메뉴 건너뛰기




Volumn 31, Issue 7, 2007, Pages 1425-1443

Extreme wave phenomena in down-stream running modulated waves

Author keywords

Benjamin Feir instability; Extreme waves; Freak waves; Hydrodynamic laboratory; Maximal temporal amplitude; Phase singularity; Rogue waves; Soliton on finite background; Wave dislocation; Wave generation

Indexed keywords

NONLINEAR EQUATIONS; SOLITONS; SURFACE WAVES;

EID: 33846648507     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2006.04.015     Document Type: Article
Times cited : (31)

References (41)
  • 2
    • 77950469567 scopus 로고
    • Linear and nonlinear waves
    • Whitham. Linear and nonlinear waves. Interscience (1974)
    • (1974) Interscience
    • Whitham1
  • 3
    • 33846606382 scopus 로고    scopus 로고
    • J.H. Westhuis, E. van Groesen, R.H.M. Huijsmans, Long time evolution of unstable bichromatic waves, in: T. Miloh (Ed.), 15th International Workshop on Water Waves and Floating Bodies, Tel Aviv, ISBN 965-274-288-0, 2000, pp. 184-187.
  • 5
    • 0036605271 scopus 로고    scopus 로고
    • Modelling and simulation of surface water waves
    • van Groesen E., and Westhuis J.H. Modelling and simulation of surface water waves. Math. Comput. Simulat. 59 (2002) 341-360
    • (2002) Math. Comput. Simulat. , vol.59 , pp. 341-360
    • van Groesen, E.1    Westhuis, J.H.2
  • 6
    • 33846597581 scopus 로고    scopus 로고
    • J.H. Westhuis, The numerical simulation of nonlinear waves in a hydrodynamic model test basin, PhD thesis, University of Twente, The Netherlands, 2001.
  • 7
    • 33846639218 scopus 로고    scopus 로고
    • J.H. Westhuis and Andonowati, Applying the Finite Element Method in numerically solving the two dimensional free-surface water wave equations, in: A.J. Hermans (Ed.), Proceedings of the 13th International Workshop on Water Waves and Floating Bodies, Alphen a/d Rijn, The Netherlands, 1998, pp. 171-174.
  • 8
    • 0033692914 scopus 로고    scopus 로고
    • J.H. Westhuis, Approximate analytic solutions and numerical wave tank results for the reflection coefficients of a class of numerical beaches, in: Proceedings of the 10th ISOPE conference, Seattle, ISBN: 1-880653-49-4, 3, 2000, pp. 242-252.
  • 10
    • 0000491561 scopus 로고
    • Mechanics of ocean surface waves
    • Geernaert G.L., and Plants W.J. (Eds), Kluwer
    • Donelan M.A., and Hui W.H. Mechanics of ocean surface waves. In: Geernaert G.L., and Plants W.J. (Eds). Surface Waves and Fluxes vol. 1 (1990), Kluwer 209-246
    • (1990) Surface Waves and Fluxes , vol.1 , pp. 209-246
    • Donelan, M.A.1    Hui, W.H.2
  • 11
    • 33846619705 scopus 로고    scopus 로고
    • E. van Groesen, Andonowati, N. Karjanto, Deterministic aspects of nonlinear modulation instability, in: Proceedings Rougue Waves 2004, Brest France, Ifremer, 2005, ISBN 2-84433-150-5.
  • 12
    • 0000079009 scopus 로고
    • Statistical properties of wave groups in a random sea state
    • Longuet-Higgins M.S. Statistical properties of wave groups in a random sea state. Philos. Trans. Roy. Soc. London A312 (1984) 219-250
    • (1984) Philos. Trans. Roy. Soc. London , vol.A312 , pp. 219-250
    • Longuet-Higgins, M.S.1
  • 13
    • 0034706493 scopus 로고    scopus 로고
    • The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains
    • Osborne A.R., Onorato M., and Serio M. The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains. Phys. Lett. A 275 (2000) 386-393
    • (2000) Phys. Lett. A , vol.275 , pp. 386-393
    • Osborne, A.R.1    Onorato, M.2    Serio, M.3
  • 14
    • 0027837366 scopus 로고
    • Expected structure of extreme waves in a Gaussian sea. Part I. Theory and SWADE buoy measurements
    • Phillips O.M., Gu D., and Donelan M.A. Expected structure of extreme waves in a Gaussian sea. Part I. Theory and SWADE buoy measurements. J. Phys. Oceanogr. 23 (1993) 992-1000
    • (1993) J. Phys. Oceanogr. , vol.23 , pp. 992-1000
    • Phillips, O.M.1    Gu, D.2    Donelan, M.A.3
  • 15
    • 0000492467 scopus 로고
    • Note on a modification to the nonlinear Schroedinger equation for application to deep water waves
    • Dysthe K. Note on a modification to the nonlinear Schroedinger equation for application to deep water waves. Proc. R. Soc. London, Ser. A 369 (1979) 105
    • (1979) Proc. R. Soc. London, Ser. A , vol.369 , pp. 105
    • Dysthe, K.1
  • 16
    • 0000346839 scopus 로고    scopus 로고
    • Unsteady water wave modulation: fully nonlinear solutions and comparison with the nonlinear Schroedinger equation
    • Henderson K.L., Peregrine D.H., and Dold J.W. Unsteady water wave modulation: fully nonlinear solutions and comparison with the nonlinear Schroedinger equation. Wave Motion (1999) 341
    • (1999) Wave Motion , pp. 341
    • Henderson, K.L.1    Peregrine, D.H.2    Dold, J.W.3
  • 17
    • 84974336691 scopus 로고
    • The disintegration of wave trains on deep water. Part 1. Theory
    • Benjamin T.B., and Feir J.E. The disintegration of wave trains on deep water. Part 1. Theory. J. Fluid Mech. 27 (1967) 417
    • (1967) J. Fluid Mech. , vol.27 , pp. 417
    • Benjamin, T.B.1    Feir, J.E.2
  • 18
    • 0141643141 scopus 로고    scopus 로고
    • Optical pulse deformation in second order non-linear media
    • Andonowati, and van Groesen E. Optical pulse deformation in second order non-linear media. J. Nonlinear Opt. Phys. Mater. 12 (2003) 221-234
    • (2003) J. Nonlinear Opt. Phys. Mater. , vol.12 , pp. 221-234
    • Andonowati1    van Groesen, E.2
  • 19
    • 33846563496 scopus 로고    scopus 로고
    • Andonowati, W.M. Kusumawinahyu, E. van Groesen, Steepness of extreme waves caused by wave focussing in the Benjamin-Feir instability regime, in: Proceedings of International Symposium on Shallow Flows, Delft, June 16-18, 2003.
  • 20
    • 33846578289 scopus 로고    scopus 로고
    • Andonowati, W.M. Kusumawinahyu, E. van Groesen, A numerical study of the breaking of modulated waves generated at a wavemaker, Appl. Ocean Res., in press.
  • 22
    • 11744388723 scopus 로고
    • Exact first-order solutions of the nonlinear Schrödinger equation
    • Akhmediev N.N., Eleonskii V.M., and Kulagin N.E. Exact first-order solutions of the nonlinear Schrödinger equation. Theoret. Math. Phys. 72 (1987) 183-196
    • (1987) Theoret. Math. Phys. , vol.72 , pp. 183-196
    • Akhmediev, N.N.1    Eleonskii, V.M.2    Kulagin, N.E.3
  • 23
    • 0346967121 scopus 로고    scopus 로고
    • Note on breather type solutions of the NLS as models for freak-waves
    • Dysthe K., and Trulsen K. Note on breather type solutions of the NLS as models for freak-waves. Phys. Scripta T 82 (1999) 48-52
    • (1999) Phys. Scripta , vol.T 82 , pp. 48-52
    • Dysthe, K.1    Trulsen, K.2
  • 24
    • 33846621082 scopus 로고    scopus 로고
    • N. Karjanto, E. van Groesen, Relation among breather type solutions of the Non Linear Schrödinger equation, submitted for publication.
  • 25
    • 0003006528 scopus 로고
    • The perturbed plane-wave solutions of the cubic Schrödinger equation
    • Ma Y.-C. The perturbed plane-wave solutions of the cubic Schrödinger equation. Stud. Appl. Math. 60 (1979) 43-58
    • (1979) Stud. Appl. Math. , vol.60 , pp. 43-58
    • Ma, Y.-C.1
  • 26
    • 0001951716 scopus 로고
    • Water waves, nonlinear Schrödinger equations and their solutions
    • Peregrine D.H. Water waves, nonlinear Schrödinger equations and their solutions. J. Aust. Math. Soc. Ser. B 25 (1983) 16-43
    • (1983) J. Aust. Math. Soc. Ser. B , vol.25 , pp. 16-43
    • Peregrine, D.H.1
  • 27
    • 33646359416 scopus 로고    scopus 로고
    • Displaced Phase-Amplitude variables for Waves on Finite Background
    • van Groesen E., Andonowati, and Karjanto N. Displaced Phase-Amplitude variables for Waves on Finite Background. Phys. Lett. A 354 (2006) 312-319
    • (2006) Phys. Lett. A , vol.354 , pp. 312-319
    • van Groesen, E.1    Andonowati2    Karjanto, N.3
  • 28
    • 33846601851 scopus 로고    scopus 로고
    • R.C. Ertekin, J.W. Kim, The study of the spatial coherence of surface waves by the nonlinear Green-Naghdi model in deep water, Office of Naval Research, Coastal Dynamics - FY00 Annual Reports, http://www.onr.navy.mil/sci_tech/ocean/reports/cd_00.htm.
  • 29
    • 0036573762 scopus 로고    scopus 로고
    • New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface
    • Zakharov E., Dyachenko A.I., and Vasilyev O.A. New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface. Eur. J. Mech. B/Fluids 21 (2002) 283-291
    • (2002) Eur. J. Mech. B/Fluids , vol.21 , pp. 283-291
    • Zakharov, E.1    Dyachenko, A.I.2    Vasilyev, O.A.3
  • 30
    • 33646355534 scopus 로고    scopus 로고
    • Investigation of the maximum amplitude increase from the Benjamin-Feir instability
    • Karjanto N., van Groesen E., and Peterson P. Investigation of the maximum amplitude increase from the Benjamin-Feir instability. MIHMI (J. Indones. Math. Soc.) 8 (2002) 39-47
    • (2002) MIHMI (J. Indones. Math. Soc.) , vol.8 , pp. 39-47
    • Karjanto, N.1    van Groesen, E.2    Peterson, P.3
  • 31
    • 33846602763 scopus 로고    scopus 로고
    • R. Huijsmans, N. Karjanto, Andonowati, Klopman, E. van Groesen, Experiments on extreme wave generation using the soliton on finite background, in: Proceedings Rougue Waves 2004, Brest France, 2005 Ifremer, ISBN 2-84433-150-5.
  • 32
    • 0032128714 scopus 로고    scopus 로고
    • Wave groups in uni-directional surface wave models
    • van Groesen E. Wave groups in uni-directional surface wave models. J. Eng. Math. 34 (1998) 215-226
    • (1998) J. Eng. Math. , vol.34 , pp. 215-226
    • van Groesen, E.1
  • 33
    • 33846629040 scopus 로고
    • Disappearance of waves in modulated train of surface gravity waves
    • Proceedings of IUTAM/SIMM Symposium on Structure and Dynamics of Nonlinear Waves in Fluids. Mielke A., and Kirchgässner K. (Eds), World Scientific
    • Tanaka M. Disappearance of waves in modulated train of surface gravity waves. In: Mielke A., and Kirchgässner K. (Eds). Proceedings of IUTAM/SIMM Symposium on Structure and Dynamics of Nonlinear Waves in Fluids. Advanced Series in Nonlinear Dynamics vol. 7 (1995), World Scientific 392-398
    • (1995) Advanced Series in Nonlinear Dynamics , vol.7 , pp. 392-398
    • Tanaka, M.1
  • 34
    • 0002824640 scopus 로고
    • An efficient surface-integral algorithm applied to unsteady gravity waves
    • Dold J.W. An efficient surface-integral algorithm applied to unsteady gravity waves. J. Comput. Phys. 103 (1992) 90-115
    • (1992) J. Comput. Phys. , vol.103 , pp. 90-115
    • Dold, J.W.1
  • 35
    • 0000505087 scopus 로고    scopus 로고
    • Scattering of dislocated wave fronts by vertical vorticity and the Aharonov-Bohm effect. I. Shallow water
    • Coste C., Lund F., and Umeki M. Scattering of dislocated wave fronts by vertical vorticity and the Aharonov-Bohm effect. I. Shallow water. Phys. Rev. E 60 (1999) 4908-4916
    • (1999) Phys. Rev. E , vol.60 , pp. 4908-4916
    • Coste, C.1    Lund, F.2    Umeki, M.3
  • 36
    • 12944249523 scopus 로고    scopus 로고
    • Local observations of phase singularities in optical fields in waveguide structures
    • Balistreri M.L.M., Korterik J.P., Kuipers L., and van Hulst N.F. Local observations of phase singularities in optical fields in waveguide structures. Phys. Rev. Lett. 85 (2000) 294
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 294
    • Balistreri, M.L.M.1    Korterik, J.P.2    Kuipers, L.3    van Hulst, N.F.4
  • 37
    • 0029373974 scopus 로고
    • Optical wavefront dislocations and their properties
    • Basistiy I.V., Soskin M.S., and Vasnetsov M.V. Optical wavefront dislocations and their properties. Opt. Commun. 119 (1995) 604-612
    • (1995) Opt. Commun. , vol.119 , pp. 604-612
    • Basistiy, I.V.1    Soskin, M.S.2    Vasnetsov, M.V.3
  • 38
    • 0032785730 scopus 로고    scopus 로고
    • Critical point explosions in two-dimensional wave fields
    • Freund I. Critical point explosions in two-dimensional wave fields. Opt. Commun. 159 (1999) 99-117
    • (1999) Opt. Commun. , vol.159 , pp. 99-117
    • Freund, I.1
  • 39
    • 0037033249 scopus 로고    scopus 로고
    • Anomalous behavior of spectra near phase singularities of focused waves
    • Gbur G., Visser T.D., and Wolf E. Anomalous behavior of spectra near phase singularities of focused waves. Phys. Rev. Lett. 88 (2002) 013901
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 013901
    • Gbur, G.1    Visser, T.D.2    Wolf, E.3
  • 41
    • 0037030076 scopus 로고    scopus 로고
    • Spectral anomalies at wave-front dislocations
    • Popescu G., and Dogariu A. Spectral anomalies at wave-front dislocations. Phys. Rev. Lett. 88 (2002) 183902
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 183902
    • Popescu, G.1    Dogariu, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.