Abstract

In areas with rough bathymetry, the vertical structure of ocean eddies can be decomposed into “surface modes,” which are surface intensified, and exhibit a velocity of nearly zero at the bottom . Furthermore, ocean surface modes are ubiquitous. Atlases of the first surface mode (SM1) deformation radius were computed on a global \(0.25 \times 0.25^{^\circ }\) grid using WOA2013 and the data from Generalized Digital Environment Model (GDEM). Monthly and seasonal changes were also analyzed. The annual average SM1 deformation radius was approximately 1.5 times larger than the Rossby radius of deformation; the main difference occurred in areas with rough bathymetry, including continental margins and mid-ocean ridges. The seasonal and monthly average SM1 deformation radius shows an evident annual cycle.

Highlights

  • Oceanography has developed rapidly since the appearance of satellites, which provide a means to observe the global ocean surface

  • Gridded sea surface height (SSH) data are available with a spatial resolution of 0.25° and a daily temporal scale

  • We can obtain traditional baroclinic modes; with steep or rough bathymetry, the solution will be another set of orthogonal basis functions “surface modes.”

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Summary

Introduction

Oceanography has developed rapidly since the appearance of satellites, which provide a means to observe the global ocean surface. We can obtain traditional baroclinic modes; with steep or rough bathymetry, the solution will be another set of orthogonal basis functions “surface modes.”. These modes are surface intensified with a velocity of nearly zero at the bottom. LaCase (2017) demonstrated that with realistic bathymetry and/or bottom friction, surface modes are ubiquitous in the ocean This would explain the EOF1 of Wunsch (1997) and de La Lama et al (2016) in many extratropical regions. Its global distribution is given and compared with that of the Rossby deformation radius

Method
Exponential fitting of N
Geographical variability of the deformation radius of the first surface mode
Change of the SM1 deformation radius with seasons and months
Discussion and conclusions
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