Initialization of Previously Uninitialized Cells

Special initialization treatment is required for previously inactive cells that become active during hole cutting in a time step.

In overset mesh methodology:

  • The active cells contain variable values.
  • The acceptor cells contains variable values interpolated from donor cells out of another region.
  • The inactive cells contain no variable values.

If inactive cells become active without being first acceptor cells, an extrapolation scheme is required. The average of neighboring active cells define the new initial values. Due to proper sequencing of uninitialized cells, a wave front marching allows the initialization of large areas.

Initialization Treatment for Transient Problems

For transient problems, inactive cells become directly active without being first acceptor cells in the following situations:

  • For 1st-order Euler time integration, the maximum movement exceeds the smallest cell in the overlapping zone.
  • For 2nd-order implicit time integration, the maximum movement exceeds half the smallest cell size in the overlapping zone.

In these two situations, newly active cells are present in the mesh and must be initialized. The average value from all neighboring cells that were active in the previous time-step (1st-order) or previous two time-steps (2nd order) define the new initial value.

If inactive cells first become acceptor cells at the current time step, no special treatment is required.

Initialization Treatment for Steady Problems

Steady problems with stationary bodies usually do not require initialization treatment. However, if an overset region is transformed to run another steady simulation with a new orientation, the same extrapolation scheme is applied to the previously inactive cells.