2022-08-13T11:58:52Z
https://u-ryukyu.repo.nii.ac.jp/oai
oai:u-ryukyu.repo.nii.ac.jp:02002165
2022-02-14T21:27:50Z
1642837622505:1642837855274:1642837872220
1642838403551:1642838406845
線形分散性と浅海長波の非線形性を合わせ持つモデル方程式（第２報）
Model Equations Combining Full Linear Dispersion With Long Wave Nonlinearity, Part.2
筒井, 茂明
Tsutsui, Shigeaki
open access
Shallow-water waves
Linear dispersion
Nonlinearity
Modeling
Boussinesq equation
For estimation of spectral deformation of irregular waves in shallow water, analyses for waves with wide range of wave periods are necessary. A system of integro-differential equations for nonlinear wave propagation is therefore developed for representing wave fields with incident and reflected waves. The model equations combine long wave nonlinearity with full linear dispersion of short-period waves. The dispersion term is described as the integral where the kernel is the Fourier transform of the dimensionless local wave speed. Although the Fourier transform for the tree-dimensional model is unknown. the kernel for two-dimensional one acts as the logarithmic potential, as is usual in the potential theory in hydrodynamics. An approximate equation for two-dimensional. unidirectional propagation of waves is derived from the system. Numerical simulation with this equation verifies validity of the proposed system of equations, by comparing with the results of the KdV equation.
紀要論文
琉球大学工学部
jpn
departmental bulletin paper
VoR
http://hdl.handle.net/20.500.12000/2216
http://hdl.handle.net/20.500.12000/2216
https://u-ryukyu.repo.nii.ac.jp/records/2002165
0389-102X
AN0025048X
琉球大学工学部紀要
50
45
54
https://u-ryukyu.repo.nii.ac.jp/record/2002165/files/No50p45.pdf