Validating the Results

From the scalar scene and the monitor plot, it is clear that vortex shedding is occurring. The Strouhal number (St) is commonly used when describing oscillating flows and is defined as:

St=fDU
(5245)

Where f is the frequency of vortex shedding, D is the cylinder diameter, and U is the free-stream velocity. In this case, the Strouhal number is given as 0.15 by Daily et al. [413]. The theoretical frequency of vortex shedding is therefore calculated as 2.25 Hz, which gives a period of 0.444 seconds.

The predicted period of shedding can be obtained by zooming into the last two troughs of the monitor plot.
  1. Click (Zoom Selected Plot) in the Plot toolbar.
  2. Drag a box around the last two troughs on the plot, as shown below.

    The resulting plot is shown below.

  3. Click the Scene/Plot button.
  4. Select the Coefficient of Lift Monitor Plot > Axes > Bottom Axis > Major Labels node, deactivate Auto Spacing and Auto Precision, and set Spacing to 0.1.
  5. Select Minor Ticks and set Count to 4.
  6. Click the simulation button.
    The enlarged scale on the X-axis makes it possible to measure the period.

The predicted period is shown to be approximately 0.44 seconds.

NoteA relatively large time step was used for this tutorial resulting in a limited number of data points in the plot. If you want more accurate results and a smoother plot, reduce the time step.

There is a difference of less than 1% between the predicted period and the reference period, which is good agreement. The corresponding predicted frequency of 2.27 Hz is also in good agreement with the theoretical frequency of vortex shedding of 2.25 Hz.