Abstract
We present a number-density advection based method designed to calculate the condensation and evaporation of water droplets. An Eulerian-in-radius discretization scheme is adopted, making the present model suitable for use in the spectral bin model for cloud microphysics. The advection equation is solved using the constrained interpolated profile-conservative Semi-Lagrangian with rational function (CIP-CLSR) scheme. In order to evaluate the present method based on the CIP-CSLR scheme, we have performed test calculations for a sequence of condensation and evaporation using the present method and conventional methods, and then compared the results. The comparisons have revealed the advantages of the present method in terms of numerical accuracy, numerical stability, conservation and computational cost.
