水轮机活动导叶匀速开关过程的三维湍流数值模拟  

Numerical simulation of three-dimensional turbulent flow in transition process of hydraulic turbine passage with uniform rotation of guide vane

作　　者：王文全[1] 李伟忠[1] 闫妍[1] 

机构地区：[1]昆明理工大学工程力学系,云南昆明650500

出　　处：《排灌机械工程学报》2017年第2期133-137,共5页Journal of Drainage and Irrigation Machinery Engineering

基　　金：国家自然科学基金资助项目(11262008;51479085);霍英东青年基金资助项目(141120)

摘　　要：针对水力机械水力暂态过程中非定常流动的动边界问题,基于浸入边界法的建模思想,将刚体运动对流场的影响以附加体力的形式加入Navier-Stokes方程,建立了活动导叶连续运动和流体相互作用的数学模型.采用直接分步投影方法求解基于浸入边界法的耦合系统方程,其中固体边界离散点的作用力密度通过强制满足流固边界的无滑移条件导出,并通过δ光滑函数转换到流场的欧拉网格点上,实现对速度场的二次修正.通过数值模拟活动导叶连续运动下叶道内复杂湍流流动,获取活动导叶连续开、关过程中涡量等流动参量的时变特性和作用于转轮上的水力载荷特性.计算结果有助于水力机械暂态过程和机组稳定性控制策略的优化设计.The three-dimensional transition process in a simplified flow passage of model Francis tur- bine is researched based on an implicit direct forcing immersed boundary （IB） method combined with the three-step time-splitting method. The coupling mathematical model of the transition process inclu- ding turbulent flow and rotating rigid guide vanes are established using unsteady Navier- Stokes equa- tion with additional momentum source term. The moment source is pre-calculated, and determined im- plicitly in such a way that velocity at the immersed boundary interpolated from the corrected velocity field accurately satisfies the non-slip boundary condition. The temporal distribution of vorticity and tur- bulent quantity are gained at the whole transient process, also, the drag and lift coefficients as well as other force against attack changing are obtained through the information transferring between the solid grid and fluid background grid. At the same time, the coupling relations among the turbulent flow, the dynamical force response of blade and the rotating of guide vane are achieved, which is helpful to im-prove the design of hydraulic transition process.

关 键 词：混流式水轮机 混流式水轮机水力暂态 浸入边界法 动边界 数值模拟 

分 类 号：S277.9[农业科学—农业水土工程]