Skip to main content
Log in

Revisiting mesoscale eddy genesis mechanism of nonlinear advection in a marginal ice zone

  • Published:
Acta Oceanologica Sinica Aims and scope Submit manuscript

Abstract

A three-dimensional (3-D) ocean model is coupled with a two-dimensional (2-D) sea ice model, to revisit a nonlinear advection mechanism, one of the most important mesoscale eddy genesis mechanisms in the marginal ice zone. Two-dimensional ocean model simulations suggest nonlinear advection mechanism is more important when the water gets shallower. Instead of considering the ocean as barotropic fluid in the 2-D ocean model, the 3-D ocean model allows the sea ice to affect the current directly in the surface layer via ocean-ice interaction. It is found that both mesoscale eddy and sea surface elevation are sensitive to changes in a water depth in the 3-D simulations. The vertical profile of a current velocity in 3-D experiments suggests that when the water depth gets shallower, the current move faster in each layer, which makes the sea surface elevation be nearly inverse proportional to the water depth with the same wind forcing during the same time. It is also found that because of the vertical motion, the magnitude of variations in the sea surface elevation in the 3-D simulations is very small, being only 1% of the change in the 2-D simulations. And it seems the vertical motion to be the essential reason for the differences between the 3-D and 2-D experiments.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Dumont D, Kohout A, Bertino L. 2011. A wave-based model for the marginal ice zone including a floe breaking parameterization. J Geophys Res, 116(C4): doi: 10.1029/2010JC006682

    Google Scholar 

  • Gula J, Molemaker M J, McWilliams J C. 2015. Topographic vorticity generation, submesoscale instability and vortex street formation in the Gulf Stream. Geophys Res Lett, 42(10): 4054–4062

    Article  Google Scholar 

  • Häkkinen S. 1986. Coupled ice-ocean dynamics in the marginal ice zones: upwelling/downwelling and eddy generation. J Geophys Res, 91(C1): 819–832

    Article  Google Scholar 

  • Hibler W D III. 1979. A dynamic thermodynamic sea ice model. J Phys Oceanogr, 9(4): 815–846

    Article  Google Scholar 

  • Hunke E C, Dukowicz J K. 1997. An elastic-viscous-plastic model for sea ice dynamics. J Phys Oceanogr, 27(9): 1849–1867

    Article  Google Scholar 

  • Hunke E C, Zhang Y. 1999. A comparison of sea ice dynamics models at high resolution. Mon Wea Rev, 127(3): 396–408

    Article  Google Scholar 

  • Johannessen J A, Johannessen O M, Svendsen E, et al. 1987. Mesoscale eddies in the Fram Strait marginal ice zone during the 1983 and 1984 Marginal Ice Zone Experiments. J Geophys Res, 92(C7): 6754–6772

    Article  Google Scholar 

  • Johannessen O M, Johannessen J A, Svendsen E, et al. 1987. Ice-edge eddies in the Fram Strait marginal ice zone. Science, 236(4800): 427–429

    Article  Google Scholar 

  • Lane E M, Restrepo J M, McWilliams J C. 2007. Wave-current interaction: a comparison of radiation-stress and vortex-force representations. J Phys Oceanogr, 37(5): 1122–1141

    Article  Google Scholar 

  • Large W G, McWilliams J C, Doney S C. 1994. Oceanic vertical mixing: a review and a model with a nonlocal boundary layer parameterization. Rev Geophys, 32(4): 363–403

    Article  Google Scholar 

  • Lemarié F, Kurian J, Shchepetkin A F, et al. 2012. Are there inescapable issues prohibiting the use of terrain-following coordinates in climate models?. Ocean Modell, 42: 57–79

    Article  Google Scholar 

  • Liu A K, Häkkinen S, Peng C Y. 1993. Wave effects on ocean-ice interaction in the marginal ice zone. J Geophys Res, 98(C6): 10025–10036

    Article  Google Scholar 

  • Liu A K, Holt B, Vachon P W. 1991. Wave propagation in the marginal ice zone: model predictions and comparisons with buoy and synthetic aperture radar data. J Geophys Res, 96(C3): 4605–4621

    Article  Google Scholar 

  • Liu A K, Mollo-Christensen E. 1988. Wave propagation in a solid ice pack. J Phys Oceanogr, 18(11): 1702–1712

    Article  Google Scholar 

  • McPhee M G. 1975. Ice-ocean momentum transfer for the adjex ice model. ADJEX Bull, 29: 93–111

    Google Scholar 

  • McWilliams J C, Restrepo J M, Lane E M. 2004. An asymptotic theory for the interaction of waves and currents in coastal waters. J Fluid Mech, 511: 135–178

    Article  Google Scholar 

  • Røed L P, O’Brien J J. 1983. A coupled ice-ocean model of upwelling in the marginal ice zone. J Geophys Res, 88(C5): 2863–2872

    Article  Google Scholar 

  • Shchepetkin A F, McWilliams J C. 2005. The regional oceanic modeling system (ROMS): a split-explicit, free-surface, topographyfollowing-coordinate oceanic model. Ocean Modell, 9(4): 347–404

    Article  Google Scholar 

  • Squire V A. 2007. Of ocean waves and sea-ice revisited. Cold Reg Sci Technol, 49(2): 110–133

    Article  Google Scholar 

  • Squire V A, Dugan J P, Wadhams P, et al. 1995. Of ocean waves and sea ice. Annu Rev Fluid Mech, 27(1): 115–168

    Article  Google Scholar 

  • Uchiyama Y, McWilliams J C, Shchepetkin A F. 2011. Wave-current interaction in an oceanic circulation model with a vortex-force formalism: application to the surf zone. Ocean Model, 34(1–2): 16–35

    Google Scholar 

  • Wadhams P, Holt B. 1991. Waves in frazil and pancake ice and their detection in Seasat synthetic aperture radar imagery. J Geophys Res, 96(C5): 8835–8852

    Article  Google Scholar 

  • Wadhams P, Parmiggiani F, de Carolis G. 2002. The use of SAR to measure ocean wave dispersion in frazil-pancake icefields. J Phys Oceanogr, 32(6): 1721–1746

    Article  Google Scholar 

  • Wadhams P, Squire V A, Goodman D J, et al. 1988. The attenuation rates of ocean waves in the marginal ice zone. J Geophys Res, 93(C6): 6799–6818

    Article  Google Scholar 

  • Williams T D, Bennetts L G, Squire V A, et al. 2013a. Wave-ice interactions in the marginal ice zone: Part 1. Theoretical foundations. Ocean Modell, 71: 81–91

    Article  Google Scholar 

  • Williams T D, Bennetts L G, Squire V A, et al. 2013b. Wave-ice interactions in the marginal ice zone: Part 2. Numerical implementation and sensitivity studies along 1D transects of the ocean surface. Ocean Modell, 71: 92–101

    Article  Google Scholar 

  • Yang Haijun, Dai Haijin. 2015. Effect of wind forcing on the meridional heat transport in a coupled climate model: equilibrium response. Climate Dyn, 45(5–6): 1451–1470

    Article  Google Scholar 

Download references

Acknowledgments

The authors are grateful to Kong Wenwen for valuable suggestions and discussions. This work is jointly supported by Zhao Jun and Song Junqiang.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Haijin Dai.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dai, H., Cui, J. & Yu, J. Revisiting mesoscale eddy genesis mechanism of nonlinear advection in a marginal ice zone. Acta Oceanol. Sin. 36, 14–20 (2017). https://doi.org/10.1007/s13131-017-1134-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13131-017-1134-8

Key words

Navigation