sigma坐标系下的三维水流数值模拟探讨  

Probe into 3D Numerical Flow Modeling with Sigma Coordinate System

作　　者：方神光 黄胜伟 崔丽琴 

机构地区：[1]珠江水利科学研究院,广东广州510611

出　　处：《人民珠江》2010年第2期3-5,共3页Pearl River

摘　　要：建立了基于sigma坐标系下的浅水三维水动力学数学模型,采用混合有限分析解法对其进行离散和求解。分别对近海区域的表面风引起的回流、密度驱动回流和振荡潮波3种典型流态进行了数值模拟试验,并将计算结果与理论分析解进行了对比验证。数值模拟试验准确地模拟了3种典型流态的流速和水位分布,证实了所建立的数学模型和求解方法的可行性和有效性,为研究更为复杂的近海水动力学流态提供了一个有效的方法和工具。The three dimensional shallow water hydrodynamics mathematical model was established with the sigma coordinate system. In the model the discrete analysis was conducted and solution was figured out. The mathematical simulation was carried out to analyze three kinds of typical fluid states including the backflow, the density actuation backflow and the vibration tidal wave caused by the superficial wind in the coasting area, and the verification was carried out between the computed result and the theoretical analysis solution. The mathematic model has been proved accurate in simulating the velocity and the water level distribution of 3 kind of typical fluid states. And the results have proved the feasibility and efficiency of the model and solution. This modeling has provided an efficient method for the study of the more complex offshore hydrodynamics fluid state.

关 键 词：风应力 密度梯度 振荡潮 三维数学模型 混合有限分析法 

分 类 号：TV149.2[水利工程—水力学及河流动力学]