×

The effect of compressed ice-shelf on acoustic-gravity wave propagation in a compressible ocean having elastic bottom. (English) Zbl 1524.86006


MSC:

86A05 Hydrology, hydrography, oceanography
86A40 Glaciology
76N30 Waves in compressible fluids
35Q35 PDEs in connection with fluid mechanics
Full Text: DOI

References:

[1] Yamamoto, T., Gravity waves and acoustic waves generated by submarine earthquakes, Int. J. Soil Dyn. Earthq. Eng., 1, 2, 75-82 (1982)
[2] Stiassnie, M., Tsunamis and acoustic-gravity waves from underwater earthquakes, J. Eng. Math., 67, 1-2, 23-32 (2010) · Zbl 1273.76383
[3] Oliveira, T. C.A.; Kadri, U., Pressure field induced in the water column by acoustic-gravity waves generated from sea bottom motion, J. Geophys. Res.-Oceans, 121, 10, 7795-7803 (2016)
[4] Kadri, U.; Stiassnie, M., Generation of an acoustic-gravity wave by two gravity waves, and their subsequent mutual interaction, J. Fluid Mech., 735, R6 (2013) · Zbl 1294.76222
[5] Kadri, U.; Akylas, T., On resonant triad interactions of acoustic-gravity waves, J. Fluid Mech., 788, R1 (2016) · Zbl 1381.76042
[6] Kadri, U., Triad resonance between a surface-gravity wave and two high frequency hydro-acoustic waves, Eur. J. Mech. B Fluids, 55, 157-161 (2016) · Zbl 1408.76071
[7] Tian, M.; Kadri, U., Wavemaker theories for acoustic-gravity waves over a finite depth, J. Eng. Math., 108, 1, 25-35 (2018) · Zbl 1455.76026
[8] Miyoshi, H., Generation of the tsunami in compressible water (Part I), J. Oceanogr. Soc. Japan, 10, 1, 1-9 (1954)
[9] Sells, C. L., The effect of a sudden change of shape of the bottom of a slightly compressible ocean, Philos. Trans. R. Soc. Lond. Ser. A, 258, 1092, 495-528 (1965) · Zbl 0151.42402
[10] Nosov, M., Tsunami generation in compressible ocean, Phys. Chem. Earth B, 24, 5, 437-441 (1999)
[11] Nosov, M.; Skachko, S., Nonlinear tsunami generation mechanism, Nat. Hazard. Earth Syst., 1, 251-253 (2001)
[12] Nosov, M.; Kolesov, S., Elastic oscillations of water column in the 2003 tokachi-oki tsunami source: in-situ measurements and 3-D numerical modelling, Nat. Hazard. Earth Syst., 7, 2, 243-249 (2007)
[13] Kadri, U., Wave motion in a heavy compressible fluid: Revisited, Eur. J. Mech. B Fluids, 49, 50-57 (2015) · Zbl 1408.76468
[14] Rousseaux, G.; Maïssa, P.; Mathis, C.; Coullet, P.; Philbin, T. G.; Leonhardt, U., Horizon effects with surface waves on moving water, New J. Phys., 12, 9, Article 095018 pp. (2010)
[15] Das, S.; Sahoo, T.; Meylan, M., Dynamics of flexural gravity waves: from sea ice to hawking radiation and analogue gravity, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 474, 2209, Article 20170223 pp. (2018) · Zbl 1402.76024
[16] Longuet-Higgins, M. S., A theory of the origin of microseisms, Philos. Trans. R. Soc. Lond. Ser. A, 243, 857, 1-35 (1950) · Zbl 0041.14003
[17] Eyov, E.; Klar, A.; Kadri, U.; Stiassnie, M., Progressive waves in a compressible-ocean with an elastic bottom, Wave Motion, 50, 5, 929-939 (2013) · Zbl 1454.86002
[18] Abdolali, A.; Kirby, J. T.; Bellotti, G., Depth-integrated equation for hydro-acoustic waves with bottom damping, J. Fluid Mech., 766, R1 (2015)
[19] Kadri, U., Deep ocean water transport by acoustic-gravity waves, J. Geophys. Res.-Oceans, 119, 11, 7925-7930 (2014)
[20] Abdolali, A.; Kadri, U.; Parsons, W.; Kirby, J., On the propagation of acoustic-gravity waves under elastic ice sheets, J. Fluid Mech., 837, 640-656 (2018) · Zbl 1419.76074
[21] Kadri, U.; Stiassnie, M., Acoustic-gravity waves interacting with the shelf break, J. Geophys. Res.-Oceans, 117, C3, C03035 (2012)
[22] Massom, R. A.; Scambos, T. A.; Bennetts, L. G.; Reid, P.; Squire, V. A.; Stammerjohn, S. E., Antarctic ice shelf disintegration triggered by sea ice loss and ocean swell, Nature, 558, 7710, 383-389 (2018)
[23] Kohout, A. L.; Williams, M. J.; Dean, S.; Meylan, M. H., Storm-induced sea ice breakup and the implications for ice extent, Nature, 509, 7502, 604-607 (2014)
[24] Liu, A.; Mollo-Christensen, E., Wave propagation in a solid ice pack, J. Phys. Oceanogr., 18, 11, 1702-1712 (1988)
[25] Bukatov, A., Influence of a longitudinally compressed elastic plate on the nonstationary wave motion of a homogeneous liquid, Fluid Dyn., 15, 5, 687-693 (1980) · Zbl 0463.73047
[26] Davys, J.; Hosking, R.; Sneyd, A., Waves due to a steadily moving source on a floating ice plate, J. Fluid Mech., 158, 269-287 (1985) · Zbl 0577.76099
[27] Schulkes, R.; Hosking, R.; Sneyd, A., Waves due to a steadily moving source on a floating ice plate. Part 2, J. Fluid Mech., 180, 297-318 (1987) · Zbl 0624.76124
[28] Meylan, M.; Squire, V., The response of ice floes to ocean waves, J. Geophys. Res.-Oceans, 99, C1, 891-900 (1994)
[29] Squire, V.; Hosking, R.; Kerr, A.; Langhorne, P., Moving Loads on Ice Plates, Vol. 45 (2012), Springer Science & Business Media
[30] Collins, C.; Rogers, W.; Lund, B., An investigation into the dispersion of ocean surface waves in sea ice, Ocean Dyn., 67, 2, 263-280 (2017)
[31] Das, S.; Sahoo, T.; Meylan, M., Flexural-gravity wave dynamics in two-layer fluid: blocking and dead water analogue, J. Fluid Mech., 854, 121-145 (2018) · Zbl 1415.76049
[32] Das, S.; Kar, P.; Sahoo, T.; Meylan, M., Flexural-gravity wave motion in the presence of shear current: wave blocking and negative energy waves, Phys. Fluids, 30, 10, Article 106606 pp. (2018)
[33] Das, S.; Sahoo, T.; Meylan, M., An investigation of the properties of flexural-gravity wave propagation in a coupled submerged and floating plate system, Eur. J. Mech. B Fluids, 82, 123-134 (2020) · Zbl 1468.74018
[34] Squire, V., A fresh look at how ocean waves and sea ice interact, Phil. Trans. R. Soc. A, 376, 2129, Article 20170342 pp. (2018) · Zbl 1404.86040
[35] Squire, V., Ocean wave interactions with sea ice: a reappraisal, Annu. Rev. Fluid Mech., 52, 37-60 (2020) · Zbl 1439.76015
[36] Magrab, E. B., Vibrations of Elastic Structural Members, 400 (1979), Sijthoff and Noordhoff International: Sijthoff and Noordhoff International Alphen aan den Rijn, The Netherlands · Zbl 0417.73056
[37] Lawrie, J. B.; Abrahams, I. D., An orthogonality relation for a class of problems with high-order boundary conditions; applications in sound-structure interaction, Q. J. Mech. Appl. Math., 52, 2, 161-181 (1999) · Zbl 0934.74023
[38] Evans, D.; Porter, R., Wave scattering by narrow cracks in ice sheets floating on water of finite depth, J. Fluid Mech., 484, 143-165 (2003) · Zbl 1031.76009
[39] Manam, S.; Bhattacharjee, J.; Sahoo, T., Expansion formulae in wave structure interaction problems, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 462, 2065, 263-287 (2005) · Zbl 1149.76611
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.