Abstract
Using large eddy simulation (LES) incorporating the effect of the horizontal component of the earth’s rotation vector, we studied the seafloor turbulent boundary layer to investigate the dependence of the boundary layer thickness on the overlying geostrophic flow orientation. The thickest boundary layer appears for the westward geostrophic flow: it is almost twice that of the eastward flow. The turbulent disturbances in the boundary layer are elongated slightly leftward relative to the geostrophic flow. Linear stability analysis for the Ekman’s spiral flow showed that the growth rate is maximum for the westward geostrophic flow and the unstable roll-like mode appears, which points slightly leftward relative to the geostrophic flow. These properties correspond to the feature near the bottom of the developed turbulent layer.
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References
Coleman GN, Ferziger JH, Spalart PR (1990) A numerical study of the turbulent Ekman layer. J Fluid Mech 213:313–348
Deardorff JW (1980) Stratocumulus-capped mixed layers derived from a three-dimensional model. Bound Layer Meteorol 18(4):495–527
Ekman VW (1905) On the influence of the earth’s rotation on ocean currents. Arch Math Astron Phys 2:1–52
Garcez-Faria AF, Thornton EB, Stanton TP, Soares CV, Lippmann TC (1998) Vertical profiles of longshore currents and related bed shear stress and bottom roughness. J Geophys Res 103(C2):3217–3232
Leibovich S, Lele SK (1985) The influence of the horizontal component of Earth’s angular velocity on the instability of the Ekman layer. J Fluid Mech 150:41–87
Raasch S, Schröter M (2001) PALM-A large-eddy simulation model performing on massively parallel computers. Meteor Z 10(5):363–373
Wakata Y (2010) Numerical simulation of ocean bottom boundary layer. Theor Appl Mech Jpn 58:145–151
Zikanov O, Slinn DN, Dhanak MR (2003) Large-eddy simulations of the wind-induced turbulent Ekman layer. J Fluid Mech 495:343–368
Acknowledgments
The author thanks Drs. S. Raasch, Y. Noh and J.-H. Yoon for helping the use of PALM and valuable discussions. He also thanks for Drs. Y. Yoshikawa and T. Endo for helpful discussions. This work is supported in part by a Grant-in-Aid for Scientific Research (B) from the Ministry of Education, Culture, Sports, Science, and Technology (22340140).
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Wakata, Y. Dependence of seafloor boundary layer thickness on the overlying flow direction: a large eddy simulation study. J Oceanogr 67, 667–673 (2011). https://doi.org/10.1007/s10872-011-0068-6
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DOI: https://doi.org/10.1007/s10872-011-0068-6