The interaction of flexural-gravity waves with periodic geometries

Wave Motion

Volumn 46, Issue 1, 2009, Pages 57-73

  Bennetts, L G ^a   Biggs, N R T ^a   Porter, D ^a  

^a UNIVERSITY OF READING   (United Kingdom)

Author keywords

Sea ice; Wave scattering

Indexed keywords

BOUNDARY VALUE PROBLEMS; GEOMETRY; GRAVITY WAVES; PLATES (STRUCTURAL COMPONENTS); RESONANCE; SEA ICE; TRANSFER MATRIX METHOD;

COMPUTATIONAL SAVINGS; FLEXURAL-GRAVITY WAVES; GEOMETRICAL VARIATIONS; NUMERICAL RESULTS; SCATTERING PROCESS; THIN ELASTIC PLATES; TWO-DIMENSIONAL SYSTEMS; WAVE SCATTERING;

PERIODIC STRUCTURES;

GEOMETRY; GRAVITY WAVE; HARMONIC ANALYSIS; MATRIX; NUMERICAL MODEL; PERIODICITY; SEA ICE; WAVE SCATTERING;

EID: 56749098122     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.wavemoti.2008.08.002     Document Type: Article

References (17)

1. L.G. Bennetts, Wave scattering by ice sheets of variable thickness. PhD thesis, University of Reading, UK, 2007.
2. Bennetts L.G., Biggs N.R.T., and Porter D. A multi-mode approximation to wave scattering by ice sheets of varying thickness. J. Fluid Mech. 579 (2007) 413-443
3. Chamberlain P.G., and Porter D. Decomposition methods for wave scattering by topography with application to ripple beds. Wave Motion 22 (1995) 201-214
4. Collins I.F., and McCrae I.R. Creep buckling of ice shelves and the formation of pressure rollers. J. Glaciol. 31 (1985) 242-252
5. Davies A.G., and Heathershaw A.D. Surface-wave propagation over sinusoidally varying topography. J. Fluid Mech. 245 (1984) 301-317
6. Evans D., and Porter R. Scattering of flexural waves by multiple narrow cracks in ice sheets floating on water. Wave Motion 43 5 (2006) 425-443
7. Fox C. A scaling law for the flexural motion of floating ice. In: Dempsey J.P., and Shen H.H. (Eds). Proceedings of IUTAM Symposium on Scaling Lams in Ice Mechanics and Ice Dynamics (2001), Kluwer Academic, Dordrecht 135-148
8. Mei C.C., Hara T., and Naciri M. Note on Bragg scattering of water waves by parallel bars on the seabed. J. Fluid Mech. 186 (1988) 147-162
9. Peter M.A., Meylan M.H., and Linton C.M. Water-wave scattering by a periodic array of arbitrary bodies. J. Fluid Mech. 348 (2006) 237-256
10. Porter D., and Porter R. Interaction of water waves with three-dimensional periodic topography. J. Fluid Mech. 434 (2000) 301-335
11. Porter D., and Porter R. Scattered and free waves over periodic beds. J. Fluid Mech. 483 (2003) 129-163
12. Porter D., and Porter R. Approximations to wave scattering by an ice sheet of variable thickness over undulating topography. J. Fluid Mech. 509 (2004) 145-179
13. Squire V.A. Of ocean waves and sea-ice revisited. Cold Reg. Sci. Technol. 49 2 (2007) 110-133
14. Squire V.A., Dugan J.P., Wadhams P., Rottier P.J., and Liu A.K. Of ocean waves and ice sheets. Ann. Rev. Fluid Mech. 27 (1995) 115-168
15. Wang C., Meylan M.H., and Porter R. The linear wave response of a periodic array of floating elastic plates. J. Eng. Math. 57 1 (2007) 23-46
16. Watanabe E., Utsunomiya T., and Wang C.M. Hydroelastic analysis of pontoon-type VLFS: a literature survey. Eng. Struct. 26 2 (2004) 245-256
17. Williams T.D., and Squire V.A. Oblique scattering of plane waves by heterogeneities in sea-ice. Proc. Roy. Soc. (A) 460 (2004) 3469-3497