A hybrid bin scheme to solve the condensation/evaporation equation using a cubic distribution function Department of Atmospheric Sciences, University of Washington, Seattle, Washington 98195, USA
20 Jan 2012
Received: 20 Jul 2011 – Published in Atmos. Chem. Phys. Discuss.: 01 Aug 2011Abstract. 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.
Revised: 01 Nov 2011 – Accepted: 08 Jan 2012 – Published: 20 Jan 2012
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., 12, 1003-1011, doi:10.5194/acp-12-1003-2012, 2012.