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Multi-fluid models have recently been proposed as an approach to improvingthe representation of convection in weather and climate models. This is anattractive framework as it is fundamentally dynamical, removing some of theassumptions of mass-flux convection schemes which are invalid at current modelresolutions. However, it is still not understood how best to close themulti-fluid equations for atmospheric convection. In this paper we develop asimple two-fluid, single-column model with one rising and one falling fluid. Nofurther modelling of sub-filter variability is included. We then apply thismodel to Rayleigh-B\'{e}nard convection, showing that, with minimal closures,the correct scaling of the heat flux (Nu) is predicted over six orders ofmagnitude of buoyancy forcing (Ra). This suggests that even a very simpletwo-fluid model can accurately capture the dominant coherent overturningstructures of convection.

Two-fluid single-column modelling of Rayleigh-B\'{e}nard convection as a step towards multi-fluid modelling of atmospheric convection