Nontraditional approximation in geophysical fluid dynamics

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Title: Nontraditional approximation in geophysical fluid dynamics
Author: Liu, Yurun
Abstract: In the conventional approach to geophysical fluid dynamics , only the horizontal components of the Coriolis force due to horizontal motions of the fluid are taken into account . All the other components of the Coriolis force , which are called the non -traditional (NT ) terms , are considered to be small second order quantities and are usually dropped . This effectively simplifies the system and the nice and clean quasi -geostrophic (QG ) equation can be obtained , which is widely used in analytical studies of climate systems . Interest has been drawn to the dropped terms in recent studies . It is shown that in some special cases these second order terms actually have a noticeable influence on the dynamics of the system . However , a full picture of these terms in the dynamics of the real ocean is still lacking . Here , we will start from the fundamental equations of fluid dynamics , and through careful scaling analysis conduct a detailed study of the governing equations of geophysical fluid dynamics while keeping the NT terms . We will specifically investigate the influence of these NT terms on equatorial waves , since near the equator the NT components of the Coriolis force are the most significant .
URI: http : / /hdl .handle .net /2152 /ETD -UT -2009 -05 -156
Date: 2009-09-03

Citation

Nontraditional approximation in geophysical fluid dynamics. Master's thesis, The University of Texas at Austin. Available electronically from http : / /hdl .handle .net /2152 /ETD -UT -2009 -05 -156 .

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