Wave interaction with a pair of thick barriers over a pair of trenches

References

• Bai KJ. 1975. Diffraction of oblique waves by a infinite cylinder. J Fluid Mech. 68(3):513–535.
   Google Scholar
• Behera H, Ghosh S. 2019. Oblique wave trapping by a surface-piercing flexible porous barrier in the presence of step-type bottoms. J Marine Sci Appl. 18(4):433–443.
   Web of Science ®Google Scholar
• Bender CJ, Dean RG. 2003. Wave transformation by two-dimensional bathymetric anomalies with sloped transitions. Coastal Eng. 50(1–2):61–84.
   Web of Science ®Google Scholar
• Bhattacharjee J, Soares CG. 2010. Wave interaction with a floating rectangular box near a vertical wall with step type bottom topography. J Hydrodyn Ser B. 22(S1):91–96.
   Google Scholar
• Chakraborty R, Mandal BN. 2015. Oblique wave scattering by a rectangular submarine trench. ANZIAM J. 56(3):286–298.
   Web of Science ®Google Scholar
• Dhillon H, Banerjea S, Mandal BN. 2016. Water wave scattering by a finite dock over a step-type bottom topography. Ocean Eng. 113:1–10.
   Web of Science ®Google Scholar
• Evans DV, Fernyhough M. 1995. Edge waves along periodic coastlines. Part 2. J Fluid Mech. 297:307–325.
   Web of Science ®Google Scholar
• Guiney DC, Noye BJ, Tuck EO. 1972. Transmission of water waves through small apertures. J Fluid Mech. 55(1):149–161.
   Google Scholar
• Hu J, Zhao Y, Liu PLF. 2019. A model for obliquely incident wave interacting with a multi-layered object. App Ocean Res. 87(1–4):211–222.
   Google Scholar
• Jung TH, Suh KD, Lee SO, Cho YS. 2008. Linear wave reflection by trench with various shapes. Ocean Eng. 35(11–12):1226–1234.
   Web of Science ®Google Scholar
• Kanoria M. 1999. Water wave scattering by a submerged thick wall with a gap. Appl Ocean Res. 21(2):69–80.
   Web of Science ®Google Scholar
• Kanoria M, Dolai DP, Mandal BN. 1999. Water wave scattering by thick vertical barriers. J Eng Math. 35(4):361–384.
   Web of Science ®Google Scholar
• Karmakar D, Soares CG. 2018. Wave motion control over submerged horizontal plates. J Offshore Mech Aect Eng. 140(3):031101.
   Google Scholar
• Kaur A, Martha SC, Chakrabarti A. 2019. Solution of the problem of propagation of water waves over a pair of asymmetrical rectangular trenches. App Ocean Res. 93(1):101946.
   Google Scholar
• Kincaid GA. 1960. Effects of natural period upon the characteristics of a moored floating breakwater [Doctoral dissertation]. Massachusetts Institute of Technology. Department of Civil Engineering.
   Google Scholar
• Kirby JT, Dalrymple RA. 1983. Propagation of obliquely incident water waves over a trench. J Fluid Mech. 133:47–63.
   Web of Science ®Google Scholar
• Kreisel H. 1949. Surface wave. Q Appl Math. 7(1):21–44.
   Google Scholar
• Lassiter JB. 1972. The propagation of water waves over sediment pockets in [PhD dissertation]. USA: MIT.
   Google Scholar
• Lee JJ, Ayer RM. 1981. Wave propagation over a rectangular trench. J Fluid Mech. 110:335–347.
   Web of Science ®Google Scholar
• Liu HW, Fu DJ, Sun XL. 2013. Analytic solution to the modified mild-slope equation for reflection by a rectangular breakwater with scour trenches. J Eng Mech-ASCE. 139(1):39–58.
   Web of Science ®Google Scholar
• Liu PLF, Wu J. 1987. Wave transmission through submerged apertures. J Wtry Port Coast Ocean Engng. 113(6):660–671.
   Web of Science ®Google Scholar
• Liu Y, Li HJ. 2014. A new semi-analytical solution for gap resonance between twin rectangular boxes. Proc Inst Mech Eng M: J Eng Marit Environ. 228(1):3–16.
   PubMed Web of Science ®Google Scholar
• Mandal BN, Gayen R. 2006. Water wave scattering by bottom undulations in the presence of a thin partially immersed barrier. Appl Ocean Res. 28(2):113–119.
   Web of Science ®Google Scholar
• Mandal BN, Kanoria M. 2000. Oblique wave-scattering by thick horizontal barrier. J Offshore Mech Arctic Eng. 122(2):100–108.
   Web of Science ®Google Scholar
• Mei CC, Black JL. 1969. Scattering of surface waves by rectangular obstacles in water of finite depth. J Fluid Mech. 38(3):499–511.
   Google Scholar
• Miles JW. 1982. On surface-wave diffraction by a trench. J Fluid Mech. 115(-1):315–325.
   Google Scholar
• Newman JN. 1965. Propagation of water waves past long two-dimensional obstacles. J Fluid Mech. 23(01):23–29.
   Google Scholar
• Owen D, Bhatt BS. 1985. Transmission of water waves through a small aperture in a vertical thick barrier. Q J Mech Appl Math. 38(3):379–409.
   Google Scholar
• Paul S, Sasmal A, De S. 2019. Interaction of oblique waves with an ice sheet over an asymmetric trench. Ocean Eng. 193:106613.
   Google Scholar
• Porter R. 1995. Complementary methods and bounds in linear water waves [PhD thesis]. Bristol: School of Mathematics Univ of Bristol.
   Google Scholar
• Roy R, Chakraborty R, Mandal BN. 2016. Propagation of water waves over an asymmetrical rectangular trench. Q J Mech Appl Math. 70:49–64.
   Web of Science ®Google Scholar
• Sasmal A, De S. 2021a. Propagation of oblique water waves by an asymmetric trench in the presence of surface tension. J Ocean Eng Sc. 6(2):206–214.
   Web of Science ®Google Scholar
• Sasmal A, De S. 2021b. Analysis of oblique wave diffraction by rectangular thick barrier in the presence of surface tension. Indian J Phys. 1–13. doi:10.1007/s12648-021-02160-8
   Google Scholar
• Sasmal A, Paul S, De S. 2019. The influence of surface tension on oblique wave scattering by a rectangular trench. J Appl Fluid Mech. 12(1):233–241.
   Web of Science ®Google Scholar
• Soylemez M, Goren O. 2003. Diffraction of Oblique waves by thick rectangular barriers. Appl Ocean Res. 25(6):345–353.
   Web of Science ®Google Scholar
• Sturova IV. 2005. Surface waves induced by external periodic pressure in a fluid with an uneven bottom. J Appl Mech Tech Phys. 46(1):55–61.
   Google Scholar
• Venkateswarlu V, Karmakar D. 2020a. Wave transformation due to barrier-rock porous structure placed on step-bottom. Ships Offshore Struct. 15(8):895–909.
   Web of Science ®Google Scholar
• Venkateswarlu V, Karmakar D. 2020b. Gravity wave trapping by series of horizontally stratified wave absorbers away from seawall. J Offshore Mech Arct Eng. 142(6):061201.
   Web of Science ®Google Scholar
• Venkateswarlu V, Praveen KM, Karmakar D. 2020. Surface gravity wave scattering by multiple energy absorbing structures of variable horizontal porosity. Coast Eng J. 62(4):504–526.
   Web of Science ®Google Scholar
• Vijay KG, Venkateswarlu V, Karmakar D. 2020. Scattering of gravity waves by multiple submerged rubble-Mound breakwaters. Arab J Sci Eng. 45(10):8529–8550.
   Web of Science ®Google Scholar
• Xie JJ, Liu HW. 2012. An exact analytic solution to the modified mild-slope equation for waves propagating over a trench with various shapes. Ocean Eng. 50:72–82.
   Web of Science ®Google Scholar
• Xie JJ, Liu HW, Lin P. 2011. Analytical solution for long-wave reflection by a rectangular obstacle with two scour trenches. J Eng Mech. 137(12):919–930.
   Web of Science ®Google Scholar