Surface gravity wave interaction with a submerged tunnel in the presence of a submerged wavy porous plate

Abstract

The present study deals with the surface gravity wave interaction of a submerged composite wavy porous plate in the presence of a tunnel placed at a finite distance under the assumption of small amplitude theory and a two-dimensional framework. To solve the boundary value problem, a numerical method using the multi-domain boundary element method (MDBEM) is implemented. Hydrodynamic characteristics of interest such as reflection coefficient and transmission coefficient are computed and studied for a wide range of dimensionless wavenumber and relative plate lengths. Various parametric studies are conducted to emphasize the effect of structural parameters like the number of relative ripple wavelengths, relative ripple amplitude, and relative submergence depth. Dimensionless wave force coefficients acting on the plate and the tunnel are calculated and investigated. The study reveals that the presence of composite wavy porous plate has a significant effect in the mitigation of wave-exerted force on the tunnel. Optimized results are shown for the efficient design of coupled breakwater and tunnel models, which can be used beneficially to protect against the severity of wave action in similar applications of ocean engineering in marine environments.

Keywords

Bragg scattering submerged composite wavy plate reflection and transmission coefficients porous structure breakwater surface gravity wave submerged tunnel wave force

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References

Medina-Rodríguez

Bautista

Méndez

. Asymptotic analysis of the interaction between linear long waves and a submerged floating breakwater of wavy surfaces. Appl Ocean Res 2016; 59: 345–365.

Mondal

Takagi

. Wave scattering by a fixed submerged platform over a step bottom. Proc IMechE Part M: J Engineering for the Maritime Environment 2019; 233(1): 93–107.

Drimer

Agnon

Stiassnie

. A simplified analytical model for a floating breakwater in water of finite depth. Appl Ocean Res 1992; 14(1): 33–41.

Abul-Azm

Gesraha

. Approximation to the hydrodynamics of floating pontoons under oblique waves. Ocean Eng 2000; 27(4): 365–384.

Bhattacharjee

Soares

. Oblique wave interaction with a floating structure near a wall with stepped bottom. Ocean Eng 2011; 38(13): 1528–1544.

Kar

Sahoo

Behera

. Effect of Bragg scattering due to bottom undulation on a floating dock. Wave Motion 2019; 90: 121–138.

Kaligatla

Sahoo

. Effect of bottom undulation for mitigating wave-induced forces on a floating bridge. Wave Motion 2019; 89: 166–184.

Chwang

. Water waves above submerged porous plate. J Eng Mech 1994; 120(6): 1270–1282.

Neelamani

Reddy

. Wave transmission and reflection characteristics of a rigid surface and submerged horizontal plate. Ocean Eng 1992; 19(4): 327–341.

10.

Usha

Gayathri

. Wave motion over a twin-plate breakwater. Ocean Eng 2005; 32(8–9): 1054–1072.

11.

Neelamani

Gayathri

. Wave interaction with twin plate wave barrier. Ocean Eng 2006; 33(3–4): 495–516.

12.

Cho

Kim

. Transmission of oblique incident waves by a submerged horizontal porous plate. Ocean Eng 2013; 61: 56–65.

13.

Cho

Koh

Kim

, et al. Wave scattering by dual submerged horizontal porous plates. Ocean Eng 2013; 73: 149–158.

14.

Yueh

C-Y

Chuang

S-H

Wen

C-C

. Bragg reflection of water waves due to submerged wavy plate breakwater. J Hydro-Environ Res 2018; 21: 52–59.

15.

Yueh

C-Y

Chuang

S-H

Wen

C-C

. Wave scattering by submerged composite wavy plate breakwaters using a dual BEM. Ocean Eng 2016; 124: 192–203.

16.

Wang

Shi

P-F

Chen

Y-C

, et al. Study on submerged upper arc-shaped plate type breakwater. China Ocean Eng 2019; 33(2): 219–225.

17.

Vijay

Zhao

, et al. Gravity wave interaction with a submerged wavy porous plate. Ships Offshore Struct 2020; 15: S123–S133.

18.

Mohapatra

Vijay

Sahoo

. Bragg scattering of surface gravity waves by a submerged wavy porous plate. Ocean Eng 2021; 219: 108273.

19.

Mohapatra

Sahoo

. Surface gravity wave interaction with a submerged composite wavy porous plate attached to a vertical wall. J Offshore Mech Arct Eng 2022; 144(1): 011904.

20.

Kunisu

. Evaluation of wave force acting on submerged floating tunnels. Procedia Eng 2010; 4: 99–105.

21.

Yan

Luo

. Dynamic response of submerged floating tunnel in the flow field. Procedia Eng 2016; 166: 107–117.

22.

Paik

Kwon

, et al. Analysis of wave force induced dynamic response of submerged floating tunnel. KSCE J Civ Eng 2004; 8(5): 543–550.

23.

Chen

Cai

, et al. Numerical investigation of dynamic responses and mooring forces of submerged floating tunnel driven by surface waves. Sci Rep 2020; 10(1): 1–19.

24.

Sharma

Kaligatla

Sahoo

. Wave interaction with a submerged floating tunnel in the presence of a bottom mounted submerged porous breakwater. Appl Ocean Res 2020; 96: 102069.

25.

Kaligatla

Sharma

Sahoo

. Wave interaction with a pair of submerged floating tunnels in the presence of an array of submerged porous breakwaters. J Offshore Mech Arct Eng 2021; 143(2): 021402–1.

26.

Vijay

Venkateswarlu

Sahoo

. Bragg scattering of surface gravity waves by an array of submerged breakwaters and a floating dock. Wave Motion 2021; 106: 102807.

27.

Singla

Martha

Sahoo

. Mitigation of structural responses of a very large floating structure in the presence of vertical porous barrier. Ocean Eng 2018; 165: 505–527.

28.

Cho

I-H

. Transmission coefficients of a floating rectangular breakwater with porous side plates. Int J Nav Archit Ocean Eng 2016; 8(1): 53–65.

29.

Singla

Sahoo

Martha

, et al. Effect of a floating permeable plate on the hydroelastic response of a very large floating structure. J Eng Math 2019; 116(1): 49–72.

30.

Katsikadelis

. Boundary elements: theory and applications. Elsevier, 2002.

31.

Nishad

Chandra

Sekhar

. Flows in slip-patterned micro-channels using boundary element methods. Eng Anal Bound Elem 2016; 73: 95–102.

32.

. Functional performance of a submerged and essentially horizontal plate for offshore wave control: a review. Coast Eng J 2002; 44(2): 127–147.

33.

Liu

Y-C

. Wave interaction with a wave absorbing double curtain-wall breakwater. Ocean Eng 2011; 38(10): 1237–1245.

34.

Rohatgi

. WebPlotDigitizer user manual version 4.6. https://automeris.io/WebPlotDigitizer/ (accessed 17 September 2023).

35.

Mohapatra

Sahoo

. Numerical investigation of diffraction and radiation of surface gravity waves by a rectangular structure over a stepped bottom with and without a vertical wall. Ocean Eng 2022; 266: 113007.