波形设置的连续非啮合理论

IF 2.5 3区 工程技术 Q2 MECHANICS European Journal of Mechanics B-fluids Pub Date : 2024-03-18 DOI:10.1016/j.euromechflu.2024.03.001
Saulo Mendes
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引用次数: 0

摘要

波群、洋流和滩涂等海洋过程导致的波场不均匀性会影响平均水位。在这项研究中,我们要解决一个经典的、尚未解决的问题,即连续计算波浪在恒定有限坡度的浅滩上破碎时引起的落差和后续落差。利用现有的理论知识,可以近似地计算有限深度内波浪随机相位的分布。然后,通过波场的非均质谱分析,可以利用相位分布计算集合平均值,并反演具有均匀相位分布的浅滩过程这一特殊情况下的第二矩积分。这样,我就能获得斜率大小对相位分布的直接影响。因此,我提供了在整个水深范围内具有连续性的与坡度相关的分析平均水位。
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A continuous non-ergodic theory for the wave set-up

Inhomogeneities in the wave field due to wave groups, currents, and shoaling among other ocean processes can affect the mean water level. In this work, the classical and unsolved problem of continuously computing the set-down and the following set-up induced by wave breaking on a shoal of constant finite slope is tackled. This is possible by using available theoretical knowledge on how to approximate the distribution of wave random phases in finite depth. Then, the non-homogeneous spectral analysis of the wave field allows the computation of the ensemble average by means of the phase distribution and the inversion of the integral of the second moment for the special case of a shoaling process with uniform phase distribution. In doing so, I am able to obtain a direct effect of the slope magnitude on the phases distribution. Therefore, an analytical and slope-dependent mean water level with continuity over the entire range of water depth is provided.

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来源期刊
CiteScore
5.90
自引率
3.80%
发文量
127
审稿时长
58 days
期刊介绍: The European Journal of Mechanics - B/Fluids publishes papers in all fields of fluid mechanics. Although investigations in well-established areas are within the scope of the journal, recent developments and innovative ideas are particularly welcome. Theoretical, computational and experimental papers are equally welcome. Mathematical methods, be they deterministic or stochastic, analytical or numerical, will be accepted provided they serve to clarify some identifiable problems in fluid mechanics, and provided the significance of results is explained. Similarly, experimental papers must add physical insight in to the understanding of fluid mechanics.
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