A Characteristic Adaptive Wavelet Method for Aerosol Dynamic Equations

In this paper, a characteristic adaptive wavelet method is developed for solving aerosol dynamic equations. The proposed method combines the adaptive multi-resolution technique and the characteristic method to obtain the fully adaptive multi-resolution scheme, in which the solution is represented and computed in dynamically evolved wavelet bases along the characteristic curves. It overcomes numerical dispersions and can use large time steps. The efficiency and accuracy of the new algorithm is verified by numerical experiments. The developed characteristic adaptive wavelet algorithm in the paper has great applications in the modelling of aerosol dynamics. Keywords–Aerosol dynamic equation; the characteristic technique; adaptive multi-resolution method; wavelet.

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