基于Galerkin有限元方法的射流泵流场数值模拟

以原参数形式的Navier-Stokes方程为基础，采用Galerkin有限元迭代解法和时间推进解法，在Baldwin-Lomax二层代数湍流模型下，对射流泵内部轴对称流场进行数值模拟，求解过程中引入波阵解法，提高了计算效率；采用混合插值函数避免了压力振荡；采用简化迎风有限元技术，避免了解的非物理振荡和发散，以大峡大电站顶盖排水射流泵为实例进行计算分析，得到了全流场的速度、压力分布，与实验结果基本一致。

Galerkin FEM-Based Numerical Simulation of Flow Field in Jet Pump

Based on the incompressible primitive variable Navier Stokes equations, a numerical method was employed to simulate successfully the axis symmetric flow field of jet pump. The iterative and time matching algorithms of Galerkin finite element method and Baldwin Lomax two layer algebraic turbulent model were used. The computing efficiency is improved by introducing the wave matrix method to solutions. The press surging is avoided by utilizing the hybrid interpolation functions. The solutions are prevented from spurious oscillations by the Simple Upwind Petrov Galerkin(SUPG) method. Finally, this paper took the jet pump used in Daxia hydropower station as an example for computing and analyzing the internal flows. The velocity and pressure computed agree with the experimental results. The results are applicable to the theoretical studies of jet pump flow and the optimal design of jet pump constructive parameters.