| [1] |
Phillips, O. M., On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions, J. Fluid Mech., 9, 2, 193-217 (1960) · Zbl 0094.41101 |
| [2] |
Hammack, J. L.; Henderson, D. M., Resonant interactions among surface water waves, Annu. Rev. Fluid Mech., 25, 1, 55-97 (1993) |
| [3] |
Liao, S. J., On the homotopy multiple-variable method and its applications in the interactions of nonlinear gravity waves, Commun. Nonlinear Sci. Numer. Simul., 16, 3, 1274-1303 (2011) · Zbl 1221.76046 |
| [4] |
McIver, P., Complex resonances in the water-wave problem for a floating structure, J. Fluid Mech., 536, 423-443 (2005) · Zbl 1073.76007 |
| [5] |
Hedges, T. S., Combinations of waves and currents: an introduction, Proc. Inst. Civ. Eng., 82, 567-585 (1987) |
| [6] |
Taylor, G. I., The action of a surface current used as a breakwater, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 231, 466-478 (1955) |
| [7] |
Peregrine, D. H., Interaction of water waves and currents, Adv. Appl. Mech., 16, 97-117 (1976) · Zbl 0471.76018 |
| [8] |
Jonsson, I. G.; Wang, J. D., Current-depth refraction of water waves, Ocean Eng., 7, 153-171 (1980) |
| [9] |
Squire, V. A., Synergies between VLFS hydroelasticity and sea ice research, Int. J. Offshore Polar Eng., 18, 4, 241-253 (2008) |
| [10] |
Watanabe, E.; Utsunomiya, T.; Wang, C. M., Hydroelastic analysis of pontoon-type VLFS: a literature survey, Eng. Struct., 26, 2, 245-256 (2004) |
| [11] |
Hermans, A. J., A boundary element method for the interaction of free-surface waves with a very large floating flexible platform, J. Fluilds Struct., 14, 7, 943-956 (2000) |
| [12] |
Sahoo, T.; Yip, T. L.; Chwang, A. T., Scattering of surface waves by a semi-infinite floating elastic plate, Phys. Fluids, 13, 3215-3222 (2001) · Zbl 1184.76470 |
| [13] |
Bhattacharjee, J.; Sahoo, T., Interaction of current and flexural gravity waves, Ocean Eng., 34, 11, 1505-1515 (2007) |
| [14] |
Schulkes, R.; Sneyd, A., Time-dependent response of floating ice to a steadily moving load, J. Fluid Mech., 186, 25-46 (1988) · Zbl 0646.76028 |
| [15] |
Das, S.; Sahoo, T.; Meylan, M. H., Dynamics of flexural gravity waves: from sea ice to hawking radiation and analogue gravity, Proc. R. Soc. A. Math. Phys. Eng. Sci., 474, 2209, Article 20170223 pp. (2018) · Zbl 1402.76024 |
| [16] |
Saha, S.; Mohanty, S. K.; Bora, S. N., Flexural gravity wave resonance in the presence of current, J. Waterw. Port Coast. Ocean Eng., 148, 3, Article 04022003 pp. (2022) |
| [17] |
Behera, H.; Ng, Chiu-On; Sahoo, T., Oblique wave scattering by a floating elastic plate over a porous bed in single and two-layer fluid systems, Ocean Eng., 159, 280-294 (2018) |
| [18] |
Hassan, M.; Meylan, M. H.; Peter, M. A., Water-wave scattering by submerged elastic plates, Q. J. Mech. Appl. Math., 62, 3, 321-344 (2009) · Zbl 1170.76010 |
| [19] |
Kirby, J., A general wave equation for waves over rippled beds, J. Fluid Mech., 162, 171-186 (1986) · Zbl 0596.76017 |
| [20] |
Martha, S. C.; Bora, S. N.; Chakrabarti, A., Oblique water-wave scattering by small undulation on a porous sea-bed, Appl. Ocean Res., 29, 86-90 (2007) |
| [21] |
Wang, C. M.; Meylan, M. H., The linear wave response of a floating thin plate on water of variable depth, Appl. Ocean Res., 24, 3, 163-174 (2002) |
| [22] |
Kar, P.; Sahoo, T.; Meylan, M. H., Bragg scattering of long waves by an array of floating flexible plates in the presence of multiple submerged trenches, Phys. Fluids, 32, 9, Article 096603 pp. (2020) |
| [23] |
Debnath, L., On transient development of surface waves due to two dimensional sources, Acta Mech., 11, 185-202 (1971) · Zbl 0229.76009 |
| [24] |
Lu, D. Q.; Dai, S. Q., Flexural- and capillary-gravity waves due to fundamental singularities in an inviscid fluid of finite depth, Internat. J. Engrg. Sci., 46, 1183-1193 (2008) · Zbl 1213.76069 |
| [25] |
Meylan, M. H., Spectral solution of time-dependent shallow water hydroelasticity, J. Fluid Mech., 454, 387-402 (2002) · Zbl 1044.74012 |
| [26] |
Mohanty, S. K.; Mondal, R.; Sahoo, T., Time dependent flexural gravity waves in the presence of current, J. Fluilds Struct., 45, 28-49 (2014) |
| [27] |
Stepanyants, Y. A.; Sturova, I. V., Waves on a compressed floating ice plate caused by motion of a dipole in water, J. Fluid Mech., 907, A7, 1-29 (2021) · Zbl 1492.76027 |
| [28] |
Mohanty, S. K.; Sidharth, M., Time dependent wave motion in a permeable bed, Meccanica, 55, 1481-1497 (2020) · Zbl 1537.76020 |
| [29] |
Das, S.; Kar, P.; Sahoo, T.; Meylan, M. H., Flexural-gravity wave motion in the presence of shear current: Wave blocking and negative energy waves, Phys. Fluids, 30, 10, Article 106606 pp. (2018) |
| [30] |
Mohanty, S. K., Time-dependent wave motion with undulated bottom, Acta Mech., 232, 283-303 (2021) · Zbl 1458.76018 |
| [31] |
Barman, S. C.; Boral, S.; Sahoo, T.; Meylan, M. H., Bragg scattering of long flexural gravity waves by an array of submerged trenches and the analysis of blocking dynamics, AIP Adv., 11, Article 115308 pp. (2021) |
| [32] |
Negi, P.; Boral, S.; Sahoo, T., Scattering of long flexural gravity wave due to structural heterogeneity in the framework of wave blocking, Wave Motion, 112, Article 102949 pp. (2022) · Zbl 1524.76090 |
| [33] |
Das, S., Flexural-gravity wave dissipation under strong compression and ocean current near blocking point, Waves Random Complex Media, 1-25 (2022) |
| [34] |
Chung, H.; Fox, C., Calculation of wave-ice interaction using the Wiener-Hopf technique, New Zealand J. Math., 31, 1, 1-18 (2002) · Zbl 1043.35128 |
| [35] |
Bardell, N. S., Visualising the roots of quadratic equations with complex coefficients, Aust. Senior Math. J., 28, 1, 7-28 (2014) |
| [36] |
Mohapatra, S., Scattering of surface waves by the edge of a small undulation on a porous bed in an ocean with ice-cover, J. Mar. Sci. Appl., 13, 167-172 (2014) |
| [37] |
Davies, A. G.; Heathershaw, A. D., Surface-wave propagation over sinusoidally varying topography, J. Fluid Mech., 144, 419-443 (1984) |
| [38] |
Behera, H.; Sahoo, T., Hydroelastic analysis of gravity wave interaction with submerged horizontal flexible porous plate, J. Fluilds Struct., 54, 643-660 (2015) |
