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Tidal Boundary Layer Flow in Coastal Zones

机译:沿海地区的潮汐边界层流

摘要

A one-dimensional hydrodynamic model with a two-equation turbulence closure has been used to model shallow-water tidal flow over a complex bottom. The intention was to investigate the applicability of the model on tidal flow in coastal zones, where effects of bottom conditions and constrictions due to coastlines and underwater topography are important. This is of interest because near-shore tidal flows are important for transport of biological material and pollutants. In addition, the present model and similar models are time-efficient and require little computational power. The turbulence closure known as the k-epsilon model was used. Field data of current velocities and surface elevation measured outside the coast of the Hebrides, Scotland, have been processed and applied to the model. Frequency spectra of the current was calculated, and the main tidal constituents were identified. The velocity signals were filtered digitally to remove components not related to the tides. It was found that such components were present also in the range of tidal frequencies. These components could not be removed. The model was run with the filtered field velocities at a specific height above the bottom as input. The filtered velocities in four points through the water column were used as references to assess the model results. The effect of the specified bottom roughness was investigated. Impacts of wind and wave conditions and tidal range (the vertical distance between low and high tide) on the model's accuracy were assessed. The former is of interest because effects of atmospheric conditions are believed to make up the most part of current contributions not induced by tides in the filtered data. The latter is of interest because the model assumes a constant water depth.A bottom roughness of 0.0006 cm was found to give the best results. With this roughness, the velocities at a specific vertical position was modeled with very good accuracy. The damping of the flow towards the bottom, however, was much smaller than in the field data. The damping in the field data is very strong. The main reason for this is believed to be the presence of tall seaweed at the bottom, together with boulders. It was found that the predicted boundary layer matched an empirical formula better than what the field data did. With a bottom roughness of 0.050 cm, the predicted boundary layer was a very good fit to the formula. The flow state was found to be hydrodynamically rough with this roughness, and smooth for a bottom roughness of 0.0006 cm, which also indicates that the former roughness gives a more realistic damping than the latter. The velocity profile described by the formula is constant through the upper half of the water column, unlike the profiles in the field data. The formula has previously been verified against field measurements including shallow-water flow. Hence, we know that tidal flows may exhibit such boundary layers also in shallow water. A tendency indicating that increasing wave activity decreases the model s accuracy was found, but a conclusion could not be drawn, because the accuracy difference was small. So was the difference between periods of low and high tidal ranges. A tendency was found, however, that for high tidal ranges, the tidal ellipses were rotated clockwise relative to the field data. This corresponds to the conclusions of the pre-master project thesis.The main conclusion is that the results are relatively good, the simplicity and efficiency of the model taken into account. In its present form, the model is not applicable for predictions of transport of biological material, pollutants or other material in the specific complex conditions in the present field data. However, the results indicate that the model might be able to model shallow-water tidal flow boundary layers with better accuracy than obtained here, if the conditions are less complex. It is proposed that further works may assess this indication, and address the different types of boundary layers found in coastal tidal flows. An attempt of implementing the effect of seaweed in the model could also be made, as this is assumed to be the main reason for the discrepancies between the field data and the model results.
机译:具有两方程湍流闭塞的一维水动力模型已经用于模拟复杂底部的浅水潮流。目的是研究该模型在沿海地区的潮汐流动中的适用性,在这些地区,由于海岸线和水下地形而导致的底部条件和收缩的影响很重要。这是令人感兴趣的,因为近岸潮流对生物材料和污染物的运输很重要。另外,本模型和类似模型是省时的并且需要很少的计算能力。使用了称为k-ε模型的湍流闭合。已经处理了在苏格兰赫布里底海岸以外测量的当前速度和地面高程的现场数据,并将其应用于该模型。计算了电流的频谱,并确定了主要的潮汐成分。对速度信号进行数字滤波,以去除与潮汐无关的分量。发现这些成分也存在于潮汐频率范围内。这些组件无法删除。运行模型时,将过滤后的场速在底部上方特定高度的区域作为输入。通过水柱的四个点处的过滤速度用作评估模型结果的参考。研究了规定的底部粗糙度的影响。评估了风浪条件和潮汐范围(潮汐高低之间的垂直距离)对模型精度的影响。前者很有趣,因为据信大气条件的影响构成了过滤数据中非潮汐引起的电流贡献的大部分。后者很有趣,因为该模型假设水深恒定。发现底部粗糙度为0.0006 cm可获得最佳结果。有了这种粗糙度,就可以非常精确地模拟特定垂直位置的速度。但是,流向底部的阻尼比现场数据要小得多。现场数据的阻尼非常大。据信,其主要原因是底部有高大的海藻以及巨石。已经发现,预测的边界层比经验数据更好地匹配了经验公式。底部粗糙度为0.050 cm,预测的边界层非常适合该公式。发现具有该粗糙度的流动状态在流体力学上是粗糙的,并且对于0.0006cm的底部粗糙度是平滑的,这还表明前者的粗糙度比后者具有更真实的阻尼。该公式描述的速度曲线在水柱的上半部分是恒定的,这与现场数据中的曲线不同。该公式先前已针对包括浅水流在内的现场测量进行了验证。因此,我们知道潮汐流在浅水中也可能表现出这种边界层。发现了一种趋势,表明增加的波浪活动降低了模型的精度,但由于精度差异较小,因此无法得出结论。低潮期和高潮期之间的差异也是如此。然而,发现趋势是,对于高潮汐范围,潮汐椭圆相对于现场数据顺时针旋转。这与预硕士项目论文的结论相对应。主要结论是,结果相对较好,并考虑了模型的简单性和有效性。以目前的形式,该模型不适用于预测本领域数据中特定复杂条件下生物材料,污染物或其他材料的运输。但是,结果表明,如果条件不那么复杂,该模型可能能够以比此处获得的更好的精度对浅水潮汐流边界层进行建模。建议进一步的工作可以评估这种迹象,并解决沿海潮汐流中边界层的不同类型。还可以尝试在模型中实现海藻的效果,因为这被认为是造成田间数据与模型结果之间存在差异的主要原因。

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