Data-Driven Physics-Informed Neural Networks: A Digital Twin Perspective
Sunwoong Yang Hojin Kim Yoonpyo Hong Kwanjung Yee Romit Maulik Namwoo Kang
This study explores the potential of physics-informed neural networks (PINNs)
for the realization of digital twins (DT) from various perspectives. First,
various adaptive sampling approaches for collocation points are investigated to
verify their effectiveness in the mesh-free framework of PINNs, which allows
automated construction of virtual representation without manual mesh
generation. Then, the overall performance of the data-driven PINNs (DD-PINNs)
framework is examined, which can utilize the acquired datasets in DT scenarios.
Its scalability to more general physics is validated within parametric
Navier-Stokes equations, where PINNs do not need to be retrained as the
Reynolds number varies. In addition, since datasets can be often collected from
different fidelity/sparsity in practice, multi-fidelity DD-PINNs are also
proposed and evaluated. They show remarkable prediction performance even in the
extrapolation tasks, with $42\sim62\%$ improvement over the single-fidelity
approach. Finally, the uncertainty quantification performance of multi-fidelity
DD-PINNs is investigated by the ensemble method to verify their potential in
DT, where an accurate measure of predictive uncertainty is critical. The
DD-PINN frameworks explored in this study are found to be more suitable for DT
scenarios than traditional PINNs from the above perspectives, bringing
engineers one step closer to seamless DT realization.