Baroclinic Kelvin Waves in a Rotating Circular Basin

R. N. Ibragimov

Mathematical Modelling of Natural Phenomena (2012)

  • Volume: 7, Issue: 2, page 38-51
  • ISSN: 0973-5348

Abstract

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A linear, uniformly stratified ocean model is used to investigate propagation of baroclinic Kelvin waves in a cylindrical basin. It is found that smaller wave amplitudes are inherent to higher mode individual terms of the obtained solutions that are also evanescent away of a costal line toward the center of the circular basin. It is also shown that the individual terms if the obtained solutions can be visualized as spinning patterns in rotating stratified fluid confined in a circular basin. Moreover, the fluid patterns look rotating in an anticlockwise sense looking above the North Pole and that spinning is more intensive for smaller mode numbers. Finally, we observe the existence of the oceanic region where the pressure increases relatively rapidly with the depth.

How to cite

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Ibragimov, R. N.. "Baroclinic Kelvin Waves in a Rotating Circular Basin." Mathematical Modelling of Natural Phenomena 7.2 (2012): 38-51. <http://eudml.org/doc/222421>.

@article{Ibragimov2012,
abstract = {A linear, uniformly stratified ocean model is used to investigate propagation of baroclinic Kelvin waves in a cylindrical basin. It is found that smaller wave amplitudes are inherent to higher mode individual terms of the obtained solutions that are also evanescent away of a costal line toward the center of the circular basin. It is also shown that the individual terms if the obtained solutions can be visualized as spinning patterns in rotating stratified fluid confined in a circular basin. Moreover, the fluid patterns look rotating in an anticlockwise sense looking above the North Pole and that spinning is more intensive for smaller mode numbers. Finally, we observe the existence of the oceanic region where the pressure increases relatively rapidly with the depth.},
author = {Ibragimov, R. N.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {internal gravity waves; group analysis of differential equations; Earth's rotation; Coriolis forces; Boussinesq approximation},
language = {eng},
month = {2},
number = {2},
pages = {38-51},
publisher = {EDP Sciences},
title = {Baroclinic Kelvin Waves in a Rotating Circular Basin},
url = {http://eudml.org/doc/222421},
volume = {7},
year = {2012},
}

TY - JOUR
AU - Ibragimov, R. N.
TI - Baroclinic Kelvin Waves in a Rotating Circular Basin
JO - Mathematical Modelling of Natural Phenomena
DA - 2012/2//
PB - EDP Sciences
VL - 7
IS - 2
SP - 38
EP - 51
AB - A linear, uniformly stratified ocean model is used to investigate propagation of baroclinic Kelvin waves in a cylindrical basin. It is found that smaller wave amplitudes are inherent to higher mode individual terms of the obtained solutions that are also evanescent away of a costal line toward the center of the circular basin. It is also shown that the individual terms if the obtained solutions can be visualized as spinning patterns in rotating stratified fluid confined in a circular basin. Moreover, the fluid patterns look rotating in an anticlockwise sense looking above the North Pole and that spinning is more intensive for smaller mode numbers. Finally, we observe the existence of the oceanic region where the pressure increases relatively rapidly with the depth.
LA - eng
KW - internal gravity waves; group analysis of differential equations; Earth's rotation; Coriolis forces; Boussinesq approximation
UR - http://eudml.org/doc/222421
ER -

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