Wave scattering by multiple rows of circular ice floes

Journal of Fluid Mechanics

Volumn 639, Issue , 2009, Pages 213-238

  Bennetts, L G ^a   Squire, V A ^a  

^a UNIVERSITY OF OTAGO   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

TRANSFER MATRIX METHOD; WATER WAVES;

MARGINAL ICE ZONE; NUMERICAL RESULTS; SCATTERING PROPERTY; THREE-DIMENSIONAL MODEL; TRANSFER MATRIXES; TWO DIMENSIONAL MODEL; TWO-DIMENSIONAL EQUATIONS; VARIATIONAL PRINCIPLES;

SEA ICE;

AMPLITUDE; CONSTITUTIVE EQUATION; LINEARITY; MATHEMATICAL THEORY; MATRIX; NUMERICAL MODEL; PERIODICITY; RESONANCE; SEA ICE; THREE-DIMENSIONAL MODELING; WAVE DIFFRACTION; WAVE PROPAGATION; WAVE SCATTERING;

EID: 76349088496     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009991017     Document Type: Article

References (23)

1. Bennetts, L. G., Biggs, N. R. T. & Porter, D. 2007 A multi-mode approximation to wave scattering by ice sheets of varying thickness. J. Fluid Mech. 579, 413-443.
2. Bennetts, L. G., Biggs, N. R. T. & Porter, D. 2009a The interaction of flexural-gravity waves with periodic geometries. Wav e Mot. 46, 57-73.
3. Bennetts, L. G., Biggs, N. R. T. & Porter, D. 2009b Wave scattering by an axisymmetric ice floe of varying thickness. IMA J. Appl. Math. 74, 273-295.
4. Bennetts, L. G. & Squire, V. A. 2009 Linear wave forcing of an array of axisymmetric ice floes. IMA J. Appl. Math. In press.
5. Cavalieri, D. J., Parkinson, C. L. & Vinnikov, K. Y. 2003 30-year satellite record reveals contrasting Arctic and Antarctic decadal sea ice variability. Geophy. Res. Lett. 30 (18). DOI: 10.1029/2003GL018031.
6. Chamberlain, P. G. & Porter, D. 1995 Decomposition methods for wave scattering by topography with application to ripple beds. Wa ve Mo t. 22, 201-214.
7. Chou, T. 1998 Band structure of surface flexural-gravity waves along periodic interfaces. J. Fluid Mech. 369, 333-350.
8. Dixon, T. W. & Squire, V. A. 2001 Energy transport in the marginal ice zone. J. Geophys. Res. 106, 19917-19927.
9. Kohout, A. L. & Meylan, M. H. 2008 An elastic plate model for wave attenuation and ice floe breaking in the marginal ice zone. J. Geophys. Res. 113, C09016. DOI: 10.1029/2007JC004434.
10. Kohout, A. L., Meylan, M. H., Sakai, S., Hanai, K., Leman, P. & Brossard, D. 2007 Linear water wave propagation through multiple floating elastic plates of variable properties. J. Fluids. Struct. 23 (4), 649-663.
11. Linton, C. 1998 The Green's function for the two-dimensional Helmholtz equation in periodic domains. J. Engng Math. 33, 377-402.
12. Linton, C. M. & Thompson, I. 2007 Resonant effects in scattering by periodic arrays. Wav e Mot. 44 (3), 165-175.
13. McPhedran, R. C., Botten, L. C., Asatryan, A. A., Nicorovici, N., Robinson, P. & Sterke, C. M. D. 1999 Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders. Phys. Rev. E 60 (6), 7614-7617.
14. Meylan, M. H. & Masson, D. 2006 A linear Boltzmann equation to model wave scattering in the marginal ice zone. Ocean Model. 11, 417-427.
15. Peter, M. A. & Meylan, M. H. 2004 Infinite depth interaction theory for arbitrary floating bodies applied to wave forcing of ice floes. J. Fluid Mech. 500, 145-167.
16. Peter, M. A. & Meylan, M. H. 2007 Water-wave scattering by a semi-infinite periodic array of arbitrary bodies. J. Fluid Mech. 575, 473-494.
17. Porter, R. & Porter, D. 2001 Interaction of water waves with three-dimensional periodic topography. J. Fluid Mech. 434, 301-335.
18. Rothrock, D. A., Yu, Y. & Maykut, G. A. 1999 Thinning of the Arctic sea-ice cover. Geophys. Res. Lett. 26 (23), 3469-3472.
19. Serreze, M. C., Holland, M. M. & Stroeve, J. 2007 Perspectives on the Arctic's shrinking sea-ice cover. Science 315 (5818), 1533-1536. DOI: 10.1126/science.1139426. (Pubitemid 46449461)
20. Squire, V. A. 2007 Of ocean waves and sea-ice revisited. Cold Reg. Sci. Technol. 49, 110-133.
21. Squire, V. A., Dugan, J. P., Wadhams, P., Rottier, P. J. & Liu, A. K. 1995 Of ocean waves and sea ice. Annu. Rev. Fluid Mech. 27, 115-168.
22. Wadhams, P., Squire, V. A., Ewing, J. A. & Pascal, R. W. 1986 The effect of the marginal ice zone on the directional wave spectrum of the ocean. J. Phys. Oceanogr. 16 (2), 358-376.
23. Wadhams, P., Squire, V. A., Goodman, D. J., Cowan, A. M. & Moore, S. C. 1987 The attenuation of ocean waves in the marginal ice zone. J. Geophys. Res. 93 (C6), 6799-6818.