Activities
Student Organizations
Math Club
BingAWM
Actuarial Association
Data Science Seminar
Hosted by the Department of Mathematics and Statistics
Abstract
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.