基于Boussinesq模型的刚性植被水域波浪传播特性数值分析
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摘要
通过在Boussinesq水波模型中引入拖曳应力项来考虑植被对波浪的衰减作用,建立了波浪在近岸刚性植被水域传播运动的数值模型。在对模型进行验证的基础上,模拟分析了植被特征参数与入射波要素对波浪传播运动的影响。数值模拟结果表明,波浪在近岸植被区传播时,随着植被密度和植被淹没高度的增加,波浪传播中波高衰减率增大、波能损耗率增大;随着入射波高的增加,波浪传播中波高衰减率增大、波能损耗率增大。
The numerical model for wave propagation in rigid vegetation water was developed based on Boussinesq equation,in which the drag force due to vegetation was added.The model was verified by comparing the numerical and experimental results. The model was used to test the effects of vegetation parameters as well as the incident wave parameters on wave propagation.The numerical results indicates that the ratio of wave height attention and wave energy attention increase with the increasing of plant density and plant diameter,as well as the incident wave height.
The numerical model for wave propagation in rigid vegetation water was developed based on Boussinesq equation,in which the drag force due to vegetation was added.The model was verified by comparing the numerical and experimental results. The model was used to test the effects of vegetation parameters as well as the incident wave parameters on wave propagation.The numerical results indicates that the ratio of wave height attention and wave energy attention increase with the increasing of plant density and plant diameter,as well as the incident wave height.
引文
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[14]王瑞雪.非淹没刚性植物对波浪传播变形影响实验研究[D].长沙:长沙理工大学,2012.
[15]LYNETT P J,LIU P L F,KIM D H,et al.Modeling wave generation evolution and interaction with depthintegrated,dispersive wave equations[R].USA:South California University,2008.
[2]DUBI A,TORUM A.Wave damping by kelp vegetation[C].USA:Proceedings of the 24th Coastal Engineering Conference,1995:142-156.
[3]QUARTEL S,KROON A,AUGUSTINUS P G E F,et al.Wave attenuation in coastal mangroves in the Red River Delta,Vietnam[J].Journal of Asian earth sciences,2007,29(4):576-584.
[4]PAUL M,BOUMA T J,AMOS C L.Wave attenuation by submerged vegetation:combining the effect of organism traits and tidal current[J].Marine ecology-progress series,2012(1):31-41.
[5]AUGUSTIN L N,IRISH J L,LYNETT P.Laboratory and numerical studies of wave damping by emergent and nearemergent wetland vegetation[J].Coastal engineering,2009,56(3):332-340.
[6]KUIRY S N,DING Y.A hybrid finite-volume/finitedifference based one-dimensional Boussinesq model for waves attenuated by vegetation[J].Journal of ocean engineering&marine energy,2015,2(1):1-16.
[7]王磊,房克照,尹晶,等.近岸波浪在刚性植被区域传播的数学模型[J].海洋工程,2015,33(6):62-69.
[8]张明亮,时锋,郝子宁.具有捕捉激波能力的一维溃坝波及孤立波爬坡数学模型[J].水动力学研究与进展,2012,27(6):687-695.
[9]HUANG Z,YAO Y,SIM S Y,et al.Interaction of solitary waves with emergent,rigid vegetation[J].Ocean engineering,2011,38(10):1 080-1 088.
[10]姚宇,杜睿超,袁万成,等.斜坡非淹没刚性植被影响下孤立波爬高的研究[J].水动力学研究与进展,2015,30(5):506-515.
[11]MENDEZ F J,LOSADA I J.An empirical model to estimate the propagation of random breaking and nonbreaking waves over vegetation fields[J].Coastal engineering,2004,51(2):103-118.
[12]TANINO Y,NEPF H M.Laboratory investigation of mean drag in a random array of rigid,emergent cylinders[J].Journal of hydraulic engineering,2008,134(1):34-41.
[13]解学超,林鹏志.浅水方程模型模拟非淹没刚性植被阻力特性[J].西南民族大学学报,2010,36(3):446-449.
[14]王瑞雪.非淹没刚性植物对波浪传播变形影响实验研究[D].长沙:长沙理工大学,2012.
[15]LYNETT P J,LIU P L F,KIM D H,et al.Modeling wave generation evolution and interaction with depthintegrated,dispersive wave equations[R].USA:South California University,2008.