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Topographic RossbyWaves in Basins of Simple Geometry

  • Kolumban HutterEmail author
  • Yongqi Wang
  • Irina P. Chubarenko
Chapter
Part of the Advances in Geophysical and Environmental Mechanics and Mathematics book series (AGEM, volume 2)

Abstract

In the last chapter, topographic Rossby-waves on the f-plane were studied with emphasis of their mathematical description as extracted from the governing equations of fluid mechanics. Their possible observation by synoptic measurements was also discussed: they pertain to horizontal velocity and temperature-time series from moored thermistor chains and current recorders. It was shown by appropriately scaling the adiabatic Boussinesq approximated equations that in lakes with shallow epilimnion and deep hypolimnion – more specifically lakes which satisfy the so-called Gratton-scaling – the barotropic-baroclinic coupling is one-sided from the barotropic to the baroclinic TWs but not vice versa. In other words, if a topographic wave or a free or wind-induced oscillation in a lake, whose spectral component can be associated with a barotropic topographic wave mode, is acting in a lake, then this spectral component exerts a sizeable effect on the vertical baroclinic water movement which is (in principle) measurable in isotherm–depth–time series. Conversely, a baroclinic wave signal has a negligible influence on the barotropic TW response. This implies that for all those lakes whose geometry and stratification falls into the range of Gratton’s scaling – most Alpine lakes satisfy this scaling – the spectral structure can be found from the spectral analysis of the TW-operator, yet observational inferences can be drawn not only from cross-correlation analyses of moored current meters but equally also from such analyses involving isotherm–depth or temperature–time series.

Keywords

Dispersion Relation Stream Function Conformal Mapping Orthogonal Coordinate System Bornholm Basin 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Kolumban Hutter
    • 1
    Email author
  • Yongqi Wang
    • 2
  • Irina P. Chubarenko
    • 3
  1. 1.c/o Versuchsanstalt für Wasserbau Hydrologie und Glaziologie ETH-ZentrumETH ZürichZürichSwitzerland
  2. 2.Department of Mechanical EngineeringDarmstadt University of TechnologyDarmstadtGermany
  3. 3.P.P. Shirshov Institute of OceanologyRussian Academy of SciencesKaliningradRussia

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