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Verification and modification of empirical formulas for computing wave shoaling

机译：计算波浪潜流经验公式的验证与修正

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During the past decades, various empirical formulas have been proposed for computing shoaling wave heights. There are no papers describing the applicability and accuracy of various empirical formulas, based on a wide range of wave conditions. The main objective of this study is to examine the accuracy of 10 empirical formulas, together with the often-used formulas (Shuto's and linear wave formulas), for computing regular wave shoaling. Seventy-one cases of measured shoaling wave heights from six sources of published experimental data were used to examine the formulas. It was found that the Shuto's formula gives the best predictions, while the linear wave formula gives reasonable overall predictions of shoaling wave heights. The best empirical formula has better accuracy than that of the linear wave formula, but has slightly less accuracy than that of Shuto's formula. However, the best empirical formula contains an implicit equation, which has to be solved by an iteration method and may not be convenient in practice. To simplify the calculation, the best empirical formula was modified to an explicit form. The new formula has slightly better accuracy than that of Shuto's formula.
机译：在过去的几十年中，已经提出了各种经验公式来计算浅滩波的高度。没有论文描述基于各种波动条件的各种经验公式的适用性和准确性。这项研究的主要目的是检查10个经验公式以及经常使用的公式（Shuto和线性波动公式）的准确性，以计算规则波浪产生率。从已发布的六个实验数据来源中测得的浅滩波高的71个案例用于检验公式。发现Shuto公式给出了最佳预测，而线性波动公式给出了浅滩波高的合理总体预测。最佳经验公式的精度比线性波动公式的精度高，但精度比Shuto公式的精度稍低。但是，最佳的经验公式包含一个隐式方程，该方程必须通过迭代方法求解，并且在实践中可能并不方便。为了简化计算，将最佳经验公式修改为显式形式。新公式的精确度比Shuto公式的精确度高。

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