非线性波传播的新型数值模拟模型及其实验验证

张洪生; 冯文静; 王亚玲; 吴中; 缪国平

非线性波传播的新型数值模拟模型及其实验验证

1.
上海交通大学, 船舶海洋与建筑工程学院, 上海, 200030
2.
上海海事大学, 交通运输学院, 上海, 200135
3.
河海大学, 交通与海洋工程学院, 江苏, 南京, 210024

基金项目: 国家自然科学基金资助项目(40676053;40106008);2005年上海高等学校选拔培养优秀青年教师科研专项基金资助项目(032711)

计量
- 文章访问数: 705
- HTML全文浏览量: 11
- PDF下载量: 910
- 被引次数: 0
出版历程
- 收稿日期: 2006-06-05
- 修回日期: 2007-04-27

A new approach to numerical simulation of nonlinear wave propagation and its experimental verification

1.
School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200030, China
2.
College of Transport and Communications, Shanghai Maritime University, Shanghai 200135, China
3.
College of Traffic and Ocean Engineering, Hohai University, Nanjing 210024, China

摘要

摘要: 以一种新型的Boussinesq型方程为控制方程组,采用五阶Runge-Kutta-England格式离散时间积分,采用七点差分格式离散空间导数,并通过采用恰当的出流边界条件,从而建立了非线性波传播的新型数值模拟模型.通过对均匀水深水域内波浪传播的数值模拟说明,模型能较好地模拟大水深水域和强非线性波的传播.通过设置不同的入射波参数来进行潜堤地形上波浪传播的物理模型实验,并将数值解与物理模型实验结果进行了比较.
- 数值模拟 /
- 新型Boussinesq型方程 /
- 非线性波 /
- 物模实验
Abstract: Anumerical model is developed with a new type of Boussinesq equations employed as the governing equations.In the present numerical model,the seven-point finite difference scheme is used to discretize the spatial derivatives,the fifth-order Runge-Kutta-England scheme is employed to perform the time integration,and the appropriate out flow boundary condition is adopted.Systematic numerical modeling of wave propagation is performed with a uniform depth from shallow to deep water and from linear to nonlinear waves.The calculations show that the results of the present numerical model are basically agreement with those of analytical solutions.An experiment is carried out for wave propagation over a submerged bar with different incident wave parameters.The comparisons between the numerical resolutions and the experimental data are made.
- numerical simulation /
- new type of Boussinesq equations /
- nonlinear waves /
- physical model experiment

HTML全文

参考文献(31)

PEREGRINED H.Long waves on a beach[J].J Fluid Mechanics,1967,27(4):815-827.

MADSEN P A,MUNRAY R,SφRENSEN O R.A new form of the Boussinesq equations with improved linear dispersion characteristics[J].Coastal Engineering,1991,15:371-388.

MADSEN P A,SφRENSEN O R.A new form of the Boussinesq equations with improved linear dispersion characteristics:Part 2.A slowly-varying bathymetry[J].Coastal Engineering,1992,18:183-204.

邹志利.高阶Boussinesq水波方程[J].中国科学(E辑),1997,27(5):460-473.

NWOGU O.Alternative form of Boussinesq equations for nearshore wave propagation[J].J Waterway,Port,Coastal and Ocean Engineering,ASCE,1993,119(6):618-638.

HONG Guang-wen.Higher order models of nonlinear and dispersive wave in water of varying depth with arbitrary sloping bottom[J].China Ocean Engineering,1997,11(3):243-260.

张永刚,李玉成.促进其线性频散特征另一种形式的Boussinesq方程[J].力学学报,1997,29(2):142-149.

SCH(A)FFER H A,MADSEN P A.Further enhancements of Boussinesq-type equations[J].Coastal Engineering,1995,26:1-14.

林建国,邱大洪,邹志利.新型Boussinesq方程的进一步改善[J].海洋学报,1998,20(2):113-119.

AGNON Y,MADSEN P A,SCH(A)FFER H A.A new approach to high-order Boussinesq models[J].J Fluid Mechanics,1999,399:319-333.

WANG Ya-ling,ZHANG Hong sheng,MIAO Guo-ping,et al.A new approach to high order Boussinesq-type equations with ambient currents[J].China Ocean Engineering,2005,19 (1):49-60.

朱良生,洪广文.任意水深变化Boussinesq型方程非线性波数值模拟[J].海洋工程,2000,18(2):29-37.

陈阳,严以新.Boussinesq型方程波浪数学模型的应用[J].海洋工程,1999,17(4):85-94.

李熙,王义刚.透空式防波堤周围的非线性波浪传播的数值模拟[J].海洋工程,2004,22(3):97-101.

钦文婷,龙文,陶建华.Boussinesq型方程的高精度求解及其验证[J].水动力学研究与进展(A辑),2002,17(1):32-38.

张洪生.非线性波传播的数值模拟[D].南京:河海大学,2000.

ZHANG Hong-sheng,HONG Guang-wen,DING Ping xing.Numerical modelling of standing waves with three-dimensional non-linear wave propagation model[J].China Ocean Eng,2001,15(4):521-530.

张洪生,洪广文.Boussinesq型方程对三维非线性波传播的数值模拟[J].华东师范大学学报(自然科学),2002,(3):88-94.

郑永红,沈永明,吴修广,等.用改进的Boussinesq方程模拟潜堤上的波浪变形[J].中国工程科学,2004,6(4):34-40.

ZOU Zhi-li,ZHANG,Xiao-li.Numerical model of higher-order Boussinesq equations and comparisons with laboratory measurements[J].China Ocean Engineering,2001,15(2):229-240.

LI Y S,LIU S X,YU Y X,et al.Numerical modelling of Boussinesq equations by finite element method[J].Coastal Engineering,1999,37:97-122.

ZHAO M,TENG B,CHENG L.A new form of generalized Boussinesq equations for varying depth[J].Ocean Eng,2004,31:2 047-2 072.

MADSEBN P A,BINGHAM H B,LIU Hua.A new Boussinesq method for fully nonlinear waves from shallow to deep water[J].J Fluid Mechanics,2002,462:1-30.

OHYAMA T,KOIKA W,TADA A.Applicability of numerical models to nonlinear dispersive waves[J].Coastal Engineering,1995,24:297-313.

LUTH H R,KLOPMAN R,KITOU N.Kinematics of waves breaking partially on an offshore bar; LDV measurements of waves with and without a net onshore current.Report H-1573[R].Delft Hydraulics,40.

王亚玲.近岸水域中非线性波传播的数值模拟[D].上海交通大学,2005.

LARSEN J,DANCY H.Open boundaries in short wave simulations-a new approach[J].Coastal Engineering,1983,7:285-297.

SOMMERFELD A.Partial differential equation.Lectures in Theoretical Physics:Vol.6[M].New York:Academic Press,1949.

SHAPIRO R.Smoothing,filtering and boundary effects[J].Geophys Space Phys,1970,8(2):359-387.

BEJI S,BATTJES J A.Experimental investigation of wave propagation over a bar[J].Coastal Engineering,1993,19:151-162.

GOBBI M F,KIRBY J T.Wave evolution over submerged sills:tests of a high-order Boussinesq model[J].Coastal Engineering,1999,37:57-96.

施引文献

资源附件(0)

访问统计

点击查看大图

计量

文章访问数: 705
HTML全文浏览量: 11
PDF下载量: 910
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板