Email Alerts
RSS
Analytical calculation of cnoidal wave diffracted force on a V-shaped breakwater
-
摘要: 应用椭圆余弦波理论，给出了V形薄壁防波堤的浅水波绕射理论解，对现有Airy微幅波理论进行了有效拓展。通过对V形防波堤的浅水波浪力进行试算，揭示了椭圆余弦波对防波堤的作用规律。计算结果表明：椭圆余弦波理论计算的V形防波堤的最大无量纲波浪力明显大于相同浅水条件下Airy微幅波理论的对应结果，该方法有效拓展了无限长直立薄壁堤的反射波理论。此外，浅水波入射角、V形堤张角和防波堤臂长与水深比等参数的变化均将对V形堤的波浪作用产生相关影响，而V形堤的实际绕射波浪力幅值将随浅水波特征参数值的增大而增大。Abstract: With the use of cnoidal wave theory, the theoretical solutions to shallow water wave diffraction by a V-shaped breakwater are derived, so the existing Airy small amplitude wave theory is effectively extended. By calculating the shallow water wave forces on the V-shaped breakwater, the law of cnoidal wave action on the breakwater has been revealed. The results show that the maximum dimensionless wave forces on the breakwater are obviously larger than those predicted by small amplitude wave theory under the same shallow water conditions. The reflected wave theory on the infinite long vertical thin-walled breakwater is effectively extended by using the method in the paper. The variation of incident wave angle, breakwater angle and ratio of breakwater arm length and water depth may have some related influence on wave effects and the practical maximum diffracted wave forces will increase as the shallow water wave characteristic parameter value increases.
-
Key words:
- cnoidal wave /
- V-shaped breakwater /
- wave force /
- wave diffraction
-
图 2 与无限长密实直墙堤的中心线剖面的比较
Figure 2. Comparation of central profile with infinite long solid wall (
$\lambda = 1, \;a = 1\;000,\; d = 2,\; \alpha = {\text{π}},\; \beta= {\text{π}}/2$ )
图 3 不同臂长水深比下最大无量纲波浪力随
$kd$ 的变化Figure 3. Maximum dimensionless wave force for different arm length-water depth ratio
$\left( {\beta = {\text{π}}/3,\;\lambda {\rm{ = }}3,\;\alpha {\rm{ = }}2{\text{π}}/3} \right)$ 
图 4 不同臂长水深比下最大无量纲波浪力随
$kd$ 的变化Figure 4. Maximum dimensionless wave force for different arm length-water depth ratios
$\left( {\beta = {\text{π}}/2,\;\lambda {\rm{ = }}3,\;\alpha = {\text{π}}} \right)$ 
图 5 不同来波入射角下最大无量纲波浪力随
$kd$ 的变化Figure 5. Maximum dimensionless wave force for different incident angles
$\left( {\lambda = 3,\;d/a = 1/5,\;\alpha = 2{\text{π}}/3} \right)$ 
图 6 不同入射角下最大无量纲波浪力随
$kd$ 的变化Figure 6. Maximum dimensionless wave force for different incident angles
$\left( {\lambda = 3,\;d/a = 1/5,\;\alpha = {\text{π}}} \right)$ 
图 7 不同张角下V形堤的最大无量纲波浪力随
$kd$ 的变化Figure 7. Maximum dimensionless wave force for different opening angles of the breakwater (λ
=3, d/a=1/5, β=π/4, π/3, π/2) 
图 8 不同
$kd$ 下最大无量纲波浪力随浅水波特征参数$\lambda $ 的变化Figure 8. Maximum dimensionless wave force for different characteristic parameters of shallow water (β=π/3, α=2π/3, d/a=1/5)
-
[1] STOKER J J. Water waves[M]. New York: Interscience Publishers, 1957: 69-147. [2] LICK W. Diffraction of waves by a wedge[J]. Journal of the Waterway, Port, Coastal and Ocean Division, 1978, 104(2): 119-133. [3] 洪广文. 不完全反射边界楔形堤和隅角堤波浪绕射理论解析解[J]. 海洋学报,1990,12(4):487-504. (HONG Guangwen. Analytical solution for wave diffraction theory of incompletely reflecting boundary wedge-shaped dykes and corner dykes[J]. Acta Oceanologica Sinica, 1990, 12(4): 487-504. (in Chinese) [4] 何军, 蒋昌波, 李冬, 等. T型防波堤与波浪相互作用数值研究[J]. 海洋工程,2010,28(1):50-57. (HE Jun, JIANG Changbo, LI Dong, et al. Numerical study on T-type breakwaters interaction with wave[J]. The Ocean Engineering, 2010, 28(1): 50-57. (in Chinese) doi: 10.3969/j.issn.1005-9865.2010.01.008 [5] 胡宝琳, 姚文娟, 刘逸敏, 等. 波浪荷载对半圆型潜堤作用的数值分析[J]. 水利水运工程学报,2013(3):38-44. (HU Baolin, YAO Wenjuan, LIU Yimin, et al. Numerical analysis of wave load on a submerged semi-circular breakwater[J]. Hydro-Science and Engineering, 2013(3): 38-44. (in Chinese) doi: 10.3969/j.issn.1009-640X.2013.03.007 [6] 朱梦华, 黄华, 詹杰民, 等. 椭圆余弦波对透空直立防波堤波浪力解析计算[J]. 人民黄河,2015,37(11):36-39, 42. (ZHU Menghua, HUANG Hua, ZHAN Jiemin, et al. Analytical calculation of cnoidal wave forces on the porous vertical breakwater[J]. Yellow River, 2015, 37(11): 36-39, 42. (in Chinese) doi: 10.3969/j.issn.1000-1379.2015.11.010 [7] 朱梦华, 黄华, 詹杰民, 等. 斜入射椭圆余弦波对直立防波堤的波浪渗流作用[J]. 中山大学学报(自然科学版),2016,55(4):39-46. (ZHU Menghua, HUANG Hua, ZHAN Jiemin, et al. Oblique incidence cnoidal water wave-induced seepage effects on vertical breakwater[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2016, 55(4): 39-46. (in Chinese) [8] 楚玉川, 程建生, 赵鑫, 等. 圆弧型贯底式防波堤上波浪作用力的解析研究[J]. 水动力学研究与进展,2014,29(2):212-217. (CHU Yuchuan, CHENG Jiansheng, ZHAO Xin, et al. Analytical study on the wave force of arc-shaped bottom-mounted breakwaters[J]. Chinese Journal of Hydrodynamics, 2014, 29(2): 212-217. (in Chinese) [9] 张敖, 黄华, 詹杰民, 等. 椭圆余弦波对圆弧型固立防波堤的绕射波浪力[J]. 水运工程,2017(3):28-33. (ZHANG Ao, HUANG Hua, ZHAN Jiemin, et al. Diffracted wave forces caused by cnoidal wave on arc-shaped bottom-mounted breakwater[J]. Port & Waterway Engineering, 2017(3): 28-33. (in Chinese) doi: 10.3969/j.issn.1002-4972.2017.03.006 [10] 张敖, 黄华, 詹杰民, 等. 圆弧型贯底式透空防波堤对孤立波的绕射[J]. 中山大学学报(自然科学版),2017,56(3):8-16. (ZHANG Ao, HUANG Hua, ZHAN Jiemin, et al. Diffraction of solitary wave by arc-shaped bottom-mounted porous breakwater[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2017, 56(3): 8-16. (in Chinese) [11] 蒋学炼, 马青山, 李珊珊, 等. 考虑绕射效应的沿堤波浪力波动分析[J]. 水利水运工程学报,2012(5):1-7. (JIANG Xuelian, MA Qingshan, LI Shanshan, et al. Undulation analysis of wave force along breakwater considering wave diffraction[J]. Hydro-Science and Engineering, 2012(5): 1-7. (in Chinese) doi: 10.3969/j.issn.1009-640X.2012.05.001 [12] CHANG K H, TSAUR D H, HUANG L H. Accurate solution to diffraction around a modified V-shaped breakwater[J]. Coastal Engineering, 2012, 68: 56-66. doi: 10.1016/j.coastaleng.2012.05.002 -
下载:
点击查看大图
计量
- 文章访问数: 1176
- HTML全文浏览量: 379
- PDF下载量: 22
- 被引次数: 0
