非线性波传播的新型数值模拟模型及其实验验证 引入变换速度变量

张洪生; 冯文静; 商辉

非线性波传播的新型数值模拟模型及其实验验证引入变换速度变量

上海交通大学, 船舶海洋与建筑工程学院, 上海, 200030

基金项目: 国家自然科学基金资助项目(40676053;40106008)

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出版历程
- 收稿日期: 2006-08-21
- 修回日期: 2006-11-17

A new approach to numerical simulation of nonlinear wave propagation and its experimental verification Introducing utility velocity variables

School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200030, China

摘要

摘要: 以一种新型的含变换速度变量的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.对均匀水深水域内波浪传播的数值模拟,说明在引入变换速度后进一步增大了模型的水深适用范围.对潜堤地形上波浪传播的数值模拟说明,在引入变换速度后进一步提高了模型的数值模拟精度.
- 数值模拟 /
- 新型Boussinesq型方程 /
- 变换速度变量 /
- 非线性波 /
- 潜堤
Abstract: A numerical model is developed with a new type of Boussinesq equations including utility velocity variables employed as the governing equations.In the present 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 uniform depth from shallow to deep water and from linear to nonlinear waves.The calculation results show that the present numerical model with utility velocity variables is valid for greater water depth than that without utility velocity variables.The numerical simulation of wave propagation is also performed in a wave tank with a submerged dike, and the comparisons between experimental data and numerical solutions are made.The calculation results show that the present numerical model is more accurate than that without utility velocity variables.
- numerical simulation /
- new type Boussinesq equations /
- utility velocity variables /
- nonlinear waves /
- submerged dike

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参考文献(24)

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

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

MADSEN P A,SORENSEN 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.

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.

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

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.

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

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.

张洪生,冯文静,王亚玲,等.非线性波传播的新型数值模拟模型及其实验验证[J],海洋学报,2007,29(4):137-147.

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.

MADSEN 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.

冯文静.非线性波传播的新型数值模拟模型[D].上海:上海交通大学,2007.

王亚玲.近岸水域水流中非线性波传播的数值模拟[D].上海:上海交通大学,2005.

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.

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

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

张洪生.非线性波传播的数值模拟[D].南京,河海大学,2000.

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.

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.

DINGEMANS M W.Comparison of computations with Boussinesq-like models and laboratory measurements.Report H-1684:Vol.12[R].Delft Hydraulics,1994.32.

WEI G,KIRBY J T,GRILLI S T,et al.A fully nonlinear Boussinesq model for surface waves:Part 1.Highly nonlinear unsteady waves[J].J Fluid Mechanics,1995,294:71-92.

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