Department of Mathematics and Statistics
|Thuesday, September 19, 2023
|12:00pm – 1:00pm
|Zengyan Zhang, Binghamton University
|Structure-preserving Reduced-order Models for Thermodynamically Consistent PDEs
As a powerful data-driven approach for dimensionality reduction, the proper orthogonal decomposition reduced-order model (POD-ROM) has been widely used as a computationally efficient surrogate model for complex large-scale systems. Given the computational complexity of the thermodynamically consistent models, the POR-ROM plays an important role in reducing the spatial-temporal complexity. However, the classical POD-ROM can destroy the thermodynamic structure in the reduced-order modeling approach for the systems. In this talk, we will introduce a numerical platform that can systematically derive ROMs for thermodynamically consistent PDEs while maintaining their inherent thermodynamic principles, and demonstrate its effectiveness in several numerical examples.