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Turbulent Rayleigh-Benard convection with phase changes in an extended layerbetween two parallel impermeable planes is studied by means ofthree-dimensional direct numerical simulations for Rayleigh numbers between10^4 and 1.5\times 10^7 and for Prandtl number Pr=0.7. Two different sets ofboundary conditions of temperature and total water content are compared:imposed constant amplitudes which translate into Dirichlet boundary conditionsfor the scalar field fluctuations about the quiescent diffusive equilibrium andconstant imposed flux boundary conditions that result in Neumann boundaryconditions. Moist turbulent convection is in the conditionally unstable regimethroughout this study for which unsaturated air parcels are stably andsaturated air parcels unstably stratified. A direct comparison of both sets ofboundary conditions with the same parameters requires to start the turbulencesimulations out of differently saturated equilibrium states. Similar to dryRayleigh-Benard convection the differences in the turbulent velocityfluctuations, the cloud cover and the convective buoyancy flux decrease acrossthe layer with increasing Rayleigh number. At the highest Rayleigh numbers thesystem is found in a two-layer regime, a dry cloudless and stably stratifiedlayer with low turbulence level below a fully saturated and cloudy turbulentone which equals classical Rayleigh-Benard convection layer. Both are separatedby a strong inversion that gets increasingly narrower for growing Rayleighnumber.

Moist turbulent Rayleigh-Benard convection with Neumann and Dirichlet boundary conditions