Publications

Constrained reduced-order models based on proper orthogonal decomposition

Reddy, Sohail R.; Freno, Brian A.; Cizmas, Paul G.A.; Gokaltun, Seckin; McDaniel, Dwayne; Dulikravich, George S.

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.