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 Xinzhen Qin,Jingbo Wang,Wenyang Duan.Analytical and Numerical Study of Piston-Type Active Wave Absorbers with Different Draft Ratios[J].Journal of Marine Science and Application,2023,(3):435-444.[doi:10.1007/s11804-023-00349-3]
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Analytical and Numerical Study of Piston-Type Active Wave Absorbers with Different Draft Ratios


Analytical and Numerical Study of Piston-Type Active Wave Absorbers with Different Draft Ratios
Xinzhen Qin Jingbo Wang Wenyang Duan
Xinzhen Qin Jingbo Wang Wenyang Duan
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
Boundary element methodPiston-type wave absorberHydrodynamic coefficientsTransfer functionWave absorption efficiency
For active wave absorbers in force-control mode, the optimal feedback (control) force provided by the control system depends on the hydrodynamic forces. This work investigates a piston-type wave absorber with different draft-to-water depth ratios, focusing on the frequency-dependent hydrodynamic coefficients, wave absorption efficiency, wave absorber displacement and velocity, and control force. Analytical results were derived based on potential flow theory, confirming that regular incident waves can be fully absorbed by the piston-type active wave absorber at any draft ratio by optimizing the control force. The results for the wave tank with a typical water depth of 3 m were studied in detail. The draft ratio has a strong influence on the hydrodynamic coefficients. At the maximum wave absorption efficiency, the displacement and velocity amplitudes are sensitive to the draft ratio in the low-frequency region, increase with decreasing draft ratio, and are independent of the mass of the wave absorber. The control force required can be extremely large for a draft ratio greater than 1/3. The control force increases significantly as the draft ratio increases. The mass of the wave absorber has a weak influence on the control force. A time-domain numerical method based on the boundary element method was developed to verify the analytical solutions. Perfect agreements between the analytical solutions and the numerical results were obtained.


[1] Bessho M (1973) Feasibility study of a floating-type wave absorber. 34th JTTC, 48–65359
[2] Clement A, Maisondieu C (1993) Comparison of time domain control law for a piston wave absorber. 1993 European Wave Energy Symposium, Edinburgh, 117–122
[3] Chatry G, Clement AH, Gouraud T (1998) Self adaptive control of a piston wave-absorber. Proc. of 8th ISOPE Conference, Montreal, 127–133
[4] Christensen M, Frigaard P (1994) Design of absorbing wave maker based on digital filters. IAHR: Proc. International Symposium: Waves—Physical and Numerical Modelling, Vancouver, 100–109
[5] Faltinsen O (1993) Sea loads on ships and offshore structures. Vol. 1, Cambridge University Press
[6] Havelock TH (1929) LIX. Forced surface-waves on water. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 8(51): 569–576
[7] Hirakuchi H, Kajima R, Kawaguchi T (1990) Application of a piston-type absorbing wavemaker to irregular wave experiments. Coastal Engineering in Japan 33(1): 11–24. https://doi.org/10.1080/05785634.1990.11924520
[8] Mahjouri S, Shabani R, Rezazadeh G, Badiei P (2020). Active control of a piston-type absorbing wavemaker with fully reflective structure. China Ocean Engineering 34: 730–737. https://doi.org/10.1007/s13344-020-0066-9
[9] Milgram JH (1970) Active water-wave absorbers. Journal of Fluid Mechanics 42(4): 845–859. https://doi.org/10.1017/S0022112070001635
[10] Naito S (2006) Wave generation and absorption in wave basins: Theory and application. International Journal of Offshore and Polar Engineering 16(2): 81–89
[11] Salter SH (1981) Absorbing wave-makers and wide tanks. Proceedings of ASCE & ECOR International Symposium on Directional Wave Spectra Applications, Berkley, 81, 182–202
[12] Sch?ffer HA (1996) Second-order wavemaker theory for irregular waves. Ocean Engineering 23(1): 47–88. https://doi.org/10.1016/0029-8018(95)00013-B
[13] Skourup J (1996) Active absorption in a numerical wave tank. The Sixth International Offshore and Polar Engineering Conference, Los Angeles, 3, 31–38
[14] Spinneken J, Swan C (2009a) Second-order wave maker theory using force-feedback control. Part I: A new theory for regular wave generation. Ocean Engineering 36(8): 539–548. https://doi.org/10.1016/j.oceaneng.2009.01.019
[15] Spinneken J, Swan C (2009b) Second-order wave maker theory using force-feedback control. Part II: An experimental verification of regular wave generation. Ocean Engineering 36(8): 549–555. https://doi.org/10.1016/j.oceaneng.2009.01.007
[16] Spinneken J, Swan C (2009c) Wave generation and absorption using force-controlled wave machines. Proc. 19th Int. Offshore and Polar Eng. Conf., Osaka, ISOPE-2009-TPC-540
[17] Ursell F, Dean RG, Yu YS (1960) Forced small-amplitude water waves: a comparison of theory and experiment. Journal of Fluid Mechanics 7(1): 33–52. https://doi.org/10.1017/S0022112060000037
[18] Wang J, Faltinsen OM (2013) Numerical investigation of air cavity formation during the high-speed vertical water entry of wedges. Journal of Offshore Mechanics and Arctic Engineering 135(1): 011101. https://doi.org/10.1115/1.4006760
[19] Wang J, Lugni C, Faltinsen OM (2015) Experimental and numerical investigation of a freefall wedge vertically entering the water surface. Applied Ocean Research 51: 181–203. https://doi.org/10.1016/j.apor.2015.04.003
[20] Yang HQ, Li MG, Liu SX, Zhang Q, Wang J (2015) A piston-type active absorbing wavemaker system with delay compensation. China Ocean Engineering 29(6): 917–924. https://doi.org/10.1007/s13344-015-0064-5


Received date:2022-6-18;Accepted date:2023-3-7。
Corresponding author:Jingbo Wang,E-mail:jingbowang@hrbeu.edu.cn
Last Update: 2023-10-10