Nonlinear Evolution of the Wave on the Small-Amplitude Uneven Sloping Bed
-
摘要: 天然沙质海岸上存在着不同形状的床面,波浪在其上面的传播过程是一典型的非线性演化过程.以此为工程背景,利用摄动方法对小幅度非均匀倾斜床面上波浪的非线性传播过程进行了探讨,给出了解析的表达式,并与相关的实验资料进行了比较分析,结果表明,所建立的波浪演化模型能够反映实际情况.Abstract: There are different forms of the beds on the natural sandy coast, on which the propagation process of the wave is a typical nonlinear one. Based on this, the nonlinear propagation process of the wave on the small-amplitude uneven sloping bed is analyzed by using the perturbation method. The results of the analytic expression are compared with the correlative experimental data, which shows that the practical situation can be reflected in the evolution of the estabilished model of the wave.
-
Key words:
- wave /
- sandy coast /
- non-linearity
-
[1] 李家春.现代流体力学发展的回顾与展望[J].力学进展,1995,24(4):442—450. [2] 李瑞杰,王爱群,王厚杰.波浪在浅水传播中的弱非线性效应[J].海洋工程,2000,18(3):30—38. [3] 张宝善,卢东强,戴世强. 非线性水波Hamilton系统理论与应用研究进展[J].力学进展,1998,28(4):521—531. [4] 卢东强,戴世强,张宝善.一个二流体系统中非线性水波的Hamilton描述[J]. 应用数学和力学,1999,20(4):331—336. [5] 王永学. 孤立波破碎过程试验与数模结果比较[J].大连理工大学学报,1994,34(4):463—469. [6] QI Peng, WANG Yong-xue. Hydraulic modeling of a curtain-walled dissipater by the coupling of RANS and Boussinesq equations[J].China Ocean Engineering, 2002,16(2):201—210. [7] BAI Yu-chuan,JIANG Chang-bo, SHEN Huan-ting. Large eddy simulation for wave breaking in surf zone[J].China Ocean Engineering,2001,15(4):541—552. [8] BAI Yu-chuan, NG Chiu-on.Large eddy simulation for wave plunge breaker and sediment suspension[J].China Ocean Engineering,2002,16(2):151—164. [9] Peregrine D H. Breaking wave on beaches[J].Annual Review of Fluid Mechanics,1983,15:149—178. doi: 10.1146/annurev.fl.15.010183.001053 [10] 文圣常,余宙文. 海浪理论与计算原理[M]. 北京:科学出版社,1984. [11] Mei C C,Mctique D F.Stresses in a submarine topography under ocean waves[J].Journal of Energy Resources Technology, Transactions of the ASME,1984,106(3):311—318. doi: 10.1115/1.3231059 [12] 孙孚. 均匀倾斜水底上非线性波浪的传播与变形Ⅰ——非线性波动[J]. 海洋学报,1985,7(6):674—683. [13] 孙孚. 均匀倾斜水底上非线性波浪的传播与变形Ⅱ——波浪的破碎[J]. 海洋学报,1986,8(1):1—7. [14] 胡定明.倾斜水底上线性波动势函数解析解[J]. 海洋学报,1985,7(5):539—553. [15] 陈妙福,赵耀南. 倾斜底坡上波浪的传播与破碎[J].水动力学研究与进展(A辑),1992,7(2):192—199. [16] 马峥. 非线性水波在渐变水深中的演化问题[D]. 硕士论文.天津:天津大学,1993.
计量
- 文章访问数: 2353
- HTML全文浏览量: 70
- PDF下载量: 596
- 被引次数: 0