| A Modified Form of Mild-Slope Equation with Weakly Nonlinear Effect |
| |
| 作者单位： | LI Ruijie and WANG Houjie
Dr.，Associate Professor，Engineering College of Ocean University of Qingdao，Qingdao 266003，P. R. China
Ph. D. Candidate，Engineering College of Ocean University of Qingdao，Qingdao 266003，P. R. China |
| |
| 摘 要： | Nonlinear effect is of importance to waves propagating from deep water to shallow water.Thenon-linearity of waves is widely discussed due to its high precision in application.But there are still someproblems in dealing with the nonlinear waves in practice.In this paper,a modified form of mild-slope equa-tion with weakly nonlinear effect is derived by use of the nonlinear dispersion relation and the steady mild-slope equation containing energy dissipation.The modified form of mild-slope equation is convenient to solvenonlinear effect of waves.The model is tested against the laboratory measurement for the case of a submergedelliptical shoal on a slope beach given by Berkhoff et al,The present numerical results are also comparedwith those obtained through linear wave theory.Better agreement is obtained as the modified mild-slope e-quation is employed.And the modified mild-slope equation can reasonably simulate the weakly nonlinear ef-fect of wave propagation from deep water to coast.
|
| 关 键 词： | wave propagation explicit expression of nonlinear dispersion relation weakly nonlinear effect modified mild-slope equation |
A Modified Form of Mild-Slope Equation with Weakly Nonlinear Effect |
| |
| Authors: | LI Ruijie and WANG Houjie
Dr Associate Professor Engineering College of Ocean University of Qingdao Qingdao P R China
Ph D Candidate Engineering College of Ocean University of Qingdao Qingdao P R China |
| |
| Institution: | LI Ruijie and WANG Houjie
Dr.,Associate Professor,Engineering College of Ocean University of Qingdao,Qingdao 266003,P. R. China
Ph. D. Candidate,Engineering College of Ocean University of Qingdao,Qingdao 266003,P. R. China |
| |
| Abstract: | Nonlinear effect is of importance to waves propagating from deep water to shallow water. The non-linearity of waves is widely discussed due to its high precision in application. But there are still some problems in dealing with the nonlinear waves in practice. In this paper, a modified form of mild-slope equation with weakly nonlinear effect is derived by use of the nonlinear dispersion relation and the steady mild-slope equation containing energy dissipation. The modified form of mild-slope equation is convenient to solve nonlinear effect of waves. The model is tested against the laboratory measurement for the case of a submerged elliptical shoal on a slope beach given by Berkhoff et al. The present numerical results are also compared with those obtained through linear wave theory. Better agreement is obtained as the modified mild-slope e-quation is employed. And the modified mild-slope equation can reasonably simulate the weakly nonlinear effect of wave propagation from deep water to coast. |
| |
| Keywords: | wave propagation explicit expression of nonlinear dispersion relation weakly noninear effect madified mild-slope equation |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《中国海洋工程》浏览原始摘要信息 |
| 点击此处可从《中国海洋工程》下载免费的PDF全文 |
