메뉴 건너뛰기




Volumn 55, Issue 4, 2008, Pages 288-294

Comparison of Dirichlet-Neumann operator expansions for nonlinear surface gravity waves

Author keywords

Dirichlet Neuman operator; Dispersion; Higher order spectral method; Nonlinearity; Perturbation expansion; Water waves

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; DISPERSION (WAVES); GRAVITY WAVES; PERTURBATION TECHNIQUES; WATER WAVES;

EID: 38749105080     PISSN: 03783839     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.coastaleng.2007.11.002     Document Type: Article
Times cited : (35)

References (22)
  • 1
    • 0035923844 scopus 로고    scopus 로고
    • [BST] On the efficient numerical simulation of directionally spread surface water waves
    • Bateman W.J.D., Swan C., and Taylor P.H. [BST] 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
  • 2
    • 12344327491 scopus 로고    scopus 로고
    • A Fourier-Boussinesq method for nonlinear water waves
    • Bingham H.B., and Agnon Y. A Fourier-Boussinesq method for nonlinear water waves. Eur. J. Mech. B, Fluids 24 (2005) 255-274
    • (2005) Eur. J. Mech. B, Fluids , vol.24 , pp. 255-274
    • Bingham, H.B.1    Agnon, Y.2
  • 3
    • 0002686768 scopus 로고
    • [CS] Numerical simulation of gravity waves
    • Craig W., and Sulem C. [CS] 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
  • 5
    • 33751351139 scopus 로고    scopus 로고
    • Implementation and validation of nonlinear wavemaker models in a HOS numerical wave tank
    • Ducrozet G., Bonnefoy F., Le Touzé D., and Ferrant P. Implementation and validation of nonlinear wavemaker models in a HOS numerical wave tank. Int. J. Offshore Polar Eng. 12 2 (2006) 1-7
    • (2006) Int. J. Offshore Polar Eng. , vol.12 , Issue.2 , pp. 1-7
    • Ducrozet, G.1    Bonnefoy, F.2    Le Touzé, D.3    Ferrant, P.4
  • 6
    • 0023148497 scopus 로고
    • [DY] A high-order spectral method for the study of nonlinear gravity waves
    • Dommermuth D.G., and Yue D.K.P. [DY] 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
  • 7
    • 33645317936 scopus 로고    scopus 로고
    • Formation of walls of water in fully nonlinear simulations
    • Gibbs R.H., and Taylor P.H. Formation of walls of water in fully nonlinear simulations. Appl. Ocean Res. 27 (2005) 142-157
    • (2005) Appl. Ocean Res. , vol.27 , pp. 142-157
    • Gibbs, R.H.1    Taylor, P.H.2
  • 8
    • 38749148872 scopus 로고    scopus 로고
    • Le Touzé, D. 2003. Méthods spectrales pour la modélisation nonlinéaire d'écoulements á surface libre instationnaires. PhD thesis, Ecole Centrale de Nantes, Nantes, France.
    • Le Touzé, D. 2003. Méthods spectrales pour la modélisation nonlinéaire d'écoulements á surface libre instationnaires. PhD thesis, Ecole Centrale de Nantes, Nantes, France.
  • 9
    • 0032501785 scopus 로고    scopus 로고
    • On generalized Bragg scattering of surface waves by bottom ripples
    • Liu Y., and Yue D.K.P. On generalized Bragg scattering of surface waves by bottom ripples. J. Fluid Mech. 356 (1998) 297-326
    • (1998) J. Fluid Mech. , vol.356 , pp. 297-326
    • Liu, Y.1    Yue, D.K.P.2
  • 10
    • 0037023585 scopus 로고    scopus 로고
    • Effects of high-order nonlinear interactions on unidirectional wave trains
    • Mori N., and Yasuda T. Effects of high-order nonlinear interactions on unidirectional wave trains. Ocean Eng. 29 (2002) 1233-1245
    • (2002) Ocean Eng. , vol.29 , pp. 1233-1245
    • Mori, N.1    Yasuda, T.2
  • 11
    • 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
  • 12
    • 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. Royal Soc. Edin. A 131 6 (2001) 1411-1433
    • (2001) Proc. Royal Soc. Edin. A , vol.131 , Issue.6 , pp. 1411-1433
    • Nicholls, D.P.1    Reitich, F.2
  • 13
    • 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 1 (2001) 276-298
    • (2001) J. Comput. Phys. , vol.170 , Issue.1 , pp. 276-298
    • Nicholls, D.P.1    Reitich, F.2
  • 14
    • 0142023256 scopus 로고    scopus 로고
    • Analytic continuation of Dirichlet-Neumann operators
    • Nicholls D.P., and Reitich F. Analytic continuation of Dirichlet-Neumann operators. Numer. Math. 94 (2003) 107-146
    • (2003) Numer. Math. , vol.94 , pp. 107-146
    • Nicholls, D.P.1    Reitich, F.2
  • 15
    • 0343178340 scopus 로고
    • Numerical methods for nonlinear interactions between water waves
    • Ölmez H.S., and Milgram J.H. Numerical methods for nonlinear interactions between water waves. J. Comput. Phys. 118 (1995) 62-72
    • (1995) J. Comput. Phys. , vol.118 , pp. 62-72
    • Ölmez, H.S.1    Milgram, J.H.2
  • 16
    • 38749099920 scopus 로고    scopus 로고
    • Qureshi, R., 2005. A numerical investigation of spectral methods and Dirichlet-Neumann Operators. MSc Thesis, Dept. Mech. Engng, Tech. Univ. Denmark.
    • Qureshi, R., 2005. A numerical investigation of spectral methods and Dirichlet-Neumann Operators. MSc Thesis, Dept. Mech. Engng, Tech. Univ. Denmark.
  • 19
    • 0035840904 scopus 로고    scopus 로고
    • Verification of Hasselmann's energy transfer among surface gravity waves by direct numerical simulations of primitive equations
    • Tanaka M. Verification of Hasselmann's energy transfer among surface gravity waves by direct numerical simulations of primitive equations. J. Fluid Mech. 444 (2001) 199-221
    • (2001) J. Fluid Mech. , vol.444 , pp. 199-221
    • Tanaka, M.1
  • 20
    • 38749106297 scopus 로고    scopus 로고
    • Vijfvinkel, E.M., 1996. Focused Wave Groups on Deep and Shallow Water, M.Sc. Thesis. University of Groningen, The Netherlands.
    • Vijfvinkel, E.M., 1996. Focused Wave Groups on Deep and Shallow Water, M.Sc. Thesis. University of Groningen, The Netherlands.
  • 21
    • 0345816341 scopus 로고
    • A transport-equation description of nonlinear ocean surface wave interactions
    • Watson K.M., and West B.J. A transport-equation description of nonlinear ocean surface wave interactions. J. Fluid Mech. 70 (1975) 815-826
    • (1975) J. Fluid Mech. , vol.70 , pp. 815-826
    • Watson, K.M.1    West, B.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.