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Tellus 000, 000000 (0000) Printed 7 March 2012 (Tellus LATEX style file v2.2) A new approximation for the dynamics of topographic
 

Summary: Tellus 000, 000000 (0000) Printed 7 March 2012 (Tellus LATEX style file v2.2)
A new approximation for the dynamics of topographic
Rossby waves
By YOSEF ASHKENAZY1
, NATHAN PALDOR2
and YAIR ZARMI1
,
1Solar Energy and Environmental Physics, BIDR, Ben-Gurion University, Midreshet Ben-Gurion, 84990, Israel;
2Institute of Earth Sciences, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel
7 March 2012
ABSTRACT
A new theory of non-harmonic topographic Rossby waves over a slowly varying
bottom depth of arbitrary, one dimensional, profile is developed based on the
linearized shallow water equations on the f-plane. The theory yields explicit
approximate expressions for the phase speed and non-harmonic cross-slope
structure of waves. Analytical expressions are derived in both Cartesian and
Polar coordinates by letting the frequency vary in the cross-shelf direction and
are verified by comparing them with numerical results obtained by running an
ocean general circulation model (the MITgcm). The proposed approximation
may be suitable for studying open ocean and coastal shelf wave dynamics.

  

Source: Ashkenazy, Yossi "Yosef" - Department of Solar Energy and Environmental Physics, Jacob Blaustein Institutes for Desert Research,Ben-Gurion University of the Negev

 

Collections: Physics; Environmental Management and Restoration Technologies