波浪与带有窄缝结构作用的非线性数值模拟
|
摘要
针对波浪与带有窄缝结构作用产生的流体共振问题,采用基于域内源造波技术的时域高阶边界元方法并在窄缝内流体引入人工阻尼,建立了自由水面满足完全非线性边界条件的二维时域数值波浪水槽模型。求解中采用混合欧拉-拉格朗日方法追踪流体瞬时水面,运用四阶龙格库塔方法更新下一时间步的波面和速度势,利用加速度势的方法来求得作用结构上的瞬时波浪荷载。通过与已发表文献的数值与实验结果对比,验证了模型的准确性。同时通过大量的数值计算研究了共振条件入射波浪非线性对反射波高、透射波高和窄缝内波高、及结构波浪荷载和压力分布的影响。
Based on a time-domain higher-order boundary element method(HOBEM) with wave generation by the inner-domain source, a two-dimensional time-domain numerical wave flume is developed to investigate the fluid resonance due to the interaction between wave and objects with a narrow gap. In the numerical model, the artificial damping is introduced into the fluid at gap and the fully nonlinear boundary conditions are satisfied on the instantaneous free surface. In the solving process, the mixed Eulerian-Lagrangian method is adopted to track the transient water surface and the 4th Runga-Kutta technique is used to refresh the velocity potential and free surface at the next time step. The acceleration potential technique is adopted to calculate the transient wave loads along the wetted object surface. By comparison with the published experimental and numerical data, the proposed model is validated. Numerical experiments are performed to study the effects of the incident wave nonlinearity on reflection wave height, transmission wave height, wave height at narrow gap, wave loads and pressure distribution at resonance.
Based on a time-domain higher-order boundary element method(HOBEM) with wave generation by the inner-domain source, a two-dimensional time-domain numerical wave flume is developed to investigate the fluid resonance due to the interaction between wave and objects with a narrow gap. In the numerical model, the artificial damping is introduced into the fluid at gap and the fully nonlinear boundary conditions are satisfied on the instantaneous free surface. In the solving process, the mixed Eulerian-Lagrangian method is adopted to track the transient water surface and the 4th Runga-Kutta technique is used to refresh the velocity potential and free surface at the next time step. The acceleration potential technique is adopted to calculate the transient wave loads along the wetted object surface. By comparison with the published experimental and numerical data, the proposed model is validated. Numerical experiments are performed to study the effects of the incident wave nonlinearity on reflection wave height, transmission wave height, wave height at narrow gap, wave loads and pressure distribution at resonance.
引文
[1]Miao G P,Ishida H,Saitoh T.Influence of gaps between multiple floating bodies on wave forces[J].China Ocean Engineering,2000,14(4):407-422.
[2]滕斌,何广华,李博宁,程亮.应用比例边界有限元法求解狭缝对双箱水动力的影响[J].海洋工程,2006,24(2):29-37.Teng B,He G H,Li B N,Cheng L.Research on the hydrodynamic influence from the gap between twin caissons by a scaled boundary finite element method[J].Ocean Engineering,2006,24(2):29-37.
[3]何广华,滕斌,李博宁,程亮.应用比例边界有限元法研究波浪与带狭缝三箱作用的共振现象[J].水动力学研究与进展A辑,2006,21(3):418-424.He G H,Teng B,Li B N,Cheng L.Research on the hydrodynamic influence from the gaps between three identical boxes by a scaled boundary finite element method[J].Journal of Hydrodynamics,Ser.A,2006,21(3):418-424.
[4]Saitoh T,Miao G P,Ishida H.Theoretical analysis on appearance condition of fluid resonance in a narrow gap between two modules of very large floating structure[C]//Proceedings of the Third Asia-Pacific Workshop on Marine Hydrodynamics.Shanghai,China,2006,170-175.
[5]Iwata H,Saitoh T and Miao G P.Fluid resonance in narrow gaps of very large floating structure composed of rectangular modules[C]//Proceedings of the Fourth International Conference on Asian and Pacific Coasts.Nanjing,China,2007,815-826.
[6]Kristiansen T,Faltinsen O M.Studies on resonant water motion between a ship and a fixed terminal in shallow water[J].Journal of Offshore Mechanics and Arctic Engineering,2009,131:021102
[7]Kristiansen T,Faltinsen O M.A two-dimensional numerical and experimental study of resonant coupled ship and pistonmode motion[J].Applied Ocean Research,2010,32:158-176.
[8]Lu L,Cheng L,Teng B,Zhao M.Numerical investigation of fluid resonance in two narrow gaps of three identical rectangular structures[J].Applied Ocean Research,2010,32(2):177-190.
[9]Lu L,Teng B,Cheng L,Sun L,Chen X B.Modelling of multi-bodies in close proximity under water waves-fluid resonance in narrow gaps[J].Science China Physics,Mechanics&Astronomy,2011,54(1):16-25.
[10]Li L,Zhang C.Analysis of wave resonance in gap between two heaving barges[J].Ocean Engineering,2016,117:210-220.
[11]Feng X,Bai W.Wave resonances in a narrow gap between two barges using fully nonlinear numerical simulation[J].Applied Ocean Research,2015,50:119-129.
[12]Brorsen M,Larsen J.Source generation of nonlinear gravity waves with the boundary integral equation method[J].Coastal Engineering,1987,11:93-113.
[13]Ning D Z,Teng B,Eatoack Taylor R,Zang J.Numerical simulation of non-linear regular and focused waves in an infinite water-depth[J].Ocean Engineering,2008,35(8-9):887-899.
[14]Tanizawa K.Long time fully nonlinear simulation of floating body motions with artificial damping zone[J].The Society of Naval Architects of Japan,1996,180:311-319.
[15]Kim Y W.Artificial damping in water wave problems I:Constant damping[J].International Journal of Offshore and Polar Engineering,2003,13(2):88-93.
[16]周斌珍,宁德志,滕斌.造波板运动造波实时模拟[J].水动力学研究与进展A辑,2009,24(4):1-12.Zhou B Z,Ning D Z,Teng B.Real-time simulation of waves generated by a wave maker[J].Journal of Hydrodynamics,Ser.A,2009,24(4):1-12.
[17]陈丽芬,宁德志,滕斌,宋伟华.潜堤上波流传播的完全非线性数值模拟[J].力学学报,2011,43(5):834-843.Chen L F,Ning D Z,Teng B,Song W H.Fully nonlinear numerical simulation for wave-current propagation over a submerged bar[J].Chinese Journal of Theoretical and Applied Mechanics,2011,43(5):834-843.
[2]滕斌,何广华,李博宁,程亮.应用比例边界有限元法求解狭缝对双箱水动力的影响[J].海洋工程,2006,24(2):29-37.Teng B,He G H,Li B N,Cheng L.Research on the hydrodynamic influence from the gap between twin caissons by a scaled boundary finite element method[J].Ocean Engineering,2006,24(2):29-37.
[3]何广华,滕斌,李博宁,程亮.应用比例边界有限元法研究波浪与带狭缝三箱作用的共振现象[J].水动力学研究与进展A辑,2006,21(3):418-424.He G H,Teng B,Li B N,Cheng L.Research on the hydrodynamic influence from the gaps between three identical boxes by a scaled boundary finite element method[J].Journal of Hydrodynamics,Ser.A,2006,21(3):418-424.
[4]Saitoh T,Miao G P,Ishida H.Theoretical analysis on appearance condition of fluid resonance in a narrow gap between two modules of very large floating structure[C]//Proceedings of the Third Asia-Pacific Workshop on Marine Hydrodynamics.Shanghai,China,2006,170-175.
[5]Iwata H,Saitoh T and Miao G P.Fluid resonance in narrow gaps of very large floating structure composed of rectangular modules[C]//Proceedings of the Fourth International Conference on Asian and Pacific Coasts.Nanjing,China,2007,815-826.
[6]Kristiansen T,Faltinsen O M.Studies on resonant water motion between a ship and a fixed terminal in shallow water[J].Journal of Offshore Mechanics and Arctic Engineering,2009,131:021102
[7]Kristiansen T,Faltinsen O M.A two-dimensional numerical and experimental study of resonant coupled ship and pistonmode motion[J].Applied Ocean Research,2010,32:158-176.
[8]Lu L,Cheng L,Teng B,Zhao M.Numerical investigation of fluid resonance in two narrow gaps of three identical rectangular structures[J].Applied Ocean Research,2010,32(2):177-190.
[9]Lu L,Teng B,Cheng L,Sun L,Chen X B.Modelling of multi-bodies in close proximity under water waves-fluid resonance in narrow gaps[J].Science China Physics,Mechanics&Astronomy,2011,54(1):16-25.
[10]Li L,Zhang C.Analysis of wave resonance in gap between two heaving barges[J].Ocean Engineering,2016,117:210-220.
[11]Feng X,Bai W.Wave resonances in a narrow gap between two barges using fully nonlinear numerical simulation[J].Applied Ocean Research,2015,50:119-129.
[12]Brorsen M,Larsen J.Source generation of nonlinear gravity waves with the boundary integral equation method[J].Coastal Engineering,1987,11:93-113.
[13]Ning D Z,Teng B,Eatoack Taylor R,Zang J.Numerical simulation of non-linear regular and focused waves in an infinite water-depth[J].Ocean Engineering,2008,35(8-9):887-899.
[14]Tanizawa K.Long time fully nonlinear simulation of floating body motions with artificial damping zone[J].The Society of Naval Architects of Japan,1996,180:311-319.
[15]Kim Y W.Artificial damping in water wave problems I:Constant damping[J].International Journal of Offshore and Polar Engineering,2003,13(2):88-93.
[16]周斌珍,宁德志,滕斌.造波板运动造波实时模拟[J].水动力学研究与进展A辑,2009,24(4):1-12.Zhou B Z,Ning D Z,Teng B.Real-time simulation of waves generated by a wave maker[J].Journal of Hydrodynamics,Ser.A,2009,24(4):1-12.
[17]陈丽芬,宁德志,滕斌,宋伟华.潜堤上波流传播的完全非线性数值模拟[J].力学学报,2011,43(5):834-843.Chen L F,Ning D Z,Teng B,Song W H.Fully nonlinear numerical simulation for wave-current propagation over a submerged bar[J].Chinese Journal of Theoretical and Applied Mechanics,2011,43(5):834-843.