首页期刊介绍通知公告编 委 会投稿须知电子期刊广告合作联系我们在线留言
 
基于Boussinesq方程近岸波浪演变的数值研究
作者:王培涛1  于福江1 2 
单位:1. 国家海洋环境预报中心, 北京 100081;
2. 国家海洋局海洋灾害预报技术研究重点实验室, 北京 100081
关键词:Boussinesq型方程 近岸波浪模型 缓坡方程SWAN模型 Coulwave模型 
分类号:P731
出版年·卷·期(页码):2012·29·第四期(7-17)
摘要:
首先对目前描述近岸波浪传播变形的数学模型进行了回顾与总结;对不同数学模型的特点、适用范围和发展情况进行了阐述与对比.应用基于Boussinesq方程的Coulwave模式针对几个经典实验地形进行了数值实验,数值结果和实验实测数据吻合较好.此外,分别采用不同的近岸波浪模型模拟了某渔港附近波浪的传播变形,结果表明:当考虑波浪的折射、绕射、反射联合作用时,Coulwave模式计算结果明显较缓坡方程及SWAN模型计算结果更加合理.
The paper reviewed several advanced mathematical models that can be used for the description of wave deformation in port and coastal engineering.The different features of mathematical models,the applicable scale and the evaluation were discussed.The Coulwave(Cornell University Long and Intermediate Wave Modeling) model,based on Boussinesq-type equations,is used to simulate the wave propagation and deformation for several classic topography experiments with specific incident waves.The numerical results agree well with the experimental data.In addition,we compared the results of Coulwave with the SWAN and models with mild-slope equation.The results show that:when considering the interaction of the wave refraction,diffraction,reflection,Coulwave model shows high performance than the model based on mild-slope equations and SWAN model.
参考文献:
[1] 邹华志.近岸波浪的Boussinesq型方程模型及其应用[J].广东水利水电,2009(4):1-5.
[2] 李孟国,王正林,蒋德才.近岸波浪传播变形数学模型的研究与进展[J].海洋工程,2002,20(4):43-57.
[3] 文圣常,余宙文.海浪理论与计算原理[M].北京:科学出版社,1984.
[4] 李孟国,蒋德才.近岸波浪传播折射变形的数学模型概述[J].海岸工程,1999,18(4):100-109.
[5] 李春颖.基于Boussinesq方程的海岸地区波浪数学模型研究[D].天津:天津大学,2003.
[6] 王培涛.基于Boussinesq方程的近岸波浪模型的研究及应用[D].北京:国家海洋环境预报中心,2007.
[7] 王海珑.基于Boussinesq方程波浪分层数值模拟方法[D].天津:天津大学,2004.
[8] Arthur R S.Refraction of water waves by islands and shoals with circular bottom contours[J].Trans.Amer.Geophys.Un.,1946,27(2):168-177.
[9] Munk W H,Arthur R S.Wave intensity along a refacted ray.In:Gravity waves[J].Natl.Bur.Standards,1952,Circular521:98-108.
[10] 龚崇准,戴功虎.双突堤波浪绕射的数学模型[J].海洋学报,1984,6(1):99-116.
[11] 龚崇准,张长宽.任意反射率边界条件的港湾波浪绕射数学模型[J].河海大学学报,1987,15(6):72-79.
[12] 邹志利.水波理论及其应用[M].北京:科学出版社,2005
[13] Boussinesq J.Theory of wave and swells propagated in long horizontal rectangular canal and imparting to the liquid contained in this canal[J].Journal de Mathmatiques Pures et Appliquees,1872,17(2):55-108.
[14] Peregrine D H.Long waves on a beach[J].J Fluid Mech.,1967,27:815-827.
[15] Madsen P A,Sorensen O R.A new form of Boussinesq equations with improved linear dispersion characteristics:PartⅡ.A slowly varying bathymetry[J].Coast Eng,1992,18:183-204.
[16] Nwogu O.Alternative from of Boussinesq equations for nearshore wave propagation[J].Journal of Waterway,Port,Coastal and Ocean Engineering,1993,119(6):618-639.
[17] Liu P L F,Model equations for wave propagation from deep to shallow water[J].Advances in Coastal Engineering,1994,1:125-157.
[18] Wei G,Kirby J T,Grilli S T,et al.A fully nonlinear Boussinesq model for surface waves:Part I.Highly nonlinear unsteady waves[J].J.Fluid Mech.1995,294:71-92.
[19] Gobbi M F,Kirby J T.Wave evolution over submerged sills:tests of a high-order Boussinesq model[J].Coast Eng,1999,37:57-96.
[20] Lynett P J,Wu T R,Liu P L F,Modelling wave runup with depth-integrated equations[J] ,Coastal Engineering,2002,46:89-107.
[21] Lynett P,Liu P L F,Hwung H H,et al.Multi-layer modeling of wave groups from deep to shallow water,Proceedings of OMAE 2003[R].Ocean Engineering Symposium,2003,13:8-13.
[22] Lynett P,Liu P L F.A two-dimensional,depth-integrated model for internal wave propagation[J].Wave Motion in press.2002,36:221-240.
[23] Lynett P.A multi-layer approach to modeling generation propagation and interaction of water waves[D].USA:CornellUniversity,2002.
[24] Berkhoff J C W,Booy N,Radder A C.Verification of numerical wave propagation models for simple harmonic linear water waves[J].Coastal Engineering,1982,6:255-279.
服务与反馈:
文章下载】【发表评论】【查看评论】【加入收藏
 
 海洋预报编辑部 地址:北京海淀大慧寺路8号 电话:010-62105776
投稿网址:http://www.hyyb.org.cn
邮箱:bjb@nmefc.cn
本系统由北京博渊星辰网络科技有限公司设计开发 技术支持电话:010-63361626