On physical and numerical resonances for water wave problems using the dual boundary element method

Engineering Analysis with Boundary Elements

Volumn 36, Issue 11, 2012, Pages 1571-1580

  Chen, I L ^a   Lee, J W ^b   Hsiao, Y C ^c   Chen, J T ^b  

^a NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

^b NATIONAL TAIWAN OCEAN UNIVERSITY   (Taiwan)

^c NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Dual boundary element method; Fictitious frequency; Near trapped mode; Scattering; Water wave

Indexed keywords

CHIEF METHODS; COMPLEX WAVES; CRITICAL WAVE NUMBERS; DUAL BOUNDARY ELEMENT METHOD; FICTITIOUS FREQUENCY; NEAR-TRAPPED MODE; NUMERICAL INSTABILITY; NUMERICAL OSCILLATION; NUMERICAL RESONANCES; PARAMETER STUDIES; PERIODICAL STRUCTURE; PHYSICAL PHENOMENA; RESULTANT FORCES; SCATTERING PROBLEMS; SQUARE CYLINDERS; TRAPPED MODES; VERTICAL CYLINDERS; WATER-WAVE PROBLEM; WAVE INTERACTIONS;

BOUNDARY ELEMENT METHOD; CIRCULAR CYLINDERS; SCATTERING;

WATER WAVES;

EID: 84861687514     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2012.04.005     Document Type: Article

References (37)

1. MacCamy RC, Fuchs RA. Wave force on piles: a diffraction theory. Washington, D.C: US Army, Coastal Engineering Research Center, Technical Memorandum; 1954.
2. BH Spring, and PL Monkmeyer Interaction of plane waves with vertical cylinders Proc 14th Int Conf Coastal Eng 1974 1828 1845
3. V Twersky Multiple scattering of radiation by an arbitrary configuration of parallel cylinders J Acoust Soc Am 24 1 1952 42 46
4. G Duclos, and AH Clèment Wave propagation through arrays of unevenly spaced vertical piles Ocean Eng 31 2004 1655 1668
5. MJ Simon Multiple scattering in arrays of axisymmetric wave-energy devices J Fluid Mech 120 1982 1 25
6. P McIver, and DV Evans Approximation of wave forces on cylinder arrays Appl Ocean Res 6 2 1984 101 107
7. CM Linton, and DV Evans The interaction of waves with arrays of vertical circular cylinders J Fluid Mech 215 1990 549 569
8. CM Linton, and DV Evans Corrigendum: the interaction of waves with arrays of vertical circular cylinders J Fluid Mech 218 1990 663
9. JT Chen, YT Lee, and YJ Lin Interaction of water waves with arbitrary vertical cylinders using null-field integral equations Appl Ocean Res 31 2009 101 110
10. J.T. Chen, and J.W. Lee Water wave problems using null-field boundary integral equations: Ill-posedness and remedies Appl Anal. 91 4 2012 675 702
11. L Liu, and MI Hussein Wave motion in periodic flexural beams and characterization of the transition between Bragg scattering and local resonance J Appl Mech 79 2012 1 17
12. DV Evans, and R Porter Near-trapping of waves by circular arrays of vertical cylinders Appl Ocean Res 19 1997 83 99
13. S Sphaier, and R Yeung Wave-interference effects on a truncated cylinder in a channel J Eng Math 23 1989 95 117
14. M Kashiwagi 3-D Calculation for multiple floating bodies in proximity using wave interaction theory Int J Offshore Polar Eng 18 1 2008 14 20
15. M Kashiwagi Wave-induced local steady force on a column-supported very large floating structure Int J Offshore Polar Eng 12 2 2002 98 104
16. H Kagemoto, M Murai, M Saito, B Molin, and S Malenica Experimental and theoretical analysis of the wave decay long a long array of vertical cylinders J Fluid Mech 456 2002 113 135
17. COG Ohl, R Eatock Taylor, PH Taylor, and AGL Borthwick Water wave diffraction by a cylinder array. Part 1. Regular waves J Fluid Mech 442 2001 1 32
18. MH Meylan, and R Eatock Taylor Time-dependent water-wave scattering by arrays of cylinders and the approximation of near trapping J Fluid Mech 631 2009 103 125
19. HD Maniar, and JN Newman Wave diffraction by a long array of cylinders J Fluid Mech 339 1997 309 330
20. I Thompson, CM Linton, and R Porter A new approximation method for scattering by long finite arrays Q J Mech Appl Math 25 2008 333 352
21. DV Evans, and R Porter Trapped modes about multiple cylinders in a channel J Fluid Mech 339 1997 331 356
22. Y Yao, M Tulin, and A Kolani Theoretical and experimental studies of three-dimensional wavemaking in narrow tanks, including nonlinear phenomena near resonance J Fluid Mech 276 1994 211 232
23. CM Linton, and P McIver Embedded trapped modes in water waves and acoustics Wave Motion 45 2007 16 29
24. JT Chen, CT Chen, KH Chen, and IL Chen On fictitious frequencies using dual bem for non-uniform radiation problems of a cylinder Mech Res Commun 27 6 2000 685 690
25. JT Chen, MT Liang, IL Chen, SW Chyuan, and KH Chen Dual boundary element analysis of wave scattering from singularity Wave Motion 30 4 1999 367 381
26. JT Chen, JH Lin, SR Kuo, and SW Chyuan Boundary element analysis for the Helmholtz eigenproblems with multiply-connected domain Proc R Soc London Ser A 457 2014 2001 2521 2546
27. JT Chen, SY Lin, IL Chen, and YT Lee Mathematical analysis and numerical study for free vibration of annular plates using BIEM and BEM Int J Numer Methods Eng 65 2006 236 263
28. E Dokumaci A study of the failure of numerical solutions in boundary element analysis of acoustic radiation problems J Sound Vib 139 1 1990 83 97
29. P Juhl A numerical study of the coefficient matrix of the boundary element method near characteristic J Sound Vib 175 1 1994 39 50
30. JT Chen, KH Chen, IL Chen, and LW Liu A new concept of modal participation factor for numerical instability in the dual BEM for exterior acoustics Mech Res Commun 26 2 2003 161 174
31. AJ Burton, and GF Miller The application of integral equation methods to numerical solution of some exterior boundary value problems Proc R Soc London Ser A 323 1971 201 210
32. HA Schenck Improved integral formulation for acoustic radiation problem J Acoust Soc Am 44 1968 41 58
33. IL Chen, JT Chen, and MT Liang Analytical study and numerical experiments for radiation and scattering problems using the CHIEF method J Sound Vib 248 5 2001 809 828
34. HA Schenck Helmholtz integral formulation of the sonar equations J Acoust Soc Am 79 5 1986 1423 1433
35. E Dokumaci, and AS Sarigul Analysis of the near field acoustic radiation characteristics of two radially vibrating spheres by the Helmholtz integral quation formulation and a critical study of the efficacy of the CHIEF over determination method in two-body problems J Sound Vib 187 5 1995 781 798
36. MC Au, and CA Brebbia Diffraction of water waves for vertical cylinders using boundary elements Appl Math Model l 7 1983 106 114
37. M Stojek, M Markiewicz, and O Mahrenholtz Diffraction loads on multiple vertical cylinders with rectangular cross section by Trefftz-type finite elements Comput Struct 75 2000 335 345