Exact solution and approximate solution of irregular wave radiation stress for non-breaking wave

Liangduo Shen; Zhili Zou; Zhaode Zhang; Yun Pan

doi:10.1007/s13131-021-1809-z

Volume 40 Issue 7

Jul. 2021

Turn off MathJax

Article Contents

Article Navigation > Acta Oceanologica Sinica > 2021 > 40(7): 58-67

Liangduo Shen, Zhili Zou, Zhaode Zhang, Yun Pan. Exact solution and approximate solution of irregular wave radiation stress for non-breaking wave[J]. Acta Oceanologica Sinica, 2021, 40(7): 58-67. doi: 10.1007/s13131-021-1809-z

Citation:

Liangduo Shen, Zhili Zou, Zhaode Zhang, Yun Pan. Exact solution and approximate solution of irregular wave radiation stress for non-breaking wave[J]. Acta Oceanologica Sinica, 2021, 40(7): 58-67. doi: 10.1007/s13131-021-1809-z

Citation:

PDF( 1864 KB)

Exact solution and approximate solution of irregular wave radiation stress for non-breaking wave

doi: 10.1007/s13131-021-1809-z

Liangduo Shen^{1, 2, 3
,
,},
Zhili Zou⁴,
Zhaode Zhang^{1, 2},
Yun Pan¹

1.
School of Marine Engineering Equipment, Zhejiang Ocean University, Zhoushan 316022, China
2.
State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
3.
Faculty of Engineering and Mathematical Sciences, Civil, Environmental and Mining Engineering, University of Western Australia, Perth 6000, Australia
4.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China

Funds: The National Natural Science Foundation of China under contract No. 51879237; the General Project of Zhoushan Science and Technology Bureau under contract No. 2019C21026; the General Scientific Research Project of Zhejiang Education Department under contract No. Y201839488; the Fundamental Research Funds for the Provincial Universities under contract No. 2019JZ00011; the foundation of State Key Laboratory of Ocean Engineering, Shanghai Jiaotong University under contract No. 1909.

More Information

Corresponding author: E-mail: slduo@zjou.edu.cn
Received Date: 2020-10-06
Accepted Date: 2020-12-20

Available Online: 2021-04-30

Publish Date: 2021-07-25

Abstract

Abstract

Wave radiation stress is the main driving force of wave-induced near-shore currents. It is directly related to the hydrodynamic characteristics of near-shore current whether the calculation of wave radiation stress is accurate or not. Irregular waves are more capable of reacting wave motion in the ocean compared to regular waves. Therefore, the calculation of the radiation stress under irregular waves will be more able to reflect the wave driving force in the actual near-shore current. Exact solution and approximate solution of the irregular wave radiation stress are derived in this paper and the two kinds of calculation methods are compared. On the basis of this, the experimental results are used to further verify the calculation of wave energy in the approximate calculation method. The results show that the approximate calculation method of irregular wave radiation stress has a good accuracy under the condition of narrow-band spectrum, which can save a lot of computing time, and thus improve the efficiency of calculation. However, the exact calculation method can more accurately reflect the fluctuation of radiation stress at each moment and each location.
- radiation stress,
- irregular wave radiation stress,
- irregular wave,
- wave energy comparison,
- non-breaking wave

FullText(HTML)

References(19)

References

[1]	Bao Silin, Nishimura H. 2000. A new model for analyses of nearshore current. Haiyang Xuebao (in Chinese), 22(5): 115–123
[2]	Bowen A J. 1969. Rip currents: 1. Theoretical investigations. Journal of Geophysical Research, 74(23): 5467–5478. doi: 10.1029/JC074i023p05467
[3]	Cao Zude, Wang Guifen. 1993. A numerical model for sediment entrainment by wave and sediment transport by tidal current. Haiyang Xuebao (in Chinese), 15(1): 107–118
[4]	Feddersen F. 2004. Effect of wave directional spread on the radiation stress: comparing theory and observations. Coastal Engineering, 51(5−6): 473–481. doi: 10.1016/j.coastaleng.2004.05.008
[5]	Goda Y.1999. A comparative review on the functional forms of directional wave spectrum. Coastal Engineering Journal, 41(1): 9900002
[6]	Hasselmann K, Barnett T P, Bouws E, et al. 1973. Measurements of wind-wave growth and swell decay during the joint North Sea wave project (JONSWAP). In: Ergänzungsheft zur Deutschen Hydrographischen Zeitschrift. Hamburg: Deutsches Hydrographisches Institut
[7]	Li Mengguo, Shi Zhong, Li Wendan. 2006. A mathematical model for irregular multi-directional wave propagation incorporating multi-factors of transformation in the coastal waters: I. Setup of the model. Journal of Hydrodynamics (in Chinese), 21A(4): 444–450
[8]	Longuet-Higgins M S, Stewart R W. 1964. Radiation stresses in water waves; a physical discussion, with applications. Deep Sea Research and Oceanographic Abstracts, 11(4): 529–562. doi: 10.1016/0011-7471(64)90001-4
[9]	Mellor G. 2011. Wave radiation stress. Ocean Dynamics, 61(5): 563–568. doi: 10.1007/s10236-010-0359-2
[10]	Shen Liangduo, Zou Zhili, Tang Zhibo, et al. 2016. Experimental study and numerical simulation of mean longshore current for mild slope. Journal of Ship Mechanics (in Chinese), 20(8): 973–982
[11]	Song Honglin, Kuang Cuiping, Wang Xiaohua, et al. 2020. Wave-current interactions during extreme weather conditions in southwest of Bohai Bay, Ocean Engineering, 216(12): 108068
[12]	Svendsen I A. 1984. Wave heights and set-up in a surf zone. Coastal Engineering, 8(4): 303–329. doi: 10.1016/0378-3839(84)90028-0
[13]	Tang Jun, Shen Yongming, Cui Lei, et al. 2008. Numerical simulation of random wave-induced near-shore currents. Chinese Journal of Theoretical and Applied Mechanics (in Chinese), 40(4): 455–463
[14]	Willmott C J. 1981. On the validation of models. Physical Geography, 2(2): 184–194. doi: 10.1080/02723646.1981.10642213
[15]	Xia Huayong, Xia Zongwan, Zhu Liangsheng. 2004. Vertical variation in radiation stress and wave-induced current. Coastal Engineering, 51(4): 309–321. doi: 10.1016/j.coastaleng.2004.03.003
[16]	Xia Meng, Mao Miaohua, Niu Qianru. 2020. Implementation and comparison of the recent three-dimensional radiation stress theory and vortex-force formalism in an unstructured-grid coastal circulation model. Estuarine Coastal and Shelf Science, 240(9): 106771
[17]	Yao Yu, Liu Yicheng, Chen Long, et al. 2020. Study on the wave-driven current around the surf zone over fringing reefs. Ocean Engineering, 198(5): 106968
[18]	Zheng Yonghong, Shen Yongming, Qiu Dahong. 2000. Calculation of wave radiation stresses connected with the parabolic mild-slope equation. Haiyang Xuebao (in Chinese), 22(6): 110–116
[19]	Zou Zhili. 2009. Coastal Hydrodynamics (in Chinese). Beijing: China Communications Press, 110–112