Sarah Balkissoon, Y. Charles Li, Anthony R. Lupo, Samuel Walsh, Lukas McGuire
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引用次数: 0
摘要
尺寸分析表明,风速与最大或平均水波高度之间的关系形式为 H=cU02g,其中 H 为风速 U0 引起的最大或平均水波高度,g 为重力加速度,c 为无量纲常数。这一关系对于预测热带气旋引起的最大或平均水波高度非常重要。首先,介绍了确定 c 的数学和理论依据。以四个热带气旋为案例进行验证,使用显著波高而不是总体最大值和平均值来确定 c。对观测到的 c 值进行了统计分析。在固定浮标捕捉到最高风速的日子里,c 的数据频率分布接近钟形,与平均值相比,标准偏差非常小;因此,平均值为 c 提供了良好的预测。这种方法提供了在给定 c 值的情况下预测波高或风速的直接方法,并可作为一种插值方法来提高数据的时间分辨率。
On the Relation between Wind Speed and Maximum or Mean Water Wave Height
Dimensional analysis shows that the relation between wind speed and maximum or mean water wave height takes the form H=cU02g, where H is the maximum or mean water wave height caused by wind of speed U0, g is the gravitational acceleration, and c is a dimensionless constant. This relation is important in predicting the maximum or mean water wave height caused by a tropical cyclone. Firstly, the mathematical and theoretical justification for determining c is presented. Verification is conducted using four tropical cyclones as case studies for determining c using significant wave heights rather than the overall maximum and mean. The observed values of c are analyzed statistically. On the days when the fixed buoy captured the highest wind speeds, the frequency distributions of the data for c are close to a bell shape with very small standard deviations in comparison with the mean values; thus, the mean values provide good predictions for c. In view of the fact that tropical cyclone waves are turbulent and the background waves caused by many other factors such as lunar tidal effect cannot be ignored, the obtained results for c are quite satisfactory. This method provides a direct approach in the prediction of the wave height or the wind speeds given the c value and can serve an interpolation methodology to increase the temporal resolution of the data.
期刊介绍:
Atmosphere (ISSN 2073-4433) is an international and cross-disciplinary scholarly journal of scientific studies related to the atmosphere. It publishes reviews, regular research papers, communications and short notes, and there is no restriction on the length of the papers. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. Full experimental and/or methodical details must be provided for research articles.