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The impact of the spatial variability in bottom roughness on tidal dynamics and energetics, a case study: the M_2 surface tide in the North European Basin

机译:底部粗糙度的空间变化对潮汐动力学和能量学的影响,以案例为例:北欧盆地的M_2表面潮汐

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A modified version of the 3D finite-element hydrostatic model QUODDY-4 is used to quantify the changes in the dynamics and energetics of the M_2 surface tide in the North European Basin, induced by the spatial variability in bottom roughness. This version differs from the original one, as it introduces a module providing evaluation of the drag coefficient in the bottom boundary layer (BBL) and by accounting for the equilibrium tide. The drag coefficient is found from the resistance laws for an oscillatory rotating turbulent BBL over hydrodynamically rough and incompletely rough underlying surfaces, describing how the wave friction factor as well as other resistance characteristics depend on the dimensionless similarity parameters for the BBL. It is shown that the influence of the spatial variability in bottom roughness is responsible for some specific changes in the tidal amplitudes, phases, and the maximum tidal velocities. These changes are within the model noise, while the changes in the averaged (over a tidal cycle) horizontal wave transport and the averaged dissipation of barotropic tidal energy may be of the same orders of magnitude as are the above energetic characteristics as such. Thus, contrary to present views, ignoring the spatial variability in bottom roughness at least in the North European Basin is only partially correct: it is valid for the tidal dynamics, but is liable to break down for the tidal energetics.
机译:使用3D有限元流体静力学模型QUODDY-4的修改版本来量化由底部粗糙度的空间变化引起的北欧盆地M_2潮汐动力学和高能的变化。此版本与原始版本不同,因为它引入了一个模块,该模块提供了对底部边界层(BBL)中的阻力系数的评估并通过考虑平衡潮汐来进行评估。阻力系数是从流体动力粗糙和不完全粗糙的下表面上的振荡旋转湍流BBL的阻力定律中得出的,描述了波浪摩擦系数以及其他阻力特性如何取决于BBL的无量纲相似性参数。结果表明,底部粗糙度的空间变异性影响了潮汐振幅,相位和最大潮汐速度的某些特定变化。这些变化在模型噪声之内,而平均(在一个潮汐周期内)水平波传输和正压潮汐能的平均耗散的变化可能与上述高能特性的变化幅度相同。因此,与目前的观点相反,至少在北欧盆地中忽略底部粗糙度的空间变化只是部分正确的:对于潮汐动力是有效的,但对于潮汐能能很容易分解。

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