Multigrid Acceleration of Three-Dimensional, Turbulent. Variable-Density Flows

Muhigrid acceleration is applied to a finite-volume method for the calculation of three-dimensional, variable-density turbulent flow. Turbulence is modeled by the k-∈ model with the transport equations incorporated into the multigrid procedure. Density variations are fully accounted for. A full approximation multigrid method is developed using mass-conserving restriction and prolongation operators. A significant reduction in overall computing time is shown for both constant-density and variable-density flow over a three-dimensional backward-facing step. It is concluded that the method is suitable for application to complex three-dimensional flows of practical engineering interest.