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Volumn 228, Issue 22, 2009, Pages 8446-8466

Numerical simulation of three-dimensional nonlinear water waves

Author keywords

Dirichlet Neumann operator; Nonlinear water waves; Spectral methods; Three dimensional domains

Indexed keywords

EQUATIONS OF MOTION; FOURIER SERIES; HAMILTONIANS; NUMERICAL METHODS; NUMERICAL MODELS; SURFACE WATERS; TAYLOR SERIES; WATER WAVES;

EID: 70349236836     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.08.015     Document Type: Article
Times cited : (74)

References (61)
  • 1
    • 42749099908 scopus 로고    scopus 로고
    • Nonlinear evolution of surface gravity waves over highly variable depth
    • Artiles W., and Nachbin A. Nonlinear evolution of surface gravity waves over highly variable depth. Phys. Rev. Lett. 93 (2004) 234501
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 234501
    • Artiles, W.1    Nachbin, A.2
  • 2
    • 0020191249 scopus 로고
    • Generalized vortex methods for free-surface flow problems
    • Baker G.R., Meiron D.I., and Orszag S.A. Generalized vortex methods for free-surface flow problems. J. Fluid Mech. 123 (1982) 477-501
    • (1982) J. Fluid Mech. , vol.123 , pp. 477-501
    • Baker, G.R.1    Meiron, D.I.2    Orszag, S.A.3
  • 3
    • 0035923844 scopus 로고    scopus 로고
    • On the efficient numerical simulation of directionally spread surface water waves
    • Bateman W.J.D., Swan C., and Taylor P.H. On the efficient numerical simulation of directionally spread surface water waves. J. Comput. Phys. 174 (2001) 277-305
    • (2001) J. Comput. Phys. , vol.174 , pp. 277-305
    • Bateman, W.J.D.1    Swan, C.2    Taylor, P.H.3
  • 4
    • 0040438763 scopus 로고    scopus 로고
    • A convergent boundary integral method for three-dimensional water waves
    • Beale J.T. A convergent boundary integral method for three-dimensional water waves. Math. Comput. 70 (2001) 977-1029
    • (2001) Math. Comput. , vol.70 , pp. 977-1029
    • Beale, J.T.1
  • 5
    • 2442660478 scopus 로고    scopus 로고
    • Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II. The nonlinear theory
    • Bona J.L., Chen M., and Saut J.-C. Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II. The nonlinear theory. Nonlinearity 17 (2004) 925-952
    • (2004) Nonlinearity , vol.17 , pp. 925-952
    • Bona, J.L.1    Chen, M.2    Saut, J.-C.3
  • 9
    • 33744923736 scopus 로고    scopus 로고
    • Periodic wave patterns of two-dimensional Boussinesq systems
    • Chen M., and Iooss G. Periodic wave patterns of two-dimensional Boussinesq systems. Eur. J. Mech. B/Fluids 25 (2006) 393-405
    • (2006) Eur. J. Mech. B/Fluids , vol.25 , pp. 393-405
    • Chen, M.1    Iooss, G.2
  • 10
    • 0035950844 scopus 로고    scopus 로고
    • A fast method for fully nonlinear water wave computations
    • Clamond D., and Grue J. A fast method for fully nonlinear water wave computations. J. Fluid Mech. 447 (2001) 337-355
    • (2001) J. Fluid Mech. , vol.447 , pp. 337-355
    • Clamond, D.1    Grue, J.2
  • 11
    • 0002592298 scopus 로고
    • Nonlinear harmonic analysis and analytic dependence
    • Coifman R., and Meyer Y. Nonlinear harmonic analysis and analytic dependence. Proc. Symp. Pure Math. 43 (1985) 71-78
    • (1985) Proc. Symp. Pure Math. , vol.43 , pp. 71-78
    • Coifman, R.1    Meyer, Y.2
  • 12
    • 0035873761 scopus 로고    scopus 로고
    • On the Badulin, Kharif and Shrira model of resonant water waves
    • Craig W. On the Badulin, Kharif and Shrira model of resonant water waves. Physica D 152-153 (2001) 434-450
    • (2001) Physica D , vol.152-153 , pp. 434-450
    • Craig, W.1
  • 14
    • 30544433668 scopus 로고    scopus 로고
    • Hamiltonian long wave expansions for free surfaces and interfaces
    • Craig W., Guyenne P., and Kalisch H. Hamiltonian long wave expansions for free surfaces and interfaces. Commun. Pure Appl. Math 58 (2005) 1587-1641
    • (2005) Commun. Pure Appl. Math , vol.58 , pp. 1587-1641
    • Craig, W.1    Guyenne, P.2    Kalisch, H.3
  • 16
    • 0034550889 scopus 로고    scopus 로고
    • Traveling two and three dimensional capillary gravity water waves
    • Craig W., and Nicholls D.P. Traveling two and three dimensional capillary gravity water waves. SIAM J. Math. Anal. 32 (2000) 323-359
    • (2000) SIAM J. Math. Anal. , vol.32 , pp. 323-359
    • Craig, W.1    Nicholls, D.P.2
  • 17
    • 2442514149 scopus 로고    scopus 로고
    • Traveling gravity water waves in two and three dimensions
    • Craig W., and Nicholls D.P. Traveling gravity water waves in two and three dimensions. Eur. J. Mech. B. Fluids 21 (2002) 615-641
    • (2002) Eur. J. Mech. B. Fluids , vol.21 , pp. 615-641
    • Craig, W.1    Nicholls, D.P.2
  • 18
    • 0001654990 scopus 로고    scopus 로고
    • The modulation regime of three-dimensional water waves and the Davey-Stewartson system
    • Craig W., Schanz U., and Sulem C. The modulation regime of three-dimensional water waves and the Davey-Stewartson system. Ann. Inst. Henri Poincaré Anal. Non Linéaire 14 (1997) 615-667
    • (1997) Ann. Inst. Henri Poincaré Anal. Non Linéaire , vol.14 , pp. 615-667
    • Craig, W.1    Schanz, U.2    Sulem, C.3
  • 19
    • 0002686768 scopus 로고
    • Numerical simulation of gravity waves
    • Craig W., and Sulem C. Numerical simulation of gravity waves. J. Comput. Phys. 108 (1993) 73-83
    • (1993) J. Comput. Phys. , vol.108 , pp. 73-83
    • Craig, W.1    Sulem, C.2
  • 20
    • 0023148497 scopus 로고
    • A high-order spectral method for the study of nonlinear gravity waves
    • Dommermuth D.G., and Yue D.K.P. A high-order spectral method for the study of nonlinear gravity waves. J. Fluid Mech. 184 (1987) 267-288
    • (1987) J. Fluid Mech. , vol.184 , pp. 267-288
    • Dommermuth, D.G.1    Yue, D.K.P.2
  • 21
    • 0024165285 scopus 로고
    • The numerical solution of steady water wave problems
    • Fenton J.D. The numerical solution of steady water wave problems. Comput. Geosci. 14 (1988) 357-368
    • (1988) Comput. Geosci. , vol.14 , pp. 357-368
    • Fenton, J.D.1
  • 23
    • 0003533835 scopus 로고    scopus 로고
    • The Fastest Fourier Transform in the West
    • Technical report MIT-LCS-TR-728, MIT, Cambridge, MA
    • M. Frigo, S.G. Johnson, The Fastest Fourier Transform in the West, Technical report MIT-LCS-TR-728, MIT, Cambridge, MA, 1997. .
    • (1997)
    • Frigo, M.1    Johnson, S.G.2
  • 24
    • 17144414943 scopus 로고    scopus 로고
    • An efficient model for three-dimensional surface wave simulations. Part I: Free space problems
    • Fructus D., Clamond D., Grue J., and Kristiansen Ø. An efficient model for three-dimensional surface wave simulations. Part I: Free space problems. J. Comput. Phys. 205 (2005) 665-685
    • (2005) J. Comput. Phys. , vol.205 , pp. 665-685
    • Fructus, D.1    Clamond, D.2    Grue, J.3    Kristiansen, Ø.4
  • 26
    • 33746331388 scopus 로고    scopus 로고
    • Short-crested waves in deep water: a numerical investigation of recent laboratory experiments
    • Fuhrman D.R., and Madsen P.A. Short-crested waves in deep water: a numerical investigation of recent laboratory experiments. J. Fluid Mech. 559 (2006) 391-411
    • (2006) J. Fluid Mech. , vol.559 , pp. 391-411
    • Fuhrman, D.R.1    Madsen, P.A.2
  • 28
    • 33846972810 scopus 로고    scopus 로고
    • The evolution of large ocean waves: the role of local and rapid spectral changes
    • Gibson R.S., and Swan C. The evolution of large ocean waves: the role of local and rapid spectral changes. Proc. Roy. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 463 (2007) 21-48
    • (2007) Proc. Roy. Soc. Lond. Ser. A Math. Phys. Eng. Sci. , vol.463 , pp. 21-48
    • Gibson, R.S.1    Swan, C.2
  • 30
    • 0035871738 scopus 로고    scopus 로고
    • A fully nonlinear model for three-dimensional overturning waves over an arbitrary bottom
    • Grilli S.T., Guyenne P., and Dias F. A fully nonlinear model for three-dimensional overturning waves over an arbitrary bottom. Int. J. Numer. Meth. Fluids 35 (2001) 829-867
    • (2001) Int. J. Numer. Meth. Fluids , vol.35 , pp. 829-867
    • Grilli, S.T.1    Guyenne, P.2    Dias, F.3
  • 31
    • 33644986219 scopus 로고    scopus 로고
    • Numerical study of three-dimensional overturning waves in shallow water
    • Guyenne P., and Grilli S.T. Numerical study of three-dimensional overturning waves in shallow water. J. Fluid Mech. 547 (2006) 361-388
    • (2006) J. Fluid Mech. , vol.547 , pp. 361-388
    • Guyenne, P.1    Grilli, S.T.2
  • 32
    • 47649107884 scopus 로고    scopus 로고
    • A high-order spectral method for nonlinear water waves over moving bottom topography
    • Guyenne P., and Nicholls D.P. A high-order spectral method for nonlinear water waves over moving bottom topography. SIAM J. Sci. Comput. 30 (2007) 81-101
    • (2007) SIAM J. Sci. Comput. , vol.30 , pp. 81-101
    • Guyenne, P.1    Nicholls, D.P.2
  • 33
    • 21344448402 scopus 로고    scopus 로고
    • Progressive waves with persistent two-dimensional surface patterns in deep water
    • Hammack J.L., Henderson D.M., and Segur H. Progressive waves with persistent two-dimensional surface patterns in deep water. J. Fluid Mech. 532 (2005) 1-52
    • (2005) J. Fluid Mech. , vol.532 , pp. 1-52
    • Hammack, J.L.1    Henderson, D.M.2    Segur, H.3
  • 34
    • 0024877769 scopus 로고
    • Two-dimensional periodic waves in shallow water
    • Hammack J., Scheffner N., and Segur H. Two-dimensional periodic waves in shallow water. J. Fluid Mech. 209 (1989) 567-589
    • (1989) J. Fluid Mech. , vol.209 , pp. 567-589
    • Hammack, J.1    Scheffner, N.2    Segur, H.3
  • 35
    • 34548407719 scopus 로고    scopus 로고
    • Computing nearly singular solutions using pseudo-spectral methods
    • Hou T.Y., and Li R. Computing nearly singular solutions using pseudo-spectral methods. J. Comput. Phys. 226 (2007) 379-397
    • (2007) J. Comput. Phys. , vol.226 , pp. 379-397
    • Hou, T.Y.1    Li, R.2
  • 36
    • 0013315837 scopus 로고    scopus 로고
    • Convergence of a boundary integral method for 3-D water waves
    • Hou T.Y., and Zhang P. Convergence of a boundary integral method for 3-D water waves. Discrete Contin. Dyn. Syst. Ser. B 2 (2002) 1-34
    • (2002) Discrete Contin. Dyn. Syst. Ser. B , vol.2 , pp. 1-34
    • Hou, T.Y.1    Zhang, P.2
  • 37
    • 0030249514 scopus 로고    scopus 로고
    • On the observability of finite-depth short-crested water waves
    • Ioualalen M., Roberts A.J., and Kharif C. On the observability of finite-depth short-crested water waves. J. Fluid Mech. 322 (1996) 1-19
    • (1996) J. Fluid Mech. , vol.322 , pp. 1-19
    • Ioualalen, M.1    Roberts, A.J.2    Kharif, C.3
  • 38
    • 0141749366 scopus 로고    scopus 로고
    • Nonlinear four-wave interactions and freak waves
    • Janssen P.A.E.M. Nonlinear four-wave interactions and freak waves. J. Phys. Oceanogr. 33 (2003) 863-884
    • (2003) J. Phys. Oceanogr. , vol.33 , pp. 863-884
    • Janssen, P.A.E.M.1
  • 39
    • 1542512316 scopus 로고    scopus 로고
    • On the nonlinear dynamics of wave groups produced by the focusing of surface-water waves
    • Johannessen T.B., and Swan C. On the nonlinear dynamics of wave groups produced by the focusing of surface-water waves. Proc. Roy. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 459 (2003) 1021-1052
    • (2003) Proc. Roy. Soc. Lond. Ser. A Math. Phys. Eng. Sci. , vol.459 , pp. 1021-1052
    • Johannessen, T.B.1    Swan, C.2
  • 40
    • 0040368229 scopus 로고    scopus 로고
    • Instabilities of steep short-crested surface waves in deep water
    • Kimmoun O., Ioualalen M., and Kharif C. Instabilities of steep short-crested surface waves in deep water. Phys. Fluids 11 (1999) 1679-1681
    • (1999) Phys. Fluids , vol.11 , pp. 1679-1681
    • Kimmoun, O.1    Ioualalen, M.2    Kharif, C.3
  • 42
    • 0037055049 scopus 로고    scopus 로고
    • A new Boussinesq method for fully nonlinear waves from shallow to deep water
    • Madsen P.A., Bingham H.B., and Liu H. A new Boussinesq method for fully nonlinear waves from shallow to deep water. J. Fluid Mech. 462 (2002) 1-30
    • (2002) J. Fluid Mech. , vol.462 , pp. 1-30
    • Madsen, P.A.1    Bingham, H.B.2    Liu, H.3
  • 43
    • 34249766017 scopus 로고
    • Symplectic integration of Hamiltonian wave equations
    • McLachlan R.I. Symplectic integration of Hamiltonian wave equations. Numer. Math. 66 (1994) 465-492
    • (1994) Numer. Math. , vol.66 , pp. 465-492
    • McLachlan, R.I.1
  • 45
    • 0037828233 scopus 로고    scopus 로고
    • A terrain-following Boussinesq system
    • Nachbin A. A terrain-following Boussinesq system. SIAM J. Appl. Math. 63 (2003) 905-922
    • (2003) SIAM J. Appl. Math. , vol.63 , pp. 905-922
    • Nachbin, A.1
  • 46
    • 0001442989 scopus 로고    scopus 로고
    • Traveling water waves: spectral continuation methods with parallel implementation
    • Nicholls D.P. Traveling water waves: spectral continuation methods with parallel implementation. J. Comput. Phys. 143 (1998) 224-240
    • (1998) J. Comput. Phys. , vol.143 , pp. 224-240
    • Nicholls, D.P.1
  • 47
    • 0034916586 scopus 로고    scopus 로고
    • On hexagonal gravity water waves
    • Nicholls D.P. On hexagonal gravity water waves. Math. Comput. Simul. 55 (2001) 567-575
    • (2001) Math. Comput. Simul. , vol.55 , pp. 567-575
    • Nicholls, D.P.1
  • 48
    • 23044528812 scopus 로고    scopus 로고
    • A new approach to analyticity of Dirichlet-Neumann operators
    • Nicholls D.P., and Reitich F. A new approach to analyticity of Dirichlet-Neumann operators. Proc. Roy. Soc. Edinburgh Sect. A 131 (2001) 1411-1433
    • (2001) Proc. Roy. Soc. Edinburgh Sect. A , vol.131 , pp. 1411-1433
    • Nicholls, D.P.1    Reitich, F.2
  • 49
    • 0000543204 scopus 로고    scopus 로고
    • Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators
    • Nicholls D.P., and Reitich F. Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators. J. Comput. Phys. 170 (2001) 276-298
    • (2001) J. Comput. Phys. , vol.170 , pp. 276-298
    • Nicholls, D.P.1    Reitich, F.2
  • 51
    • 33744940867 scopus 로고    scopus 로고
    • Stable, high-order computation of traveling water waves in three dimensions
    • Nicholls D.P., and Reitich F. Stable, high-order computation of traveling water waves in three dimensions. Eur. J. Mech. B/Fluids 25 (2006) 406-424
    • (2006) Eur. J. Mech. B/Fluids , vol.25 , pp. 406-424
    • Nicholls, D.P.1    Reitich, F.2
  • 52
    • 32644485275 scopus 로고    scopus 로고
    • Modulational instability in crossing sea states: a possible mechanism for the formation of freak waves
    • Onorato M., Osborne A.R., and Serio M. Modulational instability in crossing sea states: a possible mechanism for the formation of freak waves. Phys. Rev. Lett. 96 (2006) 014503
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 014503
    • Onorato, M.1    Osborne, A.R.2    Serio, M.3
  • 53
    • 85190628152 scopus 로고    scopus 로고
    • U. Schanz, On the evolution of gravity - capillary waves in three dimensions, Ph.D. thesis, University of Toronto, 1997.
    • U. Schanz, On the evolution of gravity - capillary waves in three dimensions, Ph.D. thesis, University of Toronto, 1997.
  • 54
    • 27844513416 scopus 로고    scopus 로고
    • Probability distributions of surface gravity waves during spectral changes
    • Socquet-Juglard H., Dysthe K.B., Trulsen K., and Krogstad H.E. Probability distributions of surface gravity waves during spectral changes. J. Fluid Mech. 542 (2005) 195-216
    • (2005) J. Fluid Mech. , vol.542 , pp. 195-216
    • Socquet-Juglard, H.1    Dysthe, K.B.2    Trulsen, K.3    Krogstad, H.E.4
  • 55
    • 0023108596 scopus 로고
    • Energy computations for evolution of class I and class II instabilities of Stokes waves
    • Stiassnie M., and Shemer L. Energy computations for evolution of class I and class II instabilities of Stokes waves. J. Fluid Mech. 174 (1987) 299-312
    • (1987) J. Fluid Mech. , vol.174 , pp. 299-312
    • Stiassnie, M.1    Shemer, L.2
  • 56
    • 0020205669 scopus 로고
    • Three-dimensional deep-water waves. Part I. Experimental measurement of skew and symmetric wave patterns
    • Su M.-Y. Three-dimensional deep-water waves. Part I. Experimental measurement of skew and symmetric wave patterns. J. Fluid Mech. 124 (1982) 73-108
    • (1982) J. Fluid Mech. , vol.124 , pp. 73-108
    • Su, M.-Y.1
  • 57
    • 0020207315 scopus 로고
    • Experiments on nonlinear instabilities and evolution of steep gravity-wave trains
    • Su M.-Y., Bergin M., Marler P., and Myrick R. Experiments on nonlinear instabilities and evolution of steep gravity-wave trains. J. Fluid Mech. 124 (1982) 45-72
    • (1982) J. Fluid Mech. , vol.124 , pp. 45-72
    • Su, M.-Y.1    Bergin, M.2    Marler, P.3    Myrick, R.4
  • 58
    • 0022520121 scopus 로고
    • The stability of solitary waves
    • Tanaka M. The stability of solitary waves. Phys. Fluids 29 (1986) 650-655
    • (1986) Phys. Fluids , vol.29 , pp. 650-655
    • Tanaka, M.1
  • 60
    • 0035838474 scopus 로고    scopus 로고
    • Computations of fully nonlinear three-dimensional wave-wave and wave-body interactions. I. Dynamics of steep three-dimensional waves
    • Xue M., Xü H., Liu Y., and Yue D.K.P. Computations of fully nonlinear three-dimensional wave-wave and wave-body interactions. I. Dynamics of steep three-dimensional waves. J. Fluid Mech. 438 (2001) 11-39
    • (2001) J. Fluid Mech. , vol.438 , pp. 11-39
    • Xue, M.1    Xü, H.2    Liu, Y.3    Yue, D.K.P.4
  • 61
    • 34250447917 scopus 로고
    • Stability of periodic waves of finite amplitude on the surface of a deep fluid
    • Zakharov V.E. Stability of periodic waves of finite amplitude on the surface of a deep fluid. J. Appl. Mech. Tech. Phys. 9 (1968) 190-194
    • (1968) J. Appl. Mech. Tech. Phys. , vol.9 , pp. 190-194
    • Zakharov, V.E.1


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