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CHEBYSHEV FINITE SPECTRAL METHOD FOR 2-D EXTENDED BOUSSINESQ EQUATIONS

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Journal of Hydrodynamics 2011年第1期23卷 1-11页

作者： li yok-sheung ZHAN Jie-min, SU Wei Department of Civil and Structural Engineering The Hong Kong Polytechnic University Hong Kong China Department of Applied Mechanics and Engineering Sun Yat-sen University Guangzhou 510275 China

In this article,an accurate Chebyshev finite spectral method for the 2-D extended Boussinesq equations is *** method combines the advantages of both the finite difference and spectral *** Adams-Bashforth predictor and the fourth-order Adams-Moulton corrector are adopted for the numerical solution of the governing differential *** efficient wave absorption strategy is also proposed to effectively absorb waves at outgoing wave boundaries and reflected waves from the interior of the computational domain due to barriers and bottom slopes at the incident wave boundary to avoid contamination of the specified incident wave *** proposed method is verified by a case where experimental data are available for comparison for both regular and irregular *** case is wave diffraction over a shoal reported by Vincent and *** results agree very well with the corresponding experimental data.

关键词： Chebyshev polynomial finite spectral method irregular waves

A LARGE EDDY SIMULATION TURBULENCE MODEL FOR COASTAL SEAS AND SHALLOW WATER PROBLEMS

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Journal of Hydrodynamics 2001年第4期13卷 24-27页

作者： Zhan, Jie-Min li, yok-sheung Dept. of Appl. Mech. and Eng. Zhongshan Univ. Guangzhou 510275 China

In large scale motions of circulations in coastal seas and shallow-water problems, different characteristics of flow in the horizontal plane and in the vertical direction are expected. A new large eddy simulation model was proposed. There are some differences between the present method and the other LES models. The philosophy of the large eddy simulation and the directional eddy viscosity method were applied in the horizontal plane and in the vertical direction, respectively. Compared with the other LES models in which there is no difference between horizontal viscosity and vertical viscosity, the proposed method is reasonable.

关键词： Computational fluid dynamics Computer simulation

In-line response of vertical cylinders in regular and random waves

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Acta Oceanologica Sinica 2007年第6期26卷 124-138页

作者： li yok-sheung SU Wei ZHAN Jiemin ZHAN Sheng Department of Civil ＆ Structural Engineering The Hong Kong Polytechnic UniversityHong Kong China Department of Applied Mechanics and Engineering Zhongshan University Guangzhou 510275 China

The in-line response of a vertical flexibly mounted cylinder in regular and random waves is reported. Both theoretical analyses and experimental measurements have been performed. The theoretical predictions are based on the Morison equation which is solved by the incremental harmonic balance method. Experiments are then performed in a wave flume to determine the accuracy of the Morison equation in predicting the in-line response of the cylinder in regular and random waves. The interaction between waves and vibrating cylinders are investigated.

关键词： in-line response cylinder waves IHB method

TYPHOON PROCESS AND ITS IMPACT ON THE SURFACE CIRCULATION IN THE NORTHERN SOUTH CHINA SEA

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Journal of Hydrodynamics 2011年第1期23卷 95-104页

作者： TANG ling ZHAN Jie-min CHEN Yi-zhan li yok-sheung NIE Yu-hua Department of Applied Mechanics and Engineering Sun Yat-sen University Guangzhou 510275 China Department of Civil and Structural Engineering The Hong Kong Polytechnic University Hong Kong China South China Sea Branch State Oceanic Administration Guangzhou 510300 China

A severe typhoon Utor,occurring between July 3 and 8,2001,brought heavy rainfall,strong wind and storm *** was responsible for tremendous destruction and economic losses in Philippines,Taiwan and *** air-sea model system （MM5 and Princeton Ocean Model（POM））was built to simulate meteorological dynamics and ocean circulation in the South China Sea（SCS）.In the POM the output of MM5 was used as the input *** an increased number of vertical levels,a high-resolution planetary boundary layer scheme and updated landuse/vegetation data,the accuracy of computing wind,temperature and other meteorological fields are improved in near surface and upper levels in MM5 *** simulated trajectory and wind speed of Utor are close to the observed *** simulated distribution of rainfall is accorded well with measured data in the Pearl River Delta（PRD）*** different meteorological stations in Hong Kong,the wind,temperature and sea surface pressure are well *** simulated ocean surface current and surface temperature fields have an obvious rightward-biased response to the typhoon Utor,and the maximum velocity and the lowest temperature region appear in the 30 km of the right side of the typhoon *** typhoon Utor could make the water 50m under the surface ocean unwell to surface and the ocean surface temperature decrease by about 2°C.

关键词： mesoscale model MM5 Princeton Ocean Model(POM) air-sea coupling ocean surface circulation

3D Numerical Simulation Analysis of Passive Drag near Free Surface in Swimming

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China Ocean Engineering 2015年第2期29卷 265-273页

作者：詹杰民李天赠陈学彬李毓湘韦永康 Department of Applied Mechanics and Engineering Sun Yat-sen University Department of Civil and Environmental Engineering The Hong Kong Polytechnic University

The aim of this work is to build a 3D numerical model to study the characteristics of passive drag on competitive swimmers taking into account the impact of the free surface. This model solves the 3D incompressible Navier-Stokes equations using RNG k-ε turbulence closure. The volume of fluid（VOF） method is used to locate the free surface. The 3D virtual model is created by Computer Aided Industrial Design（CAID） software, Rhinoceros. Firstly, a specific posture of swimming is studied. The simulation results are in good agreement with the data from mannequin towing experiments. The effects of a swimmer＇s arms and legs positions on swimming performance are then studied. Finally, it is demonstrated that the present method is capable of simulating gliding near the free surface.

关键词： swimming passive drag VOF method numerical simulation

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多孔介质中盐指现象的数值模拟

物理学报 2008年第4期57卷 2306-2313页

作者：罗莹莹詹杰民李毓湘中山大学应用力学与工程系广州510275 香港理工大学土木及结构工程系中国香港中山大学近岸海洋工程广东省重点实验室广州510275

运用基于杂交网格的高精度数值方法研究了多孔介质中的盐指现象.该算法将基于边界拟合坐标下的高精度有限差分法和高精度的泊松方程快速求解器有效地结合在一起,从而达到提高整体的计算精度、计算效率和稳定性的目的.通过比较不同孔隙... 详细信息

运用基于杂交网格的高精度数值方法研究了多孔介质中的盐指现象.该算法将基于边界拟合坐标下的高精度有限差分法和高精度的泊松方程快速求解器有效地结合在一起,从而达到提高整体的计算精度、计算效率和稳定性的目的.通过比较不同孔隙率的多孔介质对盐指对流的传热传质效应的影响,发现在标准孔隙率较低的多孔介质中,盐度扩散的速度明显比热扩散的速度快,盐指很快触及上下壁面,使得上下层的盐度梯度迅速减小,这是与非多孔介质具有明显差异之处.

关键词：多孔介质双扩散对流盐指

一维Burgers方程和KdV方程的广义有限谱方法

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应用数学和力学 2006年第12期27卷 1431-1438页

作者：詹杰民李毓湘王彪（推荐）中山大学应用力学与工程系广州510275 香港理工大学土木及结构工程系不详

给出了高精度的广义有限谱方法·为使方法在时间离散方面保持高精度,采用了Adams-Bashforth预报格式和Adams-Moulton校正格式,为了避免由Korteweg-deVries(KdV)方程的弥散项引起的数值振荡,给出了两种数值稳定器·以Legendre多项式、Che... 详细信息

给出了高精度的广义有限谱方法·为使方法在时间离散方面保持高精度,采用了Adams-Bashforth预报格式和Adams-Moulton校正格式,为了避免由Korteweg-deVries(KdV)方程的弥散项引起的数值振荡,给出了两种数值稳定器·以Legendre多项式、Chebyshev多项式和Hermite多项式为基函数作为例子,给出的方法与具有分析解的Burgers方程的非线性对流扩散问题和KdV方程的单孤独波和双孤独波传播问题进行了比较,结果非常吻合·

关键词：特殊函数广义有限谱方法非线性波

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受控振动柱体对波浪影响的数值模拟研究

水动力学研究与进展（A辑） 2012年第1期27卷 108-114页

作者：詹杰民韩毅李毓湘苏炜中山大学工学院应用力学与工程系广州510275 香港理工大学土木及结构工程系

以不可压缩黏性流体的Navier-Stokes方程为控制方程,采用RNG k-e湍流模型,利用VOF方法追踪运动的自由表面的方法,建立了三维数值波浪与振动柱体相互作用的模型。基于经典绕射理论验证了波浪绕固定柱体传播的数值模型的可靠性,再采用动... 详细信息

以不可压缩黏性流体的Navier-Stokes方程为控制方程,采用RNG k-e湍流模型,利用VOF方法追踪运动的自由表面的方法,建立了三维数值波浪与振动柱体相互作用的模型。基于经典绕射理论验证了波浪绕固定柱体传播的数值模型的可靠性,再采用动边界技术赋予柱体振动规律,研究受控振动柱体对波浪传播的影响,并通过控制柱体初始振动相位变化,系统地给出了在柱体振动的不同初始相位下柱体前后波浪变化的规律。

关键词：柱体振动相位变化规则波 VOF方法数值模拟

扩展型动网格的Chebyshev有限谱方法

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应用数学和力学 2011年第3期32卷 365-374页

作者：詹杰民李毓湘董志中山大学应用力学与工程系广州510275 香港理工大学土木及结构工程系

给出了基于非均匀网格的Chebyshev有限谱方法.提出了可生成两种类型扩展型动网格的均布格式.一种类型的网格被用来提高波面附近的分辨率,另一种类型则用在梯度较大的流动区域.由于采用Chebyshev多项式作为基函数,该方法具有高阶精度.从... 详细信息

给出了基于非均匀网格的Chebyshev有限谱方法.提出了可生成两种类型扩展型动网格的均布格式.一种类型的网格被用来提高波面附近的分辨率,另一种类型则用在梯度较大的流动区域.由于采用Chebyshev多项式作为基函数,该方法具有高阶精度.从上个时间步到当前时间步,两套不均匀网格间的物理量采用Chebyshev多项式插值.为使方法在时间离散方面保持高精度,采用了Adams-Bashforth预报格式和Adams-Moulton校正格式.为了避免由Korteweg-de Vries(KdV)方程的弥散项引起的数值振荡,给出了一种非均匀网格下的数值稳定器.给出的方法与具有分析解的Burgers方程的非线性对流扩散问题和KdV方程的单孤独波和双孤独波传播问题进行了比较,结果非常吻合.

关键词： Chebyshev多项式有限谱方法非线性波非均匀网格移动网格