Water-wave scattering by a semi-infinite periodic array of arbitrary bodies

Journal of Fluid Mechanics

Volumn 575, Issue , 2007, Pages 473-494

  Peter, Malte A ^a   MelyanN, Michael H ^b  

^a UNIVERSITY OF BREMEN   (Germany)

^b UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DOCKS; HELMHOLTZ EQUATION; OCEAN STRUCTURES;

FLOATING ELASTIC PLATES; POINT SCATTERERS;

WATER WAVES;

CONVERGENCE OF NUMERICAL METHODS; DOCKS; HELMHOLTZ EQUATION; OCEAN STRUCTURES; WATER WAVES;

GEOMETRY; HELMHOLTZ EQUATION; NUMERICAL METHOD; PERIODICITY; RAYLEIGH WAVE; WATER WAVE; WAVE SCATTERING;

EID: 33947113905     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006004319     Document Type: Article

References (18)

1. Abramowitz, M. & Stegun, I. A., (Eds.) 1970 Handbook of Mathematical Functions. Dover.
2. Hills, N. L. & Karp, S. N. 1965 Semi-infinite diffraction gratings I. Comm. Pure Appl. Maths 18, 203-233.
3. von Ignatowsky, W. 1914 Zur Theorie der Gitter. Ann. Phys. 44, 369-436.
4. Kagemoto, H. & Yue, D. K. P. 1986 Interactions among multiple three-dimensional bodies in water waves: An exact algebraic method. J. Fluid Mech. 166, 189-209.
5. Linton, C. M. 1998 The Green's function for the two-dimensional Helmholtz equation in periodic domains. J. Engng Maths 33, 377-402.
6. Linton, C. M. 2006 Schlömilch series that arise in diffraction theory and their efficient computation. J. Phys. A: Math. Gen. 39, 3325-3339.
7. Linton, C. M. & Evans, D. V. 1993 The interaction of waves with a row of circular cylinders. J. Fluid Mech. 251, 687-708.
8. Linton, C. M. & Martin, P. A. 2004 Semi-infinite arrays of isotropic point scatterers. A unified approach. SIAM J. Appl. Maths 64 (3), 1035-1056.
9. Linton, C. M. & McIver, M. 2002 The existence of Rayleigh-Bloch surface waves. J. Fluid Mech. 470, 85-90.
10. McIver, P. 2002 Wave interaction with arrays of structures. Appl. Ocean Res. 24, 121-126.
11. Meylan, M. H. 2002 Wave response of ice floes of arbitrary geometry. J. Geophys. Res. - Oceans 107 (C1), doi: 10.1029/2000JC000713.
12. 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.
13. Peter, M. A., Meylan, M. H. & Chung, H. 2004 Wave scattering by a circular elastic plate in water of finite depth: A closed form solution. Intl J. Offshore Polar Engng 14 (2), 81-85.
14. Peter, M. A., Meylan, M. H. & Linton, C. M. 2006 Water-wave scattering by a periodic array of arbitrary bodies. J. Fluid Mech. 548, 237-256.
15. Porter, R. & Evans, D. V. 1999 Rayleigh-Bloch surface waves along periodic gratings and their connection with trapped modes in waveguides. J. Fluid Mech. 386, 233-258.
16. Porter, R. & Evans, D. V. 2005 Embedded Rayleigh-Bloch surface waves along periodic rectangular arrays. Wave Motion 43, 29-50.
17. Thompson, I. & Linton, C. M. 2006 Resonant effects in scattering by periodic arrays. In Proc. 21st Intl Workshop on Water Waves and Floating Bodies, pp. 173-176.
18. Twersky, V. 1962 On scattering of waves by the infinite grating of circular cylinders. IRE Trans. Antennas and Propagation 10, 737-765.