Setting the Solver Properties and Stopping Criteria

Choosing the correct time-step is an important step in setting up an aeroacoustic simulation.

You typically evaluate the following criteria, and choose the smallest value:

  • Convective Courant Number: Implicit solvers are usually stable at maximum values in the range 10-100 locally, but the overall mean value should be around 1. For this case, a time-step of 2.5E-5 s gives a Convective Courant Number whose mean value is approximately 1.
  • Maximum resolvable frequency: For example, to obtain 10 points in a wave at 3000 Hz, (around the point at which human hearing is most sensitive), the time-step size should be 10 x 3000 Hz = 30000 Hz, or 3.33E-5 s.
  • Local Strouhal shedding: At the Reynolds number observed in this tutorial, 63800, a cylinder sheds vortices at a Strouhal number of approximately 0.22. This number corresponds to a shedding frequency of 500 Hz. Capturing this shedding frequency requires a time-step size of 2.0E-4 s.

The smallest time-step size is the one required by the Convective Courant Number criterion, 2.5E-5 s.

To set the time-step size:

  1. Select the Solvers > Implicit Unsteady node and set Time-Step to 2.5E-5 s.
  2. Set Temporal-Discretization to 2nd-order.

Now set suitable under-relaxation factors:

  1. Select the Solvers > Segregated Flow > Velocity node and set Under-Relaxation Factor to 0.9.
  2. Select the Segregated Flow > Pressure node and set Under-Relaxation Factor to 0.7.

The case is run until 0.0533s and with 5 iterations per time-step:

  1. Edit the Stopping Criteria node and set the following properties:
    Node Property Setting
    Maximum Inner Iterations Maximum Inner Iterations 5
    Maximum Physical Time Maximum Physical Time 0.0533 s
    Maximum Steps Enabled Deactivated
As the simulation is unsteady, you update the trigger on the monitors for the lift and drag coefficients:
  1. Within the Monitors node, multi-select the Drag Coefficient Monitor and Lift Coefficient Monitor nodes, and set Trigger to Time Step.
  2. Save the simulation.