Water wave scattering by a finite dock over a step-type bottom topography
Tài liệu tham khảo
Bartholomeusz, 1958, The reflection of long waves at a step, Proc. Camb. Philos. Soc., 54, 106, 10.1017/S0305004100033235
Bhattacharjee, 2010, Wave interaction with a floating rectangular box near a vertical wall with step type bottom topography, J. Hydrodyn., 22, 91, 10.1016/S1001-6058(09)60175-X
Chakrabarti, 2005, The Dock problem revisited, Int. J. Math. Math. Sci., 21, 3459, 10.1155/IJMMS.2005.3459
Davies, 1982, The reflection of wave energy by undulations in the seabed, Dyn. Atmos. Oceans, 7, 207, 10.1016/0377-0265(82)90029-X
Davies, 1984, Surface-wave propagation over sinusoidally varying topography, J. Fluid Mech., 144, 419, 10.1017/S0022112084001671
Dhillon, 2015, Effect of variable bottom topography on water wave incident on a finite dock, Proc. Math. Stat., 139, 411
Dhillon, 2013, Oblique wave scattering by a semi-infinite rigid dock in the presence of bottom undulations, Indian J. Pure Appl. Math., 44, 167, 10.1007/s13226-013-0009-8
Dorfmann, 1998, Diffraction of water waves by a horizontal plate, J. Appl. Math. Phys., 49, 805, 10.1007/s000330050122
Friedrichs, 1948, The Dock problem, Commun. Pure Appl. Math., 1, 135, 10.1002/cpa.3160010203
Garrett, 1971, Wave forces on a circular dock, J. Fluid Mech., 46, 129, 10.1017/S0022112071000430
Haskind, 1942, Plane oscillations problem for a plate on the free surface of heavy fluid, Izv. Akad. Nauk. S.S.S.R. Otd. Tech. Nauk., 7
Havelock, 1929, Forced surface waves on water, Philos. Mag., 8, 569, 10.1080/14786441008564913
Heins, 1948, Water waves over a channel of finite depth with a dock, Am. J. Math., 70, 730, 10.2307/2372209
Hermans, 2003, Interaction of free-surface waves with a floating dock, J. Eng. Math., 45, 39, 10.1023/A:1022042120610
Holford, 1964, Short surface waves in the presence of a finite dock I, Proc. Camb. Philos. Soc., 60, 957, 10.1017/S0305004100038433
Holford, 1964, Short surface waves in the presence of a finite dock II, Proc. Camb. Philos. Soc., 60, 985, 10.1017/S0305004100038445
Hwang, C., Tang, L.W., 1986. Studies on fixed rectangular surface barrier against short waves. In: Proceedings of 20th Conference on Coastal Engineering, Taipei, Taiwan, pp. 1915–1928.
Karmakar, 2008, Gravity wave interaction with floating membrane due to abrupt change in water depth, Ocean Eng., 35, 598, 10.1016/j.oceaneng.2008.01.009
Kirby, 1983, Propagation of obliquely incident water waves over a trench, J. Fluid Mech., 46, 47, 10.1017/S0022112083001780
Leppington, 1968, On the scattering of short surface waves by a finite dock, Proc. Camb. Philos. Soc., 64, 1109, 10.1017/S0305004100043875
Linton, 2001, The finite dock problem, J. Appl. Math. Phys., 52, 640, 10.1007/PL00001565
Mandal, 1990, A note on water-wave diffraction by a cylindrical deformation of the bottom in the presence of surface tension, Arch. Mech., 42, 723
Martha, 2007, Reflection and transmission coefficients for water wave scattering by a sea-bed with small undulation, Z. Angew. Math. Mech., 87, 314, 10.1002/zamm.200610317
Miles, 1981, Oblique surface-wave diffraction by a cylindrical obstacle, Dyn. Atmos. Oceans, 6, 121, 10.1016/0377-0265(81)90019-1
Newman, 1965, Propagation of water waves over an infinite step, J. Fluid Mech., 23, 399, 10.1017/S0022112065001453
Rhee, 1997, On the transmission of water waves over a shelf, Appl. Ocean Res., 19, 161, 10.1016/S0141-1187(97)00018-7
Rubin, 1954, The dock of finite extent, Commun. Pure Appl. Math., 7, 317, 10.1002/cpa.3160070205
Sabuncu, 1981, Hydrodynamic coefficients for vertical circular cylinders at finite depth, Ocean Eng., 8, 25, 10.1016/0029-8018(81)90004-4
Sparenberg, J.A., 1957. The finite dock. In: Proceedings of Symposium on the Behaviour of Ships in a Seaway, Wageningen.
Sretenskii, 1950, Refraction and reflection of plane waves in a fluid on transition from depth to another, Izv. Akad. Nauk. S.S.S.R., Otd. Tech. Nauk, 11, 1601
Takano, 1960, Effects d׳un obstacle parallélépipédique sur la propagation de la houle, Houille Blanche, 15, 247, 10.1051/lhb/1960037
Zheng, 2006, Wave radiation by a floating rectangular structure in oblique seas, Ocean Eng., 33, 59, 10.1016/j.oceaneng.2005.04.005