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Abstract
A novel numerical scheme is devised for the solution of evaporation of aerosol clouds. This scheme combines the salient features of the Galerkin Finite Element Method and the positive definite method of Smolarkiewicz. It can allow the use of large time steps, and the numerical solutions remain stable even after prolonged simulations. The numerical results compare favorably with the analytical solutions for different continuum evaporation rates. The effects of the volatility of the compound and the initial particle size distribution on the evaporation process are demonstrated. It is also shown that evaporation leads to a significant decrease in the total extinction coefficient of the aerosol cloud.