Learning-based Robust Stabilization for Reduced-Order Models of 2D and 3D Boussinesq Equations

Benosman, MouhacineBorggaard, Jeffrey T.San, OmerKramer, Boris2017-05-162017-05-162017-09http://hdl.handle.net/10919/77671We present some results on the stabilization of reduced-order models (ROMs) for thermal fluids. The stabilization is achieved using robust Lyapunov control theory to design a new closure model that is robust to parametric uncertainties. Furthermore, the free parameters in the proposed ROM stabilization method are optimized using a data-driven multiparametric extremum seeking (MES) algorithm. The 2D and 3D Boussinesq equations provide challenging numerical test cases that are used to demonstrate the advantages of the proposed method.162 - 181 page(s)application/pdfenIn CopyrightLearning-based Robust Stabilization for Reduced-Order Models of 2D and 3D Boussinesq EquationsArticle - RefereedApplied Mathematical Modeling49Borggaard, JT [0000-0002-4023-7841]