河口准三维涌潮数学模型研究  

A quasi-3D numerical model for estuarine tidal bore

作　　者：李绍武[1] 卢丽锋[1] 时钟[2] 

机构地区：[1]天津大学港口海岸与近海工程系,天津300072 [2]上海交通大学港口与海岸工程系,上海200030

出　　处：《水动力学研究与进展（A辑）》2004年第4期407-415,共9页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金委杰出青年学者项目资助(40225014)

摘　　要：　本文依据近年来计算流体力学在计算格式方面的最新成果,提出了一种用于计算包括涌潮在内的近海三维流场的数学模型。模型中,控制方程采用σ坐标变换形式;底部摩阻采用对数流速率;运用k ε紊动模型计算垂向紊动粘滞系数,使模型较好地给出水平速度的垂向分布。数值方法上,采用有限体积法离散方程,并用Osher格式计算有限体积交界面通量,使得模型可高精度地捕捉间断;水平方向用无结构三角网格,较好地适应不规则形状边界;用该模型模拟了明渠均匀流和概化河口涌潮的水流运动规律。计算结果表明模型可用于河口区涌潮流场计算。In this paper a numerical tidal model is proposed based on the new achievements in numerical scheme of computational fluid dynamics. The model is capable of computing three-dimensional current field in the offshore region, including the situation of tidal bore. In the model, the governing equations are transformed by a σ coordinate system. The bottom shear velocity is calculated by the logarithmic law. The k-ε turbulent model is used to give reasonable vertical distribution of the horizontal velocities. In the numerical method, the Osher's scheme is used to calculate the horizontal flux through the interface of two adjacent cells, which enables the model to capture discontinuity with high resolution without introduction of any numerical eddy terns in the governing equations. Triangular grid system is adopted in the horizontal direction to make the model more adaptive to irregular boundary shape. The model is tested in uniform open channel flow and a tidal bore in an idealized estuary. The results indicate that the model is applicable to the simulation of tidal current flow in coastal region even a tidal bore is involved.

关 键 词：准三维潮流模型 有限体积法 Osher格式 涌潮 

分 类 号：TV148[水利工程—水力学及河流动力学]