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approximated Atmos autoconversion boundary condition cloud droplet water cloud model coefficient collection efficiency collection of ice computed condensation constant convective cell defined density derivatives diameter differencing downburst exceed fields formulation graupel grid point hail due hailstone horizontal hydrometeors ice crystal water initial integrating km domain large time step latent heat lateral boundary conditions liquid water mass melting moisture substance Monin-Obukhov length numerical numerical stability Orlanski parameterized perturbation PHCD1 PHR3 PHR4 PHR5 potential temperature pressure deviation primitive equation procedure Production of hail production rate prognostic equation PSR1 PSR2 PWET radar reflectivity factor radiation boundary condition radius rain raindrops rainwater reference environment Rutledge and Hobbs saturation mixing ratio saturation vapor pressure simulations small time step snow particles source terms spontaneous freezing storm TASS model terminal velocity three-dimensional top boundary turbulence updraft variables vertical viscosity water vapor wet growth wet hail wind shear