An analytical framework is presented to describe the attenuation of regular and irregular waves propagating over floating seaweed farms. Kelp blades suspended on longlines are modelled, as a first approximation, as rigid bars rotating around their upper ends. Assuming small-amplitude blade motions under low to moderate sea conditions, the frequency-dependent transfer function of the rotations can be obtained, with quadratic drag loads linearized. Subsequently, the hydrodynamic problem with regular waves propagating over suspended seaweed canopies is formulated using the continuity equation and linearized momentum equations with additional source terms in the vegetation region. Analytical solutions are obtained for attenuated regular waves with their heights decaying exponentially as they propagate over the canopy. These solutions are utilized as the basis for predicting wave attenuation of irregular waves while stochastic linearization of the quadratic drag loads is employed. In contrast to energy-conservation-based models, which assume the velocity profile follows linear wave theory, the present solution can predict the reduced velocity inside the canopy. The analytical solutions are validated against experimental data and verified against a numerical flow solver. The model is capable of resolving the wave attenuation, along with velocity profiles and phase lag. Drag and inertial force exhibit cancellation effects on wave decay and both affect phase lag.

Zhilong Wei

Morgane Weiss

Trygve Kristiansen

David Kristiansen

Yanlin Shao

Coastal Engineering

海岸工程是海岸工程师和科学家的国际媒体。将实际应用与现代技术和科学方法相结合，例如数学和数值建模、实验室和现场观察和实验，它出版了有关海岸、港口和海洋工程以下方面的基础研究和案例研究：波浪、水流和沉积物运输;沿海、河口和近海形态；沿海和港口结构的技术和功能设计；沿海、港口和近海结构的形态和环境影响。

Coastal Engineering is an international journal for coastal engineers and scientists. It combines practical applications with modern technologies and scientific methods, such as mathematical and numerical modeling, laboratory and field observations and experiments. The journal publishes fundamental and case studies related to coastal, harbor, and marine engineering, covering aspects like wave, water flow, and sediment transport; coastal, estuarine, and offshore morphology; technical and functional design of coastal and harbor structures; and the morphological and environmental impacts of coastal, harbor, and offshore structures.

《Coastal Engineering》是海岸工程师和科学家的国际期刊。它结合了实际应用与现代技术和科学方法，如数学和数值建模、实验室和现场观察与实验，发表关于海岸、港口和海洋工程的基础研究和案例研究。内容涵盖波浪、水流和沉积物运输、沿海、河口和近海形态、沿海和港口结构的技术与功能设计，以及沿海、港口和近海结构的形态与环境影响。

Category	Quartile
工程技术	2
工程技术, 工程大洋	1
工程技术, 工程土木	2

Wave attenuation by cultivated seaweeds: A linearized analytical model

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Journal Info

Category	Quartile
ENGINEERING, OCEAN	1