Constrained reduced-order models based on proper orthogonal decomposition

• DOI: 10.1016/j.cma.2017.03.038
• Publication Date: 2017-04-09T14:45:42Z
• Authors: Sohail R. Reddy; Brian A. Freno; Paul G.A. Cizmas; Seckin Gokaltun; Dwayne McDaniel; George S. Dulikra...
• Keywords: Karush–Kuhn–Tucker conditions; Proper orthogonal decomposition

Abstract A novel approach is presented to constrain reduced-order models (ROM) based on proper orthogonal decomposition (POD). The Karush–Kuhn–Tucker (KKT) conditions were applied to the traditional reduced-order model to constrain the solution to user-defined bounds. The constrained reduced-order model (C-ROM) was applied and validated against the analytical solution to the first-order wave equation. C-ROM was also applied to the analysis of fluidized beds. It was shown that the ROM and C-ROM produced accurate results and that C-ROM was less sensitive to error propagation through time than the ROM.