河渠恒定非均匀流准二维模型  

A quasi-2D model of steady non-uniform flows in open channels

作　　者：杨开林[1] 

机构地区：[1]中国水利水电科学研究院流域水循环模拟与调控国家重点实验室,北京100038

出　　处：《水利学报》2015年第1期1-8,共8页Journal of Hydraulic Engineering

基　　金：水利部公益性行业专项资助(1261530110131);国家自然基金资助项目(51179209);公益性行业科研专项(1261530110098;1261530110135)

摘　　要：以Reynolds平均的Navier-Stokes紊流方程为基础,提出了河渠恒定非均匀流的水深平均流速横向分布的准二维模型,该模型包括了河渠流动的一些关键三维紊流因素。研究了用数值有限差分将它转换为一组三对角线性方程并用追赶法求解,然后,研究了用该模型推算水面线的迭代计算,最后以实测数据检验了所提模型的准确性,结果表明计算流量与实测流量的偏差相对值小于4%,而计算水深与实测水深偏差相对值小于1%。Based on Reynolds averaged Navier-Stokes equations, a quasi-2D model of the steady non-uni- form flows is presented. The model includes some of the key 3D flow structures that occur in rivers and compound channels and can be used to estimate the lateral distributions of depth-averaged velocity. With a finite differential method, the quasi-2D model is converted to a group of linear equations with a tridiagonal coefficient matrix, and then a double sweeping method is used to solve it. On that basis, it is studied how to apply the quasi-2D model to determining the water surface profile of a river or channel. At last, taking the measured data of the flows and water depths as examples, it is verified that the model is of high accu- racy in computation of flow and water depth. The results show that the relative deviations between the mea- sured flows and the computed ones are less than 4 %, and that those between the measured water depths and the computed ones are less than 1%.

关 键 词：河渠 非均匀流 水深平均流速 准二维 追赶法 

分 类 号：TV133[水利工程—水力学及河流动力学]