Physics of Lakes

1. Front Matter

   Pages i-lxviii

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

   • Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko

   Pages 1-48

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

   • Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko

   Pages 49-113

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

   • Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko

   Pages 115-154

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

   • Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko

   Pages 155-195

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

   • Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko

   Pages 197-250

7. Higher-Order Baroclinicity (II)Interpretation of Lake Data with Rotating and Non-rotating Models

   • Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko

   Pages 251-286

8. Barotropic Oscillations in Lake Onega: A Lake of Complex Geometry

   • Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko

   Pages 287-314

9. Observation and Analysis of Internal Seiches in the Southern Basin of Lake of Lugano

   • Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko

   Pages 315-353

10. Topographic Waves in Enclosed Basins: Fundamentals and Observations

    • Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko

    Pages 355-398

11. Topographic RossbyWaves in Basins of Simple Geometry

    • Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko

    Pages 399-445

12. Topographic Waves in Basins with Complex Shapes and Complex Bathymetries

    • Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko

    Pages 447-536

13. A Class of Chrystal-Type Equations

    • Kolumban Hutter, Yongqi Wang, Irina P. Chubarenko

    Pages 537-626

14. Back Matter

    Pages 627-646

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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 gravitywaves 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.

• Baroclinic Waves
• Barotropic Waves
• Lake Dynamics
• Oscillators
• Physical Limnology

• c/ Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie, ETH Zürich, Zürich, Switzerland

  Kolumban Hutter

• , Department of Mechanical Engineering, Darmstadt University of Technology, Darmstadt, Germany

  Yongqi Wang

• P.P. Shirshov Institute of Oceanology, Russian Academy of Sciences, Kaliningrad, Russian Federation

  Irina P. Chubarenko

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