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Comparing the linear and nonlinear buoyancy-driven circulation Cover

Comparing the linear and nonlinear buoyancy-driven circulation

By:  and    
Open Access
|Jan 2017

Figures & Tables

Figure 1.

The boundary layer structure in the linear model.

Figure 2.

Horizontal velocity at the surface in the linear model (left) and MITgcm (right). The arrows indicate the direction and the colors indicate the strength of the flow.

Figure 3.

Mid-basin transects of the zonal velocity at 35E in the linear model (left) and in MITgcm (right).

Figure 4.

Cross-sections of the meridional velocity at 30N (lower row) and 60N (upper row) for the linear model (left column) and MITgcm (right column).

Figure 5.

Depth-integrated vertical velocity for the linear model (left) and MITgcm (right). In the north and south, only the vertical velocities associated with vertical mixing are shown, as only these contribute to the area-averaged w. The wave-like disturbances in the north in the MITgcm simulation are linked to convection (rather than numerical instability).

Figure 6.

Zonally averaged potential temperature (top) and convective adjustment index (bottom). In areas where the index is greater than zero, the vertical diffusivity is large due to enhanced mixing.

Figure 7.

A schematic illustrating the differences in the surface flow between the linear and nonlinear models.

Figure 8.

Left: A vertical profile of the mean zonal velocity in the convective region in MITgcm (blue line) and calculated according to Equation (18) (yellow line). Right: The mean stratification in convective region (blue line) and just south of the convective region (yellow line) in MITgcm.

Figure 9.

Horizontal (blue arrows and numbers) and vertical (boxes - red numbers indicate upwelling while blue numbers indicate downwelling) transports for the upper 1200 m in MITgcm. All transports are given in Sv.

Figure 10.

The meridional overturning streamfunction, Ψ(θ,z), for the (top) linear model and (bottom) MITgcm. Positive Ψ indicates clockwise rotation. Top figure: The linear model exhibits two overturning cells confined to the southern and northern part of the basin. Bottom figure: MITgcm exhibits one positive overturning cell spanning the basin and one narrow, negative cell in the north. The latter is a consequence of the no-slip condition at the northern wall.

Figure 11.

Maximum overturning (dark blue), northern boundary layer width (light blue), north-east downwelling (red), meridional heat transport at 47N (brown) and heat transport in the southern boundary layer (green) sensitivity to vertical mixing, κv. The maximum overturning include three values from Winton (1996), scaled by 0.7.

Figure 12.

Terms in the buoyancy equation in the western boundary region, at 30N and 300 m depth from MITgcm.

Figure 13.

Scaling of the width of the western boundary current (black line) vs. Munk layer (orange line), the Coriolis frequency f (blue line) and f2 (dark green line).

Language: English
Page range: 1299282 - 1299282
Submitted on: Dec 22, 2016
Accepted on: Jan 23, 2017
Published on: Jan 1, 2017
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2017 A. Gjermundsen, J. H. Lacasce, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.