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Mixed layer depth front and subduction of low potential vorticity water under seasonal forcings in an idealized OGCM

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Abstract

The mixed layer depth (MLD) front and subduction under seasonal variability are investigated using an idealized ocean general circulation model (OGCM) with simple seasonal forcings. A sharp MLD front develops and subduction occurs at the front from late winter to early spring. The position of the MLD front agrees with the curve where \({\rm D}T_{s}/{\rm D}{t} = {\delta} T_s/{\delta}t\,+\,{u}_g \cdot \nabla T_s = 0\) 0 is satisfied (t is time, u g is the upper-ocean geostrophic velocity, T s is the sea surface temperature (SST), and \(\nabla\) is the horizontal gradient operator), indicating that thick mixed-layer water is subducted there parallel to the SST contour. This is a generalization of the past result that the MLD front coincides with the curve \(u_g\cdot\nabla T_{\rm s}\) when the forcing is steady. Irreversible subduction at the MLD front is limited to about 1 month, where the beginning of the irreversible subduction period agrees with the first coincidence of the MLD front and DT s/Dt in late winter, and the end of the period roughly corresponds to the disappearance of the MLD front in early spring. Subduction volume at the MLD front during this period is similar to that during 1 year in the steady-forcing model. Since the cooling of the deep mixed-layer water occurs only in winter and SST can not fully catch up with the seasonally varying reference temperature of restoring, the cooling rate of SST is reduced and the zonal gradient of the SST in the northwestern subtropical gyre is a little altered in the seasonal-forcing case. These effects result in slightly lower densities of subducted water and the eastward shift of the MLD front.

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Acknowledgements

The authors thank Prof. Hiroyasu Hasumi for offering COCO. Many comments and suggestions from the reviewers were very helpful in improving the manuscript. The numerical experiments were performed on the supercomputer, HITACHI SR8000, at the Information Initiative Center, Hokkaido University. Most of the figures were produced with the GFD-DENNOU Library.

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Correspondence to Shiro Nishikawa .

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© 2011 The Oceanographic Society of Japan and Springer

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Nishikawa, S., Kubokawa, A. (2011). Mixed layer depth front and subduction of low potential vorticity water under seasonal forcings in an idealized OGCM. In: Kubokawa, A., Xie, SP., Kobashi, F., Mitsudera, H. (eds) New Developments in Mode-Water Research. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54162-2_4

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