The conceptual foundation for the implementation of the Subgrid Flame Closure (SFC) model are presented and the results with the SFC and the Turbulent Flame speed Closure-large eddy simulation (TFC-LES) model for the turbulent premix dump combustor are compared and validated against experimental results. The subgrid turbulent velocity and viscosity and the filter scale are evaluated from the grid size. The Paul Scherrer Institut (PSI) burner test-rig is designed for perfectly homogeneous premixed mixture of methane and air. The flame is stabilized aerodynamically at the backward facing step from the inlet duct to the combustion chamber. The profiles of axial velocity show that the mean velocity are similar for the TFC-LES and the SFC models. The rms fluctuations are well predicted by the SFC model and this model becomes more accurate than the TFC-LES model for the mean velocity.