Since there is a lack of turbulent double diffusive. We validated the double-diffusive convection and turbulent convection in our model separately. First, we validated double diffusion model by simulating the laminar double-diffusive convection. Secondly, we validated the turbulent natural convection in a cavity. The double diffusive natural convection in a cavity was simulated and compared with a previous study [32]. The domain and boundary conditions are identical to that in Ref. [46] and