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Numerical Modelling of Standing Waves with Three-Dimensional Non-Linear Wave Propagation Model 被引量:3

Numerical Modelling of Standing Waves with Three-Dimensional Non-Linear Wave Propagation Model
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摘要 Based on the theoretical high-order model with a dissipative term for non-linear and dispersive wave in water of varying depth, a 3-D mathematical model of non-linear wave propagation is presented. The model, which can be used to calculate the wave particle velocity and wave pressure, is suitable to the complicated topography whose relative depth (d/lambda(0), ratio of the characteristic water depth to the characteristic wavelength in deep-water) is equal to or smaller than one. The governing equations are discretized with the improved 2-D Crank-Nicolson method in which the first-order derivatives are corrected by Taylor series expansion, And the general boundary conditions with an arbitrary reflection coefficient and phase shift are adopted in the model. The surface elevation, horizontal and vertical velocity components and wave pressure of standing waves are numerically calculated. The results show that the numerical model can effectively simulate the complicated standing waves, and the general boundary conditions possess good adaptability. Based on the theoretical high-order model with a dissipative term for non-linear and dispersive wave in water of varying depth, a 3-D mathematical model of non-linear wave propagation is presented. The model, which can be used to calculate the wave particle velocity and wave pressure, is suitable to the complicated topography whose relative depth (d/lambda(0), ratio of the characteristic water depth to the characteristic wavelength in deep-water) is equal to or smaller than one. The governing equations are discretized with the improved 2-D Crank-Nicolson method in which the first-order derivatives are corrected by Taylor series expansion, And the general boundary conditions with an arbitrary reflection coefficient and phase shift are adopted in the model. The surface elevation, horizontal and vertical velocity components and wave pressure of standing waves are numerically calculated. The results show that the numerical model can effectively simulate the complicated standing waves, and the general boundary conditions possess good adaptability.
出处 《China Ocean Engineering》 SCIE EI 2001年第4期521-530,共10页 中国海洋工程(英文版)
基金 This subject was partly supported by the National Excellent Youth Foundation of China (Grant No. 49825161)
关键词 standing waves mathematical model general boundary conditions standing waves mathematical model general boundary conditions
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  • 1Hong Guangwen(Received December 20 1990,acepted June 15, 1991).Theoretical solution for wave diffraction by wedge or corner with arbitrary reflection characteristics[J].Acta Oceanologica Sinica,1992,11(2):287-303. 被引量:1
  • 2Orlanski I.A simple boundary condition for unbounded hyperbolic flows,1976.
  • 3AA.
  • 4Nwogu,O.Alternative Form of Boussinesq Equations for Nearshore Wave Propagation. J.of Waterway,Port,Coastal and Ocean Eng . 1993
  • 5Tanimoto,K.,K.Kobune.Computation of Waves in a Harbor Basin by a Numerical Wave Analysis Method. Proc.of 22nd Japanese Conf.on Coast.Eng . 1975
  • 6Beji,S.,Nadaoka,K.A formal derivation and numerical modeling of the improved Boussinesq equations for varying depth. Coastal Engineering . 1996
  • 7Enquist.B.and A.Majda,1977.Absorbing Boundary Conditions for the Numerical Simulation of Waves,Math. Company Van .
  • 8SchafferHA,MadsenPA.FurtherenhancementsofBoussinesq_typeequations. CoastalEng . 1995
  • 9Larsen J,Dancy H.Open boundaries in short-wave simulations——a newapproach. Coastal Engineering . 1983
  • 10MADSEN P A,MURRAY R,S?RENSEN O R.A newform of the Boussinesq equations with improved lineardispersion characteristics. Coastal Engineering . 1991

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