双色波数值模拟的造波方法研究
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摘要
为了使数值波浪水槽模型能够精确简便地代替物理模型,并为港口海洋工程及内河工程提供重要的数据支持,基于不可压缩黏性流体的N-S方程和VOF方法,运用软件FLUENT建立数值水槽。通过对软件的二次开发,进行推波板造波方法的波浪数值模拟。将物理模型实验中的Sch?ffer二阶造波理论运用于波浪数值模拟,实现基于二阶推波板造波法的双频波数值模拟。在此造波基础上,开创性地模拟出变化地形下波浪的相互作用,体现出其非线性作用。研究结果显示:(1)将各工况得出数据分别与理论值和实验值进行对比验证,表明所用方法有较好的精确性;(2)通过双色波相互作用后的频域分析得出其适用范围为0.1 In order to make the numerical wave flume model accurate and simple for replacing the physical model and provide important data support for port and ocean engineering and inland river engineering, a numerical flume is built up with the software of FLUENT based on N-S equation of incompressible viscous fluid and VOF method. Through the secondary development of the software, a numerical simulation on the wave made by the method of wave-pushing plate is carried out. The Sch?ffer second-order wave-generating theory in the physical model experiment is applied to the numerical simulation of the wave, and then the second-order wave-pushing plate wave-generating method-based numerical simulation of dual-frequency wave is realized. On this wave-generating basis, the wave interaction under the condition of changed landform is initiatively simulated, which reflects its nonlinear effect. The study result shows that(1) through comparing the data obtained from all the working conditions with both the theoretical values and the values from the relevant experiment, it is demonstrated that this method has a better accuracy;(2) through the frequency domain analysis made after the bichromatic wave interaction, it is obtained that its applicable range is 0.1
引文
[1] PHILLIPS O M.On the dynamics of unsteady gravity waves of finite amplitude Part 1.The elementary interactions[J].Journal of Fluid Mechanics,1960,9(2):193- 217.
[2] PHILLIPS O M.On the dynamics of unsteady gravity waves of finite amplitude Part 2.Local properties of a random wave field[J].Journal of Fluid Mechanics,1961,11(1):143- 155.
[3] LONGUET-HIGGINS M S.Resonant interactions between two trains of gravity waves[J].Journal of Fluid Mechanics,1962,12(3):321- 332.
[4] EL-DIB Y O.Nonlinear wave-wave interaction and stability criterion for parametrically Coupled Nonlinear Schr?dinger Equations[J].Nonlinear Dynamics,2001,24(4):399- 418.
[5] 高志一.波群中波包络相互作用及波群特性的研究[D].青岛:中国海洋大学,2009.
[6] 洪广文.关于重力表面波非线性相互作用[J].海洋学报(中文版),1980(2):158- 180.
[7] HANSEN J B,SVENDSON I A.Laboratory generation of waves of constant form[J].Coastal Engineering,1974,14(1):321- 339.
[8] WESTHUIS J,VAN GROESEN E,HUIJSMANS R.Experiments and numerics of bichromatic wave groups[J].Journal of Waterway,Port,Coastal,and Ocean Engineering,2001,127(6):334- 342.
[9] DONG G,MA Y,PERLIN M,et al.Experimental study of wave-wave nonlinear interactions using the wavelet-based bicoherence[J].Coastal Engineering,2008,55(9):741- 752.
[10] DALZELL J F.A note on finite depth second-order wave-wave interactions[J].Applied Ocean Research,1999,21(3):105- 111.
[11] MADSEN P A,SORENSEN O R.Bound waves and triad interactions in shallow water [J].Ocean Engineering,1993,20(4):359- 388.
[12] 俞聿修,桂满海.波群的数值模拟和物理模拟[J].大连理工大学学报,1998(1):90- 95.
[13] 俞聿修.随机波浪及其工程应用[M].大连:大连理工大学出版社,1992.
[14] 宁德志,石进,张晓,等.双色波与水流相互作用的模拟研究[C]// 吴有生,周如萍,颜开,等.第十一届全国水动力学学术会议暨第二十四届全国水动力学研讨会并周培源诞辰110周年纪念大会.北京:海洋出版社,2012:1118- 1125.
[15] 宁德志,石进,滕斌.均匀流中双色波传播特性的模拟研究[J].计算力学学报,2014(3):402- 407.
[16] 江兴杰,华锋,袁业立.波-波间非线性能量传输的一种新计算方法[J].海洋学报(中文版),2010,32(6):35- 40.
[17] URSELL F,DEAN R G,YU Y S.Forced small-amplitude water waves:a comparison of theory and experiment[J].Journal of Fluid Mechanics,1960,7(1):33- 52.
[18] DEAN R G,DALRYMPLE R A.Water wave mechanics for engineers and scientists[M].Prentice-Hall,1984,353.
[19] SCHAFFER H A.Second-order wavemaker theory for irregular waves[J].Ocean Engineering,1996,23(1):47- 88.
[20] SCHAFFER H A,STEENBERG C M.Second-order wavemaker theory for multidirectional waves[J].Ocean Engineering,2003,30(10):1203- 1231.
[21] 贺五洲.直立摇板简谐摇荡造二维波时所受水动力矩的频域二阶解和时域线性解[J].水动力学研究与进展(A辑),1995(2):214- 221.
[22] 贺五洲,姜鹏.论推摇混合的造波方式[J].清华大学学报(自然科学版),1998(1):47- 51.
[23] MILGRAM J H.Active water-wave absorbers[J].Journal of Fluid Mechanics,1970,42(4):845- 859.
[24] BULLOCK G N,MURTON G J.Performance of a wedge-type absorbing wave maker[J].Journal of Waterway,Port,Coastal and Ocean Engineering,1989,1(115):1- 17.
[25] 王永学.无反射造波数值波浪水槽[J].水动力学研究与进展(A辑),1994(2):205- 214.
[26] LARSEN J,DANCY H.Open boundaries in short wave simulations-a new approach[J].Coastal Engineering,1983(7):285- 297.
[27] 王本龙,刘桦.一种适用于非均匀地形的高阶Boussinesq水波模型[J].应用数学和力学,2005(6):714- 722.
[28] 周勤俊,王本龙,兰雅梅,等.海堤越浪的数值模拟[J].力学季刊,2005(4):629- 633.
[29] BRORSEN M,LARSEN J.Source generation of nonlinear gravity waves with the boundary integral equation method[J].Coastal Engineering,1987,2(11):93- 113.
[30] LIN P,L.P,LIU F.Internal wave-maker for navier-stokes equations models[J].Journal of Waterway,Port,Coastal,and Ocean Engineering,1999,125(4):207- 215.
[31] BEJI S,BATTJES J A.Experimental investigation of wave propagation over a bar[J].Coastal Engineering,1993,1(19):151- 162.
[32] LUTH H R,KLOPMAN G,KITOU N.Kinematics of waves breaking partially on an offshore bar:LDV measurements of waves with and without a net onshore current[R].Delft Hydraulics,1994.
[33] LE MEHAUTE B,DIVOKY D,LIN A.Shallow water waves:a comparison of theories and experiments[J].American Society of Civil Engineers,1968,1(11).
[2] PHILLIPS O M.On the dynamics of unsteady gravity waves of finite amplitude Part 2.Local properties of a random wave field[J].Journal of Fluid Mechanics,1961,11(1):143- 155.
[3] LONGUET-HIGGINS M S.Resonant interactions between two trains of gravity waves[J].Journal of Fluid Mechanics,1962,12(3):321- 332.
[4] EL-DIB Y O.Nonlinear wave-wave interaction and stability criterion for parametrically Coupled Nonlinear Schr?dinger Equations[J].Nonlinear Dynamics,2001,24(4):399- 418.
[5] 高志一.波群中波包络相互作用及波群特性的研究[D].青岛:中国海洋大学,2009.
[6] 洪广文.关于重力表面波非线性相互作用[J].海洋学报(中文版),1980(2):158- 180.
[7] HANSEN J B,SVENDSON I A.Laboratory generation of waves of constant form[J].Coastal Engineering,1974,14(1):321- 339.
[8] WESTHUIS J,VAN GROESEN E,HUIJSMANS R.Experiments and numerics of bichromatic wave groups[J].Journal of Waterway,Port,Coastal,and Ocean Engineering,2001,127(6):334- 342.
[9] DONG G,MA Y,PERLIN M,et al.Experimental study of wave-wave nonlinear interactions using the wavelet-based bicoherence[J].Coastal Engineering,2008,55(9):741- 752.
[10] DALZELL J F.A note on finite depth second-order wave-wave interactions[J].Applied Ocean Research,1999,21(3):105- 111.
[11] MADSEN P A,SORENSEN O R.Bound waves and triad interactions in shallow water [J].Ocean Engineering,1993,20(4):359- 388.
[12] 俞聿修,桂满海.波群的数值模拟和物理模拟[J].大连理工大学学报,1998(1):90- 95.
[13] 俞聿修.随机波浪及其工程应用[M].大连:大连理工大学出版社,1992.
[14] 宁德志,石进,张晓,等.双色波与水流相互作用的模拟研究[C]// 吴有生,周如萍,颜开,等.第十一届全国水动力学学术会议暨第二十四届全国水动力学研讨会并周培源诞辰110周年纪念大会.北京:海洋出版社,2012:1118- 1125.
[15] 宁德志,石进,滕斌.均匀流中双色波传播特性的模拟研究[J].计算力学学报,2014(3):402- 407.
[16] 江兴杰,华锋,袁业立.波-波间非线性能量传输的一种新计算方法[J].海洋学报(中文版),2010,32(6):35- 40.
[17] URSELL F,DEAN R G,YU Y S.Forced small-amplitude water waves:a comparison of theory and experiment[J].Journal of Fluid Mechanics,1960,7(1):33- 52.
[18] DEAN R G,DALRYMPLE R A.Water wave mechanics for engineers and scientists[M].Prentice-Hall,1984,353.
[19] SCHAFFER H A.Second-order wavemaker theory for irregular waves[J].Ocean Engineering,1996,23(1):47- 88.
[20] SCHAFFER H A,STEENBERG C M.Second-order wavemaker theory for multidirectional waves[J].Ocean Engineering,2003,30(10):1203- 1231.
[21] 贺五洲.直立摇板简谐摇荡造二维波时所受水动力矩的频域二阶解和时域线性解[J].水动力学研究与进展(A辑),1995(2):214- 221.
[22] 贺五洲,姜鹏.论推摇混合的造波方式[J].清华大学学报(自然科学版),1998(1):47- 51.
[23] MILGRAM J H.Active water-wave absorbers[J].Journal of Fluid Mechanics,1970,42(4):845- 859.
[24] BULLOCK G N,MURTON G J.Performance of a wedge-type absorbing wave maker[J].Journal of Waterway,Port,Coastal and Ocean Engineering,1989,1(115):1- 17.
[25] 王永学.无反射造波数值波浪水槽[J].水动力学研究与进展(A辑),1994(2):205- 214.
[26] LARSEN J,DANCY H.Open boundaries in short wave simulations-a new approach[J].Coastal Engineering,1983(7):285- 297.
[27] 王本龙,刘桦.一种适用于非均匀地形的高阶Boussinesq水波模型[J].应用数学和力学,2005(6):714- 722.
[28] 周勤俊,王本龙,兰雅梅,等.海堤越浪的数值模拟[J].力学季刊,2005(4):629- 633.
[29] BRORSEN M,LARSEN J.Source generation of nonlinear gravity waves with the boundary integral equation method[J].Coastal Engineering,1987,2(11):93- 113.
[30] LIN P,L.P,LIU F.Internal wave-maker for navier-stokes equations models[J].Journal of Waterway,Port,Coastal,and Ocean Engineering,1999,125(4):207- 215.
[31] BEJI S,BATTJES J A.Experimental investigation of wave propagation over a bar[J].Coastal Engineering,1993,1(19):151- 162.
[32] LUTH H R,KLOPMAN G,KITOU N.Kinematics of waves breaking partially on an offshore bar:LDV measurements of waves with and without a net onshore current[R].Delft Hydraulics,1994.
[33] LE MEHAUTE B,DIVOKY D,LIN A.Shallow water waves:a comparison of theories and experiments[J].American Society of Civil Engineers,1968,1(11).