Wave action by arrays of vertical cylinders with arbitrary smooth cross-section

Advances and Challenges in Wave Energy Park Optimization—A Review

“…modes (De Chowdhury and Manasseh, 2017;Wolgamot et al, 2017), interaction distance cut-off (Göteman et al, 2015a), a nearest neighbor approach (Sarkar et al, 2016), and Haskind's relation (Flavià and Clément, 2017) have been introduced. Both the iterative and non-iterative versions of the multiple scattering theory have been further developed and used to model the hydrodynamics of wave energy parks (Ji et al, 2015;Konispoliatis and Mavrakos, 2016;Göteman, 2017;Ruiz et al, 2017;Fang et al, 2018;Giassi and Göteman, 2018;Zheng et al, 2018Zheng et al, , 2019Liu et al, 2019). Several other analytical methods have been developed and used for wave energy park applications, including matched asymptotic expansions (McIver and Evans, 1988), multipole expansions (Linton and Evans, 1993), and Bragg scattering (Li and Mei, 2007).…”

Modelling and Optimisation of Wave Energy Converters

“…These analytical methods have been used to study wave farms in many works [376,659,660,586,414,298,680,283,231,873,871,453], along with being extended in various directions. For instance, the analytical multiple scattering method was coupled to a numerical method to allow for arbitrary body geometry [530], and was further used to study wave farm interactions and the existence of trapped wave modes [245].…”

An Analytical Solution for the Interaction of Waves with Arrays of Circular Cylinders

“…. (16) According to the Sommerfeld radiation condition equation ( 5), the solution of equation (15) which is Hankel function is (1) i,n H n kr i 􏼁,…”

“…e simplified approach was extended to the complementary radiation problem by Kim [11] and for application to incident focused wave groups on an array of circular cylinders by Walker and Taylor [12]. Other interactions between vertical cylinders and incident waves have been studied, such as a group of dual-cylinder systems with a thin and porous outer cylinder and an impermeable inner cylinder subjected to linear waves [13], arrays of elliptical cylinders wherein wave diffraction happened [14], an array of truncated cylinders with arbitrary cross section subjected to small steepness harmonic wave [15], and collections of vertical bottom-mounted cylinders with arbitrary cross section subjected to linear waves [16].…”