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Trapped rossby waves

Muller1

  • 1Max Planck Institut fur Meteorologie, D-20146 Hamburg, Germany.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 25, 2000
PubMed
Summary
This summary is machine-generated.

This study investigates tidal dynamics with imaginary Lamb parameters, revealing how baroclinicity and geostrophy influence wave behavior. Oblate dynamics, characterized by imaginary Lamb parameters, lead to unique wave guides and eastward-propagating disturbances.

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Area of Science:

  • Oceanography
  • Atmospheric Science
  • Fluid Dynamics

Background:

  • Tidal dynamics with imaginary Lamb parameters have been recognized for over 30 years.
  • Understanding these dynamics requires integrating global circulation features like baroclinicity and geostrophy.

Purpose of the Study:

  • To explore the physics governing tidal dynamics in the imaginary Lamb parameter regime.
  • To incorporate essential global circulation features into tidal dynamics analysis.

Main Methods:

  • Derivation of thermal wind tidal equations using spherical bishallow water theory.
  • Analysis of wave dynamics in inhomogeneous media, considering dispersion relations and wave guide geography.
  • Application of the Margules filter for global Rossby wave specification.

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Main Results:

  • Density surfaces and available potential energy create spatial inhomogeneities in tidal problems.
  • Wave amplitudes are trapped in frequency-dependent regions, forming wave guides.
  • Thermal winds are stable against nondivergent Rossby wave disturbances.
  • Imaginary Lamb parameters arise in oblate Rossby wave dynamics (waves opposing geostrophic wind), featuring pole-centered wave guides and eastward-propagating low-frequency disturbances.

Conclusions:

  • The study elucidates the complex wave dynamics associated with imaginary Lamb parameters.
  • Oblate Rossby wave dynamics present unique phenomena, including specific wave guide structures and eastward-propagating disturbances.
  • Global analysis requires distinct approaches, such as the Margules filter, for accurate Rossby wave specification.