Large Eddy Simulations (LES) of a partially premixed, swirl-stabilised flame are performedusing a transported Probability Density Function (PDF) approach in combination with the Eu-lerian stochastic field method to account for turbulence-chemistry interaction. The correspond-ing subgrid scale (sgs) stresses and scalar fluxes are modelled using a dynamic version of theSmagorinsky model and a gradient diffusion approximation, respectively. A 15-step reducedmethane (CH4) mechanism containing 19 species is employed for the description of all chem-ical reactions. The test case involves a widely studied gas turbine model combustor with com-plex geometry. Simulations are carried out for two combustor operating conditions utilisingboth one and four stochastic fields. The overall velocity, temperature and major species massfraction results as well as the instantaneous thermochemical properties are shown to be in goodagreement with experimental measurement data demonstrating the capabilities of the employedLES method