Evaluating boundary-layer based mass flux closure using cloud resolving model simulations of deep convection

We use high-resolution 3-dimensional cloud resolving model simulations of deep cumulus convection under a wide range of large-scale forcings to evaluate a mass flux closure based on boundary layer convective inhibition (CIN) that has previously been applied in parameterizations of shallow cumulus convection. With minor modifications, it is also found to perform well for deep oceanic and continental cumulus convection, allowing its use in deep or unified convection schemes. CIN closure maintains an important feedback that keeps the boundary layer top close to cloud base. This attribute, along with CIN closure's applicability to a range of cumulus convection regimes, is arguably more important than high numerical accuracy at each integration