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Atmos. Chem. Phys., 12, 1003-1011, 2012
www.atmos-chem-phys.net/12/1003/2012/
doi:10.5194/acp-12-1003-2012
© Author(s) 2012. This work is distributed
under the Creative Commons Attribution 3.0 License.
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, Washington 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., 12, 1003-1011, doi:10.5194/acp-12-1003-2012, 2012.
 
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