Premium
The solution of continuous kinetic lumping models using the adaptive characterization method
Author(s) -
Rocha Daniele C.,
Lage Paulo L. C.
Publication year - 2020
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.16758
Subject(s) - discretization , reduction (mathematics) , kinetic energy , quadrature (astronomy) , mathematics , computer science , characterization (materials science) , mathematical optimization , adaptive stepsize , numerical analysis , materials science , mathematical analysis , physics , classical mechanics , geometry , optics , nanotechnology
The continuous kinetic lumping models are traditionally solved by methods that discretize the mixture into a large number of pseudo‐components. This works proposes the usage of the adaptive characterization of continuous mixtures, grounded on the direct quadrature method of generalized moments, in the solution of kinetic lumping models, which allows a large reduction in the number of pseudo‐components. Catalytic hydrogenation and hydrocracking problems were used to evaluate this methodology, comparing its results with analytical solutions or results from a classical numerical method. The results showed that the proposed methodology could accurately solve those continuous kinetic models using a small number of adaptive pseudo‐components, leading to a large reduction in the computational cost of simulation when compared to the classical numerical method.