Adaptive POD–DEIM basis construction and its application to a nonlinear population balance system. Issue 9 (22nd April 2017)

• Record Type: Journal Article
• Authors: Feng, Lihong; Mangold, Michael; Benner, Peter
• Is Part Of: AIChE journal. Volume 63:Issue 9(2017)
• Page Start: 3832
• Page End: 3844
• Publication Date: 2017-04-22
• Subjects: crystallization -- mathematical modeling -- numerical solutions -- simulation -- process -- process control; Chemical engineering -- Periodicals; Génie chimique -- Périodiques; 660.28
• DOI: 10.1002/aic.15749
• Languages: English
• ISSNs: 0001-1541

Abstract

Abstract : We propose an adaptive algorithm for constructing reduced‐order models (ROMs) of nonlinear systems based on proper orthogonal decomposition (POD) combined with the discrete empirical interpolation method (DEIM). Using an efficient output error estimation, the reduced basis and the DEIM interpolation basis are adaptively adjusted to derive a small, yet accurate ROM. The adaptive algorithm is further explored for a population balance system of a crystallization process. Simulation results show that much smaller and reliable ROMs can be adaptively obtained using the algorithm with ignorable extra computational load as compared with the standard POD–DEIM method. © 2017 American Institute of Chemical Engineers AIChE J, 63: 3832–3844, 2017