Some properties of tidal currents estimated from analytical and LES simulation studies

Wakata, Yoshinobu

doi:10.1007/s10872-013-0204-6

J Oceanogr

2013

DOI: 10.1007/s10872-013-0204-6

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Some properties of tidal currents estimated from analytical and LES simulation studies

Yoshinobu Wakata

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Cited by 3 publications

References 33 publications

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Scalings of the tidally induced bottom boundary layer in a shallow sea under a surface heating

et al. 2016

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We have investigated properties of the tidally-induced bottom boundary layer (TBBL) in a shallow sea under a surface heating, by scale argument and DNS (Direct Numerical Simulation) experiment. Applying the existing scalings of the boundary layer, it is found that the height of TBBL H tbbl and the efficiency of tidal mixing ϵ are scaled to (u 4 * H/|σ + f |Bs) 1/3 and H hom /H tbbl , respectively, where u * is the friction velocity, σ the tidal frequency, f the inertial frequency (the Coriolis parameter), Bs the surface buoyancy flux, H the water depth, and H hom = u * /|σ + f | the height of TBBL in a homogeneous ocean. Results of DNS experiment agree with these scalings for fairly wide ranges of u * (or tidal amplitude U tide), H, Bs, and |σ/f |. In exceptional cases with slower Earth's rotations, weaker tidal flows, and shallower water depths, turbulence occurs intermittently and the scaling underestimates H tbbl and ϵ. The efficiency of tidal mixing ϵ varies from less than 1% to 7% for the experimental range. This variation can partly explain the reason why the critical value of Simpson-Hunter parameter which is an index of the position of tidal mixing front is different from place to place around the world.

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Scalings of the tidally induced bottom boundary layer in a shallow sea under a surface heating

et al. 2016

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LES study of near-seabed tide-induced turbulence in the East China Sea

Wakata

Endoh

Yoshikawa

2017

Continental Shelf Research

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LES Study of Vertical Eddy Diffusivity Estimation in Bottom Boundary Layers

Wakata

2018

Journal of Physical Oceanography

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Osborn’s method is commonly used to obtain diffusion coefficient K from the turbulent dissipation rate ε. This method is the relational expression . The dissipation flux coefficient is often set to a constant value of 0.2, but this study of LES revealed that varies greatly vertically in the bottom boundary layer because of the influence of the seabed. Consequently, the eddy diffusion coefficient is overestimated in the lower part of the bottom boundary, but it is slightly underestimated in the upper part. Therefore, Osborn’s method with constant cannot give the correct diffusivity. Furthermore, even if treating as a function of flux Richardson number , as defined originally by Osborn, the estimation is underestimated by the advection effect because of the influence of spatial nonuniformity. Energy budget analysis revealed that this defect can be improved using the extended flux Richardson number, which can be estimated by multiplying using a constant correction factor. Furthermore, we proposed two alternative estimation methods. For the first method, which estimates the relation between and the gradient Richardson number , can be expressed with instead of with a correction factor. We can estimate the reasonable diffusivity if we have current data supplementary to obtain . For the second method, can be expressed as a similarity function of the height above the bottom normalized by the Ozmidov scale. This method can provide an acceptable estimate of diffusivity without current data for several circumstances.

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Some properties of tidal currents estimated from analytical and LES simulation studies

Cited by 3 publications

References 33 publications

Scalings of the tidally induced bottom boundary layer in a shallow sea under a surface heating

Scalings of the tidally induced bottom boundary layer in a shallow sea under a surface heating

LES study of near-seabed tide-induced turbulence in the East China Sea

LES Study of Vertical Eddy Diffusivity Estimation in Bottom Boundary Layers

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