Advances in Geophysical and Environmental Mechanics and Mathematics

Physics of Lakes

Volume 2: Lakes as Oscillators

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

  • Deals with barotropic and baroclinic waves in homogeneous and stratified lakes on the rotating Earth
  • Presents a classification of rotating shallow-water waves
  • Describes Kelvin-type and Poincaré-type waves
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eBook $259.00
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  • ISBN 978-3-642-19112-1
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Hardcover $329.00
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  • ISBN 978-3-642-19111-4
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  • Usually dispatched within 3 to 5 business days.
Softcover $329.00
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  • ISBN 978-3-642-43446-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The overwhelming focus of this 2nd volume of “Physics of Lakes” is adequately expressed by its subtitle “Lakes as Oscillators”. It deals with barotropic and baroclinic waves in homogeneous and stratified lakes on the rotating Earth and comprises 12 chapters, starting with rotating shallow-water waves, demonstrating their classification into gravity and Rossby waves for homogeneous and stratified water bodies. This leads to gravity waves in bounded domains of constant depth, Kelvin, Poincaré and Sverdrup waves, reflection of such waves in gulfs and rectangles and their description in sealed basins as barotropic ‘inertial waves proper’. The particular application to gravity waves in circular and elliptical basins of constant depth leads to the description of Kelvin-type and Poincaré-type waves and their balanced description in basins of arbitrary geometry on the rotating Earth. Consideration of two-, three- and n-layer fluids with sharp interfaces give rise to the description of gravity waves of higher order baroclinicity with experimental corroboration in a laboratory flume and e.g. in Lake of Lugano, Lake Banyoles and Lake Biwa. Barotropic wave modes in Lake Onega with complex geometry show that data and computational output require careful interpretation. Moreover, a summer field campaign in Lake of Lugano and its two-layer modal analysis show that careful statistical analyses of the data are requested to match data with computational results. Three chapters are devoted to topographic Rossby waves. Conditions are outlined for which these waves are negligibly affected by baroclinicity. Three classes of these large period modes are identified: channel modes, so-called Ball modes and bay modes, often with periods which lie very close together. The last chapter deals with an entire class of Chrystal-type equations for barotropic waves in elongated basins which incorporate the effects of the rotation of the Earth.

Table of contents (12 chapters)

  • The Role of the Earth’s Rotation: Fundamentals – Rotation and Stratification Influenced Dynamics

    Hutter, Kolumban (et al.)

    Pages 1-48

  • The Role of the Earth’s Rotation: Oscillations in Semi-bounded and Bounded Basins of Constant Depth

    Hutter, Kolumban (et al.)

    Pages 49-113

  • Basin-Scale Gravity Waves in Circular and Elliptical Containers on the Rotating Earth

    Hutter, Kolumban (et al.)

    Pages 115-154

  • Barotropic and Baroclinic Basin-Scale Wave Dynamics Affected by the Rotation of the Earth

    Hutter, Kolumban (et al.)

    Pages 155-195

  • Higher-Order Baroclinicity (I): Two Fluid Layers with Diffuse Interface – Three Fluid Layers with Sharp Interfaces

    Hutter, Kolumban (et al.)

    Pages 197-250

Buy this book

eBook $259.00
price for USA (gross)
  • ISBN 978-3-642-19112-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $329.00
price for USA
  • ISBN 978-3-642-19111-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $329.00
price for USA
  • ISBN 978-3-642-43446-4
  • 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 2: Lakes as Oscillators
Authors
Series Title
Advances in Geophysical and Environmental Mechanics and Mathematics
Series Volume
2
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-19112-1
DOI
10.1007/978-3-642-19112-1
Hardcover ISBN
978-3-642-19111-4
Softcover ISBN
978-3-642-43446-4
Series ISSN
1866-8348
Edition Number
1
Number of Pages
LXVIII, 646
Topics