Multigrid method and low-reynolds-number k - epsilon model for turbulent recirculating flows

The numerical procedure based on a finite volume method is developed for solving turbulent recirculating flows. The present method including low-Reynolds-number two-equation turbulence models is based on a non-orthogonal, and fully collocated grid which is applicable to incompressible flows. The turbulence model of Park and Sung [2] is modified to consider of nonequilibrium effects in complex shear flows. Based on the Cayley-Hamilton theorem, modifications are made on the damping function and the model constant C* epsilon1 of the dissipation rate equation. Special treatments are introduced for a full multigrid and full approximation storage (FMG/FAS), and a convergence acceleration in calculations with low-Reynolds-number k - epsilon models is obtained. The multigrid performance shows encouraging features in turbulent recirculating flows.