Wave diffraction on arc-shaped floating perforated breakwaters

Duan, Junfei; Cheng, J.H.; Wang, Jianping; Wang, Jingquan

doi:10.1007/s13344-012-0023-3

Cited by 20 publications

(5 citation statements)

References 16 publications

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“…3 as the exact steady state profile with and without gravity effect respectively. It also can be compared with the experimental results printed in [9], which is shown in Fig. 4.…”

Section: Numerical Solution Of Eqmentioning

confidence: 99%

“…In terms of many available findings, it has been accepted that the power law formula of diffusivity is applicable for the prediction of water absorption in porous media, i.e. D (θ) = D 0 θ n , where D 0 and n are empirically-fitted constants with n varying in the range between 4 and 6 [9]. As for the conductivity, the following formula was developed by Hall (2006) [10], which was initially used in soil physics, ( )…”

Section: Semi-analytical Solutionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Solutions for Capillary Absorption by Cementitious Materials

Wang

2011

AMM

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Capillary absorption is essential to mass migration in cementitious materials. Based on previous studies, capillary rise involving gravity effects is of much greater interest in porous building materials because equilibrium is attained at the wetting front when gravitational force balance the capillary force. In this paper, two different solution forms, semi-analytical and numerical, are presented to account for the gravity effect for realistical prediction of water penetration process. The former is stable against small perturbation proved by Stepanyants [1]. The comparison of predicted results by the two methods confirms the reliability of the technique in estimating water transport.

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“…3 as the exact steady state profile with and without gravity effect respectively. It also can be compared with the experimental results printed in [9], which is shown in Fig. 4.…”

Section: Numerical Solution Of Eqmentioning

confidence: 99%

Section: Semi-analytical Solutionmentioning

confidence: 99%

Numerical Solutions for Capillary Absorption by Cementitious Materials

Wang

2011

AMM

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“…The latter may have a better performance for the same overall horizontal dimension [44], reflected by vast twinpontoon designs [42]- [45]. Another way that can be regarded as increasing the horizontal dimension of a breakwater is by bending the structure to make its planform a circular arc [46] or V-shaped [47] pattern. By the Fermat principle of least time [48], this method also helps create a greater leeward shadow for the breakwater.…”

Section: Introductionmentioning

confidence: 99%

Wave attenuation and focusing by a parabolic arc pontoon breakwater

Ren

Jin

Liu

et al. 2021

Energy

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“…In the context of curved or cylindrical porous breakwaters, Duan et al. obtained an analytical solution for the problem of wave diffraction by a circular‐arc‐shaped floating perforated breakwater using the method of eigenfunction expansion. Recently, Liu and Li have analyzed the normally incident and oblique wave interaction with a submerged perforated semicircular plate symmetric about a vertical line through its center using a combination of multipole expansions.…”

Section: Introductionmentioning

confidence: 99%

Flexural‐Gravity Wave Scattering by a Circular‐Arc‐Shaped Porous Plate

2016

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The interaction of flexural-gravity waves with a thin circular-arc-shaped permeable plate submerged beneath the ice-covered surface of water with uniform finite depth is considered under the assumption of linear theory. The problem is reduced to a second kind hypersingular integral equation for the potential difference across the plate which is solved approximately by an expansion-collocation method. Utilizing the solution, the reflection and the transmission coefficients and the hydrodynamic forces are evaluated numerically. The focus of the paper is to illustrate the effect of a porous curved plate submerged in finite depth water with an ice-cover on the normally incident waves. Numerical results for a circular-arc-shaped plate for different configurations are derived and represented graphically. Also, by choosing an appropriate set of parameters, the known results for a circulararc-shaped rigid plate submerged in deep water and a semicircular porous plate submerged in finite depth water with a free surface are recovered as special cases.

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Wave diffraction on arc-shaped floating perforated breakwaters

Cited by 20 publications

References 16 publications

Numerical Solutions for Capillary Absorption by Cementitious Materials

Numerical Solutions for Capillary Absorption by Cementitious Materials

Wave attenuation and focusing by a parabolic arc pontoon breakwater

Flexural‐Gravity Wave Scattering by a Circular‐Arc‐Shaped Porous Plate

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