Setting Up Multi-Stepping

This tutorial case is suitable for applying multi-stepping as time scale of the flow field is larger than the one that is required for the volume fraction transport. Therefore, running this simulation with implicit multi-stepping reduces significantly the runtime over using single-stepping.

For more information, see Multi-Stepping Guidelines.

An important quality of a system of immiscible phases, in this case air and water, is that the fluids always remain separated by a sharp interface. For this simulation, a small time-step is required to obtain a sharp interface. With single-stepping, you must use a time-step that is small enough to ensure that the CFL number remains low (typically 0.5) throughout the simulation, resulting in a long simulation run time. When implicit multi-stepping is used, the Segregated VOF solver performs multiple steps per time-step and the Courant number condition from Eqn. (2593) for flow time-step Δ t is modified to the following:

Figure 1. EQUATION_DISPLAY
C o ( τ ) = C o ( Δ t ) N i m p 0.5
(5252)

where τ = Δ t N i m p is the effective convective time-step for the N i m p fixed number of user-defined sub-steps used for solving the volume fraction transport equation.

If the flow features are resolved sufficiently well at a time-step size that is, for example 4 times greater than the global time-step Δ t , increase the global time-step by 4 and specify the same amount of implicit sub-steps N i m p = 4 . For example, for a sub-stepping CFL of C o ( τ ) = 0.5 the resulting CFL will be C o ( Δ t ) = 2 .

To set up multi-stepping:

  1. Select the Solvers > Segregated VOF node and set Solution Strategy to Implicit Multi-Step.
  2. Select the Solvers > Segregated VOF > Implicit Multi-Step node and set the following properties:
    Property Setting
    Number of Steps 4
  3. Save the simulation.