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Volumn 459, Issue 2033, 2003, Pages 1075-1104

Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: Derivation and analysis

Author keywords

Boussinesq formulations; Fully nonlinear water waves; Pad approximants; Wave wave interaction

Indexed keywords

WATER;

EID: 0141848956     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2002.1067     Document Type: Article
Times cited : (222)

References (20)
  • 1
    • 0000471504 scopus 로고    scopus 로고
    • Periodic solutions for a complex Hamiltonian system: New standing water-waves
    • Agnon, Y. & Glozman, M. 1996 Periodic solutions for a complex Hamiltonian system: new standing water-waves. Wave Motion 24, 139-150.
    • (1996) Wave Motion , vol.24 , pp. 139-150
    • Agnon, Y.1    Glozman, M.2
  • 2
    • 0000299793 scopus 로고    scopus 로고
    • A new approach to high order Boussinesq models
    • Agnon, Y., Madsen, P. A. & Schäffer, H. A. 1999 A new approach to high order Boussinesq models. J. Fluid Mech. 399, 319-333.
    • (1999) J. Fluid Mech. , vol.399 , pp. 319-333
    • Agnon, Y.1    Madsen, P.A.2    Schäffer, H.A.3
  • 3
    • 0029291695 scopus 로고
    • Modified Boussinesq equations and associated parabolic models for water wave propagation
    • Chen, Y. & Liu, P. L.-F. 1995 Modified Boussinesq equations and associated parabolic models for water wave propagation. J. Fluid Mech. 288, 351-381.
    • (1995) J. Fluid Mech. , vol.288 , pp. 351-381
    • Chen, Y.1    Liu, P.L.-F.2
  • 5
    • 0023148497 scopus 로고
    • A high-order spectral method for the study of nonlinear gravity waves
    • Dommermuth, D. G. & Yue, D. K. P. 1987 A high-order spectral method for the study of nonlinear gravity waves. J. Fluid Mech. 184, 267-288.
    • (1987) J. Fluid Mech. , vol.184 , pp. 267-288
    • Dommermuth, D.G.1    Yue, D.K.P.2
  • 6
    • 0024165285 scopus 로고
    • The numerical solution of steady water wave problems
    • Fenton, J. D. 1988 The numerical solution of steady water wave problems. Comput. Geosci. 14, 357-368.
    • (1988) Comput. Geosci. , vol.14 , pp. 357-368
    • Fenton, J.D.1
  • 8
    • 3242825992 scopus 로고    scopus 로고
    • Higher order Boussinesq-type equations for surface gravity waves-derivation and analysis
    • Madsen, P. A. & Schäffer, H. A. 1998 Higher order Boussinesq-type equations for surface gravity waves-derivation and analysis. Phil. Trans. R. Soc. Lond. A 356, 3123-3181.
    • (1998) Phil. Trans. R. Soc. Lond. A , vol.356 , pp. 3123-3181
    • Madsen, P.A.1    Schäffer, H.A.2
  • 9
    • 0002037267 scopus 로고    scopus 로고
    • A review of Boussinesq-type equations for gravity waves
    • ed. P. Liu, World Scientific
    • Madsen, P. A. & Schäffer, H. A. 1999 A review of Boussinesq-type equations for gravity waves. In Advances in coastal and ocean engineering (ed. P. Liu), vol. 5, pp. 1-95. World Scientific.
    • (1999) Advances in Coastal and Ocean Engineering , vol.5 , pp. 1-95
    • Madsen, P.A.1    Schäffer, H.A.2
  • 10
    • 0027007549 scopus 로고
    • A new form of the Boussinesq equations with improved linear-dispersion characteristics. Part 2. A slowly-varying bathymetry
    • Madsen, P. A. & Sørensen, O. R. 1992 A new form of the Boussinesq equations with improved linear-dispersion characteristics. Part 2. A slowly-varying bathymetry. Coastal Engng 18, 183-204.
    • (1992) Coastal Engng , vol.18 , pp. 183-204
    • Madsen, P.A.1    Sørensen, O.R.2
  • 11
    • 0037055049 scopus 로고    scopus 로고
    • A new Boussinesq method for fully nonlinear waves from shallow to deep water
    • Madsen, P. A., Bingham, H. B. & Liu, H. 2002 A new Boussinesq method for fully nonlinear waves from shallow to deep water. J. Fluid Mech. 462, 1-30.
    • (2002) J. Fluid Mech. , vol.462 , pp. 1-30
    • Madsen, P.A.1    Bingham, H.B.2    Liu, H.3
  • 12
    • 0027789687 scopus 로고
    • Alternative form of Boussinesq equations for nearshore wave propagation
    • Nwogu, O. 1993 Alternative form of Boussinesq equations for nearshore wave propagation. J. Wtrwy Port Coastal Ocean Engng 119, 618-638.
    • (1993) J. Wtrwy Port Coastal Ocean Engng. , vol.119 , pp. 618-638
    • Nwogu, O.1
  • 13
    • 0344500693 scopus 로고    scopus 로고
    • Finite-amplitude analysis of some Boussinesq-type equations
    • Otta, A. & Schäffer, H. A. 1999 Finite-amplitude analysis of some Boussinesq-type equations. Coastal Engng 36, 323-341.
    • (1999) Coastal Engng. , vol.36 , pp. 323-341
    • Otta, A.1    Schäffer, H.A.2
  • 14
    • 0009792694 scopus 로고
    • Long period waves in natural wave trains
    • Institute of Hydrodynamics and Hydraulic Engineering (ISVA)
    • Ottesen Hansen, N.-E. 1978 Long period waves in natural wave trains. Institute of Hydrodynamics and Hydraulic Engineering (ISVA), Technical University of Denmark progress report no. 46, pp. 13-24.
    • (1978) Technical University of Denmark Progress Report No. 46 , pp. 13-24
    • Ottesen Hansen, N.-E.1
  • 15
    • 84958426983 scopus 로고
    • Long waves on a beach
    • Peregrine, D. H. 1967 Long waves on a beach. J. Fluid Mech. 27, 815-827.
    • (1967) J. Fluid Mech. , vol.27 , pp. 815-827
    • Peregrine, D.H.1
  • 16
    • 0001400224 scopus 로고
    • On waves
    • Rayleigh, Lord 1876 On waves. Phil. Mag. 5, 257-279.
    • (1876) Phil. Mag. , vol.5 , pp. 257-279
    • Rayleigh, L.1
  • 17
    • 0022470209 scopus 로고
    • Reproduction of higher harmonics in irregular waves
    • Sand, S. E. & Mansard, E. P. D. 1986 Reproduction of higher harmonics in irregular waves. Ocean Engng 13, 57-83.
    • (1986) Ocean Engng. , vol.13 , pp. 57-83
    • Sand, S.E.1    Mansard, E.P.D.2
  • 18
    • 0029657441 scopus 로고    scopus 로고
    • Second-order wavemaker theory for irregular waves
    • Schäffer, H. A. 1996 Second-order wavemaker theory for irregular waves. Ocean Engng 23, 47-88.
    • (1996) Ocean Engng. , vol.23 , pp. 47-88
    • Schäffer, H.A.1
  • 20
    • 0000053182 scopus 로고
    • A unified model for the evolution of nonlinear water waves
    • Witting, J. M. 1984 A unified model for the evolution of nonlinear water waves. J. Computat. Phys. 56, 203-239.
    • (1984) J. Computat. Phys. , vol.56 , pp. 203-239
    • Witting, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.