复杂边界下同位网格和交错网格水流模型收敛性  

Convergence of flow models using staggered and collocated grids with complicated boundaries

作　　者：黄国鲜[1] 周建军[1] 陈界仁[2] 

机构地区：[1]清华大学水利水电工程系,北京100084 [2]河海大学水电学院,南京210098

出　　处：《清华大学学报（自然科学版）》2006年第6期785-788,共4页Journal of Tsinghua University(Science and Technology)

基　　金：国家自然科学基金资助项目(50221903);国家"九七三"基础研究基金项目(2003CB415203)

摘　　要：为提高计算精度,研究简单和复杂边界情况下交错网格和同位网格平面二维水流模型的收敛性。采用有限体积法离散正交曲线坐标下的控制方程,使用S IM PLEC方法求解水位。比较水流动能、最大水位修正和剩余质量源随迭代的变化过程。结果表明:1)在简单边界条件下,交错网格模型收敛性较好;2)在复杂边界条件下,两套网格模型收敛性基本相同。在恒定流计算过程中采用动能标准比最大水位修正和剩余质量标准更能有效地判别模型的稳定性。The convergence rates of two depth-averaged 2-D flow models using staggered and collocated grids were compared for both simple and complex geometries to improve the calculation accuracy. The finite volume method was used to diseretize the governing equations on the orthogonal curvilinear coordinate system with the SIMPLEC method to solve for the water level distribution. The convergence rates for the two models were analyzed based on the variation processes of the kinetic energy, the maximum water level changes, and the residual mass during the iterations. The results show that the staggered grid model performs better in terms of stability and convergence for simple boundaries with the two models almost the same for the complicated boundaries. The kinetic energy criterion more effectively represents the model stability in steady flow simulations than the maximum water level variations or the residual mass criterion.

关 键 词：水动力学 复杂边界 收敛 交错网格 同位网格 动能标准 

分 类 号：TV131.2[水利工程—水力学及河流动力学]