ReducedOrderModelle
Reduced Order Models (ROMs) are simplified representations of complex systems that capture the essential dynamics while significantly reducing computational cost. They are derived from high-fidelity models, often based on partial differential equations (PDEs) or large-scale simulations, by projecting the system's behavior onto a smaller, more manageable subspace. This reduction is typically achieved using techniques like Proper Orthogonal Decomposition (POD) or Balanced Truncation. The goal is to create a model that is computationally inexpensive to simulate, allowing for rapid analysis, design exploration, and real-time control applications.
The process of creating a ROM generally involves two stages: offline and online. The offline stage is