A hybrid bin scheme to solve the condensation/evaporation equation using a cubic distribution function T. Dinh and D. R. Durran Department of Atmospheric Sciences, University of Washington, Seattle, WA 98195, USA
Abstract. A computationally efficient method is proposed to replace the piecewise
linear number distribution in a hybrid bin scheme with a piecewise cubic
polynomial. When the linear distribution is replaced by a cubic, the errors
generated in solutions to the condensation/evaporation equation are reduced
by a factor of two to three. Alternatively, using the cubic distribution
function allows reducing the number of bins by 20 ± 5 % when solving
the condensation/evaporation problem without sacrificing accuracy.
Citation: Dinh, T. and Durran, D. R.: A hybrid bin scheme to solve the condensation/evaporation equation using a cubic distribution function, Atmos. Chem. Phys. Discuss., 11, 21631-21654, doi:10.5194/acpd-11-21631-2011, 2011.