matter
    Pages i-xlvii
  2. Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko
    Pages 1-23
  3. Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko
    Pages 25-66
  4. Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko
    Pages 67-82
  5. Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko
    Pages 83-155
  6. Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko
    Pages 157-184
  7. Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko
    Pages 185-220
  8. Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko
    Pages 221-261
  9. Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko
    Pages 263-318
  10. Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko
    Pages 319-387
  11. Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko
    Pages 389-418
  12. Back Matter
    Pages 419-434

About this book

Introduction

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.

Keywords

Environmental Fluid Dynamics Lake Dynamics Oceanography Physical Limnology Transport Processes in Lakes

Authors and affiliations

  • Kolumban Hutter
    • 1
  • Yongqi Wang
    • 2
  • Irina P. Chubarenko
    • 3
  1. 1.Versuchsanstalt Wasserbau, Hydrologie und GlaziologieETH ZürichZürichSwitzerland
  2. 2., Chair of Fluid Dynamics, Department of MDarmstadt University of TechnologyDarmstadtGermany
  3. 3.P.P. Shirshov Institute of OceanologyRussian Academy of SciencesKaliningradRussian Federation

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-15178-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Earth and Environmental Science
  • Print ISBN 978-3-642-15177-4
  • Online ISBN 978-3-642-15178-1
  • Series Print ISSN 1866-8348
  • Series Online ISSN 1866-8356
  • About this book