台阶式变深水槽造波的解析研究
The analytical study on wave generated in a depth-varied water-flume in step-type
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摘要: 利用特征函数展开法对台阶式变深水槽中推板式造波机造波问题进行了研究,建立了相应速度势和波面的解析表达式。与高阶边界元方法(HOBEM)数值结果进行了对比,验证了本解析解的正确性。通过数值试验,研究了台阶对入射波的影响,同时分析了造波板所在位置(上部台阶)水深、水槽工作区(下部台阶)水深、造波板运动周期和造波板水平位置等因素对生成波浪高度的影响。由此选择合适的造波板所在位置及水深来得到所需要的波浪高度,进而根据需要生成波浪的周期和波幅来反演造波板的运动。Abstract: Based on the eigenfunction expansion technique,an analytical study on the wave generated by a piston wave generator in a depth-varied water-flume in step-type is carried out.The corresponding velocity potential and wave elevation in the flume are developed.The analytical solution is verified by a higher-order boundary element method (HOBEM).Numerical experiments are carried out to study the effect of the step on the generated wave height due to the step,the ratio of water depths at the up and low steps,the wave generator position,and the period of the wave generator motion.According to research,the suitable water depths and the wave generat or position can be chosen to reach the required wave height Meanwhile,the amplitude of the wave generator motion can be deduced according to the expected wave period and amplitude.
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Key words:
- depth-varied water flume /
- horizontal step /
- wave generator /
- eigenfunction /
- analytical study
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NEWMAN J N.Propagation of water waves over an infinite step[J].Fluid Mech,1965,23(2):399-415. 刘应中,缪国平.船舶在渡浪上的运动理论[M].上海:上海交通大学出版社,1987. LEE C C,LIU Y H,KIM C H.Simulation of nonlinear waves and forces due to transient and steady motion of submerged sphere[J].International Journal of Offshore and Polar Engineering,1994,4(3):174-182. FONSECA N,SOARES C.Time-domain analysis of large-amplitude vertical ship motions and wave loads[J].Journal of Ship Research,1998,42 (2):139-153. NING D Z,TENG B,TAYLOR R E,et al.Numerical simulation of nonlinear regular and focused waves in an infinite water-depth[J].Ocean Engineering,2008,35:887-899. HAVELOCK T H.Forced surface-wave on water[J].Philosophical Magazine,1929,8 (7):569-576. BIESEL F,SUQUET F.Laboratory wave generating apparatus[R].Project Report No.39.St.Anthony Falls Hydraulic Laboratory,University of Minnesota,Minneapolis,Minnesota,USA,1953. 李玉成,滕斌.波浪对海上建筑物的作用[M].第2版.北京:海洋出版社,2002. WOJCIECH S,MACIEJ P.Generation and propagation of transient nonlinear waves in a wave flume[J].Coastal Engineering,2008,55:277-287. 史桂香,贺五洲.摇板式造渡机所造二维规则波的数值模拟[J].黑龙江大学自然科学学报,1993,3:56-63. 贺五洲,段文洋.摇板式造波机所造二维波的完全非线性解[J].水动力学研究与进展.1996,11:35-42. 贺五洲,袁亨亮,耿进柱.摇板式造波机生成的长峰规则波[J].水力发电学报,2002,76:146-152. -
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