弯道水流水质的二步隐式算法数值模拟  

Study of two-step implicit algorithm for 2D flows in a bend channel

作　　者：刘玉玲[1] 

机构地区：[1]西安理工大学水利水电学院,陕西西安710048

出　　处：《武汉大学学报（工学版）》2011年第5期594-598,共5页Engineering Journal of Wuhan University

基　　金：陕西省重点实验室基金项目(编号:2010JS078);陕西省教育厅基金项目(编号:2010JK761)

摘　　要：采用优于SIMPLEC算法的2步隐式解法求解二维曲线坐标系下的浅水方程,建立了二维弯道水流数学模型.对流项采用二阶精度的Roe格式离散,物理变量采用适体坐标系下的同位网格布置,网格界面流速由动量插值法计算,紊动黏性系数由修正的kε-模型确定.基于此水流数学模型,建立了二维弯道水质模型.最后应用所建模型,对汉江仙桃弯曲河段内的水流水质进行了数值模拟,计算结果和实测数据符合较好,验证了所建模型的可靠性和实用性.A two-dimensional shallow model of turbulent flows has been developed in a curvilinear coordinate system.The convection terms are discretized by the Roe＇s scheme with second-order accuracy.Collocated meshes in curvilinear coordinates are applied into the model;and the velocities at the control mesh surfaces are obtained by momentum interpolation method.The governing equations are solved by the efficient fractional two-step implicit algorithm being superior to SIMPLEC algorithm.Based on the flow mathematical model,a two-dimensional water quality model in curvilinear coordinates has been established.The new model has been applied to simulate flows and water quality in a bend channel.The comparison between calculated results and experiment data are in agreement,so as to confirm the reliability and usability of the proposed mathematical model.

关 键 词：浅水模型 Roe格式 2步隐式算法 水流水质 

分 类 号：O35[理学—流体力学] TV131.4[理学—力学]