An Eulerian vorticity method, based on a vorticity-stream function formulation, initially developed for the 2-D viscous unsteady flow past a circular cylinder, is extended in the case of 2-D flow past a rotating cylinder in a rotational frame of reference. The vorticity equation is shown to have the same form as in the case of an inertial frame of reference. Thus, the general structure of the numerical algorithm remains the same as in the inertial frame of reference. The non-inertial effects only enter in the calculation of the velocity field, and the vorticity induced velocity is modified to account for the non-inertial contributions due to the frame rotation. Results from the current method for the flow past a rotating cylinder are presented and shown to agree very well with those from other numerical methods and experimental benchmark tests.

一种基于涡流函数公式的欧拉涡度方法，最初是为二维粘性非定常流经过圆柱体而开发的，在二维流经过旋转圆柱体的情况下，它在旋转参考系中得到了扩展。所示的涡度方程具有与惯性参考系相同的形式。因此，数值算法的一般结构与惯性参考系相同。非惯性效应仅在速度场的计算中输入，并且修改涡度感应的速度以解决由于框架旋转而引起的非惯性影响。给出了当前通过旋转圆柱体流动的方法的结果，并显示出与其他数值方法和实验基准测试的结果非常吻合。