hierarchical deep learning
Hierarchical deep learning-based adaptive time-stepping scheme for multiscale simulations
Hamid, Asif, Rafiq, Danish, Nahvi, Shahkar Ahmad, Bazaz, Mohammad Abid
Multiscale systems are ubiquitous in science and engineering. Modeling and controlling such systems is essential due to their prevalence in natural and engineered systems, and understanding their behavior requires a multidisciplinary approach that integrates models, and experimental techniques at multiple scales [1]. These complex systems generally have dynamics operating at different spatiotemporal scales, such as a fine or microscale, and a coarse or macroscale. Microscale modeling usually involves analyzing the system behavior at fine resolutions, thus entailing a substantial computational cost while capturing the system's long-term behavior. On the other hand, the macroscopic models are efficient, but their accuracy hinges on the ability to capture the system dynamics effectively. Another challenge in studying multiscale systems is that the governing equations may be explicitly known at the microscopic/individual level, but the closures required to translate them to high-level macroscopic descriptions remain elusive.