Semi-analytical solution of cnoidal wave diffraction around a double-layer arc-shaped vertical porous breakwater

Zhai, Zhenfeng; Shao, Yanlin; Wang, Kai; Huang, Hua; Li, Hao

doi:10.1016/j.jfluidstructs.2021.103261

Cited by 16 publications

(4 citation statements)

References 52 publications

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“…Zhao et al [14] conducted research on the interaction between waves and a submerged porous bar protecting a vertical wall that can reflect waves in part; accordingly, they determined that the wave resonance disappears when the vertical wall has a small reflection coefficient. Zhai et al [15][16][17] investigated the diffraction of water waves by a concentric dual-arc breakwater using a theoretical method. From the interaction results between regular waves and permeable systems with the same axis, whose smooth sections can be arbitrary, Liu et al [18] determined a solution to the problem.…”

Section: Introductionmentioning

confidence: 99%

Short-Crested Wave–Current Forces on a Concentric System with an ARC Exterior Porous Wall

Jin

Liú

et al. 2023

JMSE

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In this study, the potential flow theory is adopted to develop an analytical solution to the diffraction problem of a short-crested wave–current incident on a concentric system consisted of an arc exterior wall and interior cylinder. The influence of the uniform current on the hydrodynamic performance of the concentric structure is primarily discussed. The incident angle and speed of the uniform current significantly influence the short-crested wave force and run-up on the concentric structure. Specific parametric conditions are obtained, under which the wave structure can resonate, and the resonance phenomenon may be more pronounced when the wave and current have the same incidence direction. Furthermore, semi-enclosed structures are highly sensitive to the direction of wave incidence, thereby triggering certain limitations in engineering applications. This study is expected to contribute as theoretical guidance to nearshore architecture designs.

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Section: Introductionmentioning

confidence: 99%

Short-Crested Wave–Current Forces on a Concentric System with an ARC Exterior Porous Wall

Jin

Liú

et al. 2023

JMSE

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“…Since porous structures dissipate wave energy, it is widely used in coastal engineering (Takahashi et al, 2003;Huang et al, 2011;Liu and Li, 2013;Mackay and Johanning, 2020;Zhai et al, 2021;Zheng et al, 2020). Meanwhile, porous structures are also expected to protect the offshore structures from 2 heavy loads triggered by sea waves (Sun and Jahangiri, 2017).…”

Section: Introductionmentioning

confidence: 99%

“…Williams et al (2000) theoretically studied the wave diffraction from a floating cylinder whose middle part is porous and found that the porous portion affects the wave forces significantly. Teng et al (2000;2001), Sun et al (2005), Ning et al (2017), Liang et al (2020), and Mackay et al (2019;2021) investigated hydrodynamic characteristics of the cylinder with porous sidewall. They found that the wave loads on the inner cylinder can be effectively reduced by properly designing the upper porous wall.…”

Section: Introductionmentioning

confidence: 99%

Wave scattering by a vertical cylinder with a submerged porous plate: Further analysis

Zhao

Geng

et al. 2022

Ocean Engineering

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“…The typical concentric cylindrical structure was later investigated under different types of incident waves. The interactions between such structures and different types of waves, such as solitary waves [8,9], short-crested waves [10], and cnoidal waves [11,12], have been studied by several researchers. Additionally, many studies have focused on the modification of concentric cylindrical structures to develop a concentric dual-arc structure [13], truncated cylinder with an upper porous cylinder [14], or floating compound porous cylinder [15].…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution for Wave Diffraction by a Concentric Three-Cylinder System near a Vertical Wall

Zhai

Xia

et al. 2021

Mathematics

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In this study, a semi-analytical model was developed to study wave diffraction around a concentric three-cylinder system near a wall based on linear potential theory. As a critical element, the target problem is transformed into bidirectional incident wave diffraction around two concentric structures based on the image principle and an analytical solution is obtained through eigenfunction expansion combined with a matching technique and Graf’s addition theorem. The validity of the proposed model was verified by comparing its results to known values. Parametric studies on porosity, annular spacing, incident angle, space between the structure and wall, and water depth were performed. The hydrodynamic loads and free-surface elevations in the system were calculated and compared to those reported in existing works on impermeable and permeable cylinders near a wall. The results indicate that the wave loads and run-ups on the exterior cylinder increase significantly based on the existence of the wall. However, based on the presence of an exterior porous protective structure, a significantly reduced influence of the wall on the interior cylinder can be observed. Considering the widespread use of concentric circular structures in ocean engineering, it is essential to conduct study on the hydrodynamic performance of concentric systems near walls, which can provide useful information for the design of marine structures.

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Semi-analytical solution of cnoidal wave diffraction around a double-layer arc-shaped vertical porous breakwater

Cited by 16 publications

References 52 publications

Short-Crested Wave–Current Forces on a Concentric System with an ARC Exterior Porous Wall

Short-Crested Wave–Current Forces on a Concentric System with an ARC Exterior Porous Wall

Wave scattering by a vertical cylinder with a submerged porous plate: Further analysis

Analytical Solution for Wave Diffraction by a Concentric Three-Cylinder System near a Vertical Wall

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