An efficient approach of aerosol thermodynamic equilibrium predictions by the HDMR method

In this paper, we develop a new and efficient approach for high dimensional atmospheric aerosol thermodynamic equilibrium predictions. The multi-phase and multi-component aerosol thermodynamic input–output systems are solved by the high dimensional model representation (HDMR) method combining with the moving multiple cut points. The developed approach improves the accuracy of numerical simulations for the general high dimensional input–output systems compared with the standard cut-HDMR method. It can simulate efficiently the atmospheric aerosol thermodynamic equilibrium problems in a large range of aerosol concentrations from 10−10 to 10−6 mol m−3. Numerical experiments show that the approach has great computational efficiency and the CPU-time of the approach is much less than that of ISORROPIA. The method does excellent performance in predicting high dimensional aerosol thermodynamic components as well as particulate matters (PMs).