메뉴 건너뛰기




Volumn 73, Issue , 2013, Pages 13-27

Boussinesq-Green-Naghdi rotational water wave theory

Author keywords

Boussinesq equations; Computational methods; Water waves

Indexed keywords

BOUSSINESQ; BOUSSINESQ EQUATIONS; EXACT SOLUTION; GENERALIZED BASIS FUNCTION; LINEAR DISPERSION; NONLINEAR TERMS; NONLINEAR WATER WAVES; NUMERICAL TESTS; ORBITAL VELOCITIES; POLYNOMIAL BASIS FUNCTIONS; RAPID CONVERGENCE; SECOND ORDERS; SURF ZONES; TEST MODELS; VELOCITY PROFILES; VISCOUS STRESS; WATER WAVE THEORY; WAVE TRANSFORMATIONS; WEIGHTED RESIDUALS;

EID: 84868451339     PISSN: 03783839     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.coastaleng.2012.09.005     Document Type: Article
Times cited : (52)

References (42)
  • 2
    • 11244314081 scopus 로고    scopus 로고
    • Nonlinear shallow water theories for coastal waves
    • Barthelemy E. Nonlinear shallow water theories for coastal waves. Surveys in Geophysics 2004, 25:315-337.
    • (2004) Surveys in Geophysics , vol.25 , pp. 315-337
    • Barthelemy, E.1
  • 3
    • 0027333936 scopus 로고
    • Experimental investigations of wave propagation over a bar
    • Beji S., Battjes J.A. Experimental investigations of wave propagation over a bar. Coastal Engineering 1993, 19:151-162.
    • (1993) Coastal Engineering , vol.19 , pp. 151-162
    • Beji, S.1    Battjes, J.A.2
  • 4
    • 0028668259 scopus 로고
    • Numerical simulation of nonlinear wave propagation over a bar
    • Beji S., Battjes J.A. Numerical simulation of nonlinear wave propagation over a bar. Coastal Engineering 1994, 23:1-16.
    • (1994) Coastal Engineering , vol.23 , pp. 1-16
    • Beji, S.1    Battjes, J.A.2
  • 7
    • 79959525052 scopus 로고    scopus 로고
    • Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi Model
    • Chazel F., Lannes D., Marche F. Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi Model. Journal of Scientific Computing 2011, 48:105-116.
    • (2011) Journal of Scientific Computing , vol.48 , pp. 105-116
    • Chazel, F.1    Lannes, D.2    Marche, F.3
  • 9
    • 0029291695 scopus 로고
    • Modified Boussinesq equations and associated parabolic models for water wave propagation
    • Chen Y., Liu P.L.-F. Modified Boussinesq equations and associated parabolic models for water wave propagation. Journal of Fluid Mechanics 1995, 288:351-381.
    • (1995) Journal of Fluid Mechanics , vol.288 , pp. 351-381
    • Chen, Y.1    Liu, P.L.-F.2
  • 12
    • 0022525567 scopus 로고
    • Waves caused by a moving disturbance in a shallow channel of finite width
    • Ertekin R.C., Webster W.C., Wehausen J.V. Waves caused by a moving disturbance in a shallow channel of finite width. Journal of Fluid Mechanics 1986, 169:275-292.
    • (1986) Journal of Fluid Mechanics , vol.169 , pp. 275-292
    • Ertekin, R.C.1    Webster, W.C.2    Wehausen, J.V.3
  • 13
    • 0032879846 scopus 로고    scopus 로고
    • Wave evolution over submerged sills: tests of a high-order Boussinesq model
    • (and erratum, Coastal Eng. 40, 277)
    • Gobbi M.F., Kirby J.T. Wave evolution over submerged sills: tests of a high-order Boussinesq model. Coastal Engineering 1999, 37:57-96. (and erratum, Coastal Eng. 40, 277).
    • (1999) Coastal Engineering , vol.37 , pp. 57-96
    • Gobbi, M.F.1    Kirby, J.T.2
  • 15
    • 0016876595 scopus 로고
    • A derivation of equations for wave propagation in water of variable depth
    • Green A.E., Naghdi P.M. A derivation of equations for wave propagation in water of variable depth. Journal of Fluid Mechanics 1976, 78:237-246.
    • (1976) Journal of Fluid Mechanics , vol.78 , pp. 237-246
    • Green, A.E.1    Naghdi, P.M.2
  • 16
    • 0031278117 scopus 로고    scopus 로고
    • A fully nonlinear numerical method for wave propagation over topography
    • Kennedy A.B., Fenton J.D. A fully nonlinear numerical method for wave propagation over topography. Coastal Engineering 1997, 32:137-161.
    • (1997) Coastal Engineering , vol.32 , pp. 137-161
    • Kennedy, A.B.1    Fenton, J.D.2
  • 19
    • 0034817891 scopus 로고    scopus 로고
    • Boussinesq-type equations with improved nonlinear performance
    • Kennedy A.B., Kirby J.T., Chen Q., Dalrymple R.A. Boussinesq-type equations with improved nonlinear performance. Wave Motion 2001, 33:225-243.
    • (2001) Wave Motion , vol.33 , pp. 225-243
    • Kennedy, A.B.1    Kirby, J.T.2    Chen, Q.3    Dalrymple, R.A.4
  • 20
    • 0036152724 scopus 로고    scopus 로고
    • Simplified higher-order Boussinesq equations - 1 Linear simplifications
    • Kennedy A.B., Kirby J.T. Simplified higher-order Boussinesq equations - 1 Linear simplifications. Coastal Engineering 2002, 44:205-229.
    • (2002) Coastal Engineering , vol.44 , pp. 205-229
    • Kennedy, A.B.1    Kirby, J.T.2
  • 21
    • 0037564498 scopus 로고    scopus 로고
    • A strongly-nonlinear model for water waves in water of variable depth - the irrotational Green-Naghdi model
    • Kim J.W., Bai K.J., Ertekin R.C., Webster W.C. A strongly-nonlinear model for water waves in water of variable depth - the irrotational Green-Naghdi model. Journal Offshore Mechanics Arctic Engineering 2003, 125:25-32.
    • (2003) Journal Offshore Mechanics Arctic Engineering , vol.125 , pp. 25-32
    • Kim, J.W.1    Bai, K.J.2    Ertekin, R.C.3    Webster, W.C.4
  • 22
    • 59649093678 scopus 로고    scopus 로고
    • Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation
    • Lannes D., Bonneton P. Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation. Physics of Fluids 2009, 21:016601. 10.1063/1.3053183.
    • (2009) Physics of Fluids , vol.21 , pp. 016601
    • Lannes, D.1    Bonneton, P.2
  • 23
    • 0036647126 scopus 로고    scopus 로고
    • Modeling wave runup with depth-integrated equations
    • Lynett.P.J., Wu T.R., Liu P.L.-F. Modeling wave runup with depth-integrated equations. Coastal Engineering 2002, 46:89-107.
    • (2002) Coastal Engineering , vol.46 , pp. 89-107
    • Lynett, P.J.1    Wu, T.R.2    Liu, P.L.-F.3
  • 25
    • 0014911447 scopus 로고
    • Transformation of a solitary wave over an uneven bottom
    • Madsen O.S., Mei C.C. Transformation of a solitary wave over an uneven bottom. Journal of Fluid Mechanics 1969, 39:781-791.
    • (1969) Journal of Fluid Mechanics , vol.39 , pp. 781-791
    • Madsen, O.S.1    Mei, C.C.2
  • 26
    • 0037465217 scopus 로고    scopus 로고
    • Accuracy and convergence of velocity formulations for water waves in the framework of Boussinesq theory
    • Madsen P.A., Agnon Y. Accuracy and convergence of velocity formulations for water waves in the framework of Boussinesq theory. Journal of Fluid Mechanics 2003, 477:285-319.
    • (2003) Journal of Fluid Mechanics , vol.477 , pp. 285-319
    • Madsen, P.A.1    Agnon, Y.2
  • 27
    • 0026191546 scopus 로고
    • A new form of the Boussinesq equations with improved linear dispersion characteristics. Part 1
    • Madsen P.A., Murray R., Sørensen O.R. A new form of the Boussinesq equations with improved linear dispersion characteristics. Part 1. Coastal Engineering 1991, 15:371-388.
    • (1991) Coastal Engineering , vol.15 , pp. 371-388
    • Madsen, P.A.1    Murray, R.2    Sørensen, O.R.3
  • 28
    • 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. A new form of the Boussinesq equations with improved linear dispersion characteristics. Part 2. A slowly varying bathymetry. Coastal Engineering 1992, 18:183-204.
    • (1992) Coastal Engineering , vol.18 , pp. 183-204
    • Madsen, P.A.1    Sørensen, O.R.2
  • 29
    • 3242825992 scopus 로고    scopus 로고
    • Higher order Boussinesq-type equations for surface gravity waves - derivation and analysis
    • Madsen P.A., Schäffer H.A. Higher order Boussinesq-type equations for surface gravity waves - derivation and analysis. Philosophical Transactions of the Royal Society A 1998, 356:1-59.
    • (1998) Philosophical Transactions of the Royal Society A , vol.356 , pp. 1-59
    • Madsen, P.A.1    Schäffer, H.A.2
  • 30
    • 20944432608 scopus 로고    scopus 로고
    • The flow in the surf zone: a fully nonlinear Boussinesq-type of approach
    • Musumeci R.E., Svendsen I.A., Veeramony J. The flow in the surf zone: a fully nonlinear Boussinesq-type of approach. Coastal Engineering 2005, 52:565-598.
    • (2005) Coastal Engineering , vol.52 , pp. 565-598
    • Musumeci, R.E.1    Svendsen, I.A.2    Veeramony, J.3
  • 31
    • 0027789687 scopus 로고
    • Alternative form of Boussinesq equations for nearshore wave propagation, J
    • Nwogu O. Alternative form of Boussinesq equations for nearshore wave propagation, J. Journal of Waterway, Port, Coastal and Ocean Engineering 1993, 119:618-638.
    • (1993) Journal of Waterway, Port, Coastal and Ocean Engineering , vol.119 , pp. 618-638
    • Nwogu, O.1
  • 34
    • 62749122910 scopus 로고    scopus 로고
    • A fast convolution approach to the transformation of surface gravity waves: Linear waves in 1DH
    • Schäffer H.A. A fast convolution approach to the transformation of surface gravity waves: Linear waves in 1DH. Coastal Engineering 2009, 56:517-533.
    • (2009) Coastal Engineering , vol.56 , pp. 517-533
    • Schäffer, H.A.1
  • 35
    • 0027788993 scopus 로고
    • A Boussinesq model for waves breaking in shallow water
    • Schäffer H.A., Madsen P.A. A Boussinesq model for waves breaking in shallow water. Coastal Engineering 1993, 20:185-202.
    • (1993) Coastal Engineering , vol.20 , pp. 185-202
    • Schäffer, H.A.1    Madsen, P.A.2
  • 36
    • 84988999117 scopus 로고
    • Contribution à l'étude des écoulements permanents et variables dans les canaux
    • Serre F. Contribution à l'étude des écoulements permanents et variables dans les canaux. La Houille Blanche 1953, 8:374-388.
    • (1953) La Houille Blanche , vol.8 , pp. 374-388
    • Serre, F.1
  • 38
    • 1542264613 scopus 로고    scopus 로고
    • Constituent Boussinesq equations for waves and currents
    • Shen C.Y. Constituent Boussinesq equations for waves and currents. Journal of Physical Oceanography 2001, 31:850-859.
    • (2001) Journal of Physical Oceanography , vol.31 , pp. 850-859
    • Shen, C.Y.1
  • 39
    • 0037711792 scopus 로고    scopus 로고
    • Surf zone dynamics simulated by a Boussinesq type model. III Wave-induced horizontal circulations
    • Sørensen O.R., Schäffer H.A., Madsen P.A. Surf zone dynamics simulated by a Boussinesq type model. III Wave-induced horizontal circulations. Coastal Engineering 1998, 33:155-176.
    • (1998) Coastal Engineering , vol.33 , pp. 155-176
    • Sørensen, O.R.1    Schäffer, H.A.2    Madsen, P.A.3
  • 41
    • 0029343414 scopus 로고
    • A fully nonlinear Boussinesq model for surface waves. I. Highly nonlinear, unsteady waves
    • Wei G., Kirby J.T., Grilli S.T., Subramanya R. A fully nonlinear Boussinesq model for surface waves. I. Highly nonlinear, unsteady waves. Journal of Fluid Mechanics 1995, 294:71-92.
    • (1995) Journal of Fluid Mechanics , vol.294 , pp. 71-92
    • Wei, G.1    Kirby, J.T.2    Grilli, S.T.3    Subramanya, R.4
  • 42
    • 0000053182 scopus 로고
    • A unified model for the evolution of nonlinear water waves
    • Witting J.M. A unified model for the evolution of nonlinear water waves. Journal of Comparative Physiology 1984, 56:203-236.
    • (1984) Journal of Comparative Physiology , vol.56 , pp. 203-236
    • Witting, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.