The Cambridge stratified swirl burner (SwB) has been experimentally investigated for premixed and stratified flame regimes with non-swirling and swirling injection streams. The choice of an appropriate numerical and modeling strategy to capture both stabilization mechanism and turbulent flame propagation is a challenging issue. The present paper presents a comparison between two different approaches. The first one uses a Flame Surface Density (FSD) approach associated to a structured low-Mach code. The second one uses the Filtered Tabulated Chemistry for Large Eddy Simulation (F-TACLES) model implemented in an unstructured low-Mach code. LES results of the non reactive, fully premixed and stratified non-swirling cases are presented and discussed. A good agreement on velocity, mixing and temperature statistics is found for both approaches.