旋转坐标系下旋转圆柱绕流的数值模拟

NUMERICAL SIMULATION OF ROTATING CYLINDERS STREAMING IN ROTATING COORDINATES

在处理某些特定的问题如旋转对称的非定常问题时,把控制方程由笛卡尔坐标系转换到旋转坐标系会使问题简单化,即处理如旋转对称的流场模拟时,采用旋转坐标系可以把非定常的问题看作是定常问题来处理,大大的节约了计算时间。本文通过旋转坐标系下雷诺平均N-S方程编写jameson中心格式,采用S-A湍流模型,对旋转圆柱在一定来流速度情况下进行计算,为了观测不同时刻流动情况,采用双时间步长。通过与实验结果对比,表明旋转坐标系下的控制方程确实能够计算此类特定的流场。

It will be simple when governing the equations from the Cartesian coordinate system into the rotating coordinate system in dealing with certain issues,such as rotationally symmetric unsteady problems.That treatment such as rotational symmetry of the flow field simulation,using rotating coordinate system will allow the flow field to be viewed as a steady-state problem which will save computing time greatly.In the rotating coordinate system Reynolds averaged N-S equations,the convective fluxes are computed using jameson scheme,for turbulent flows the Spalart-Allmaras are available to simulate the rotating cylinder in the case of certain stream velocity.In order to observe the flow at different times,the dual time-stepping methodology was taken.By comparison with the experimental results it is indicate that the rotating coordinate system of equations is indeed able to calculate the flow field.