基于三角单元外心下的幂率格式在丁坝绕流中的应用

Application of power law scheme based on the triangular circumcenter to simulation of spur dike recirculating

针对在非结构网格水流数值计算,将各变量储存在三角单元外心进行离散,从而避免了由于非结构网格的非正交性而使用各种校正方法所带来的校正误差。采用Rhie-Chow的动量插值思想推导出基于SIMPLE意义下的水位校正方程,并详细给出了水位校正方程的离散形式。动量方程采用数值性能优良的幂率格式。计算结果成功地模拟出丁坝上、下游涡的特征量及流场情况,与水槽试验的资料吻合良好。

The solution variables are stored at the triangular circumcenters based on unstructured meshes, which can avoid discretization errors made by all kinds of correction methods used in non-orthogonal meshes. Rhie-Chow＇ s momentum interpolation method is adopted here to derive water level correction equation based on the SIMPLE method and a detail discretization equation is showed. The momentum equation is discretized by the power law scheme which has good numerical property. The flow phenomenon and the measured results agree with the numerical results very much, and the characteristics volumes of the eddies of the upper and down reaches around apur dike are simulated successfully.