Abstract Self-similarity power-laws of wind-wave growth describe idealized cases of fetch-limited and duration-limited conditions. In this paper, a generalized view on wave growth in these two cases is discussed. A parametric model describing uniformly fetch- and duration-limited development of wind waves is suggested. The key assumption of the model is the universality of the self-similar shape of wave spectra for both fetch- and duration-limited conditions. The model justifies the conversion of the data collected at fetch-limited conditions to the data corresponding to duration-limited growth and determines the power-law constants of duration-limited growth from the fetch-limited constants. This general view on wave growth is validated against the experimental data reported previously and wave-gauge data obtained at the Black Sea research platform. As demonstrated, the model tuned through fetch-limited data is also consistent with the field data that correspond to the duration-limited conditions. Possible applications of the suggested parametric model are briefly highlighted.

中文翻译：

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关于获取和持续时间限制的风浪增长：数据和参数模型

摘要 风浪增长的自相似幂律描述了获取受限和持续时间受限条件的理想情况。在本文中，讨论了这两种情况下波浪增长的一般观点。提出了一个参数模型，该模型描述了风浪的均匀获取和持续时间限制的发展。该模型的关键假设是波谱的自相似形状对于获取和持续时间限制条件的普遍性。该模型证明了将在 fetch 限制条件下收集的数据转换为对应于持续时间限制增长的数据的合理性，并根据 fetch-limited 常数确定持续时间限制增长的幂律常数。这种关于波浪增长的一般观点已根据先前报告的实验数据和在黑海研究平台获得的波浪测量数据得到验证。如图所示，通过获取受限数据调整的模型也与对应于持续时间受限条件的字段数据一致。简要强调了建议的参数模型的可能应用。