Abstract This paper presents a study on reconstruction errors of wave force around a circular cylinder using measured wave elevation data through theoretical analysis and experimental validation. Since the accuracy of reconstructed results is directly subjected to the collected data of wave elevation, some unexpected errors can be injected into the results as the data are not informative enough. A mathematical analysis is presented first, which considers the wave gauges uniformly distributed around the cylinder with the number of three, five, seven and nine. Amplitude error and phase error of the reconstructed wave force are defined to quantify the effect of distribution and number of wave gauges. An experiment was conducted to validate the theoretical results for both amplitude and phase errors. It shows that experimental data with three wave gauges can be well predicted by using theoretical analysis. Based on the theoretical results, an amended method is proposed to improve the reconstructed results with three wave gauges. The amended method is proved by the test data to be an efficient method in some specific situations. Finally, a comprehensive discussion on the difference between two kinds of processing method of the reconstructed wave force is performed.

中文翻译：

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利用波高数据重构圆柱体波浪力的误差分析

摘要 本文通过理论分析和实验验证，利用实测波浪高程数据，对圆柱周围波浪力的重建误差进行了研究。由于重建结果的准确性直接取决于所收集的波高数据，由于数据信息不足，可能会在结果中注入一些意想不到的错误。首先进行数学分析，它考虑了均匀分布在圆柱体周围的波规，其数量为三、五、七和九。重构波浪力的幅度误差和相位误差被定义为量化波规分布和数量的影响。进行了一项实验以验证幅度和相位误差的理论结果。结果表明，利用理论分析可以很好地预测三个波规的实验数据。在理论结果的基础上，提出了一种改进方法，以改善三波规的重构结果。试验数据证明修正后的方法在某些特定情况下是一种有效的方法。最后，综合讨论了两种重构波浪力处理方法的区别。