Solving parametric high-Reynolds-number wall-bounded turbulence around airfoils governed by Reynolds-averaged Navier–Stokes equations using time-stepping …

W Cao, X Shan, S Tang, W Ouyang, W Zhang - Physics of Fluids, 2025 - pubs.aip.org
Physics-informed neural networks (PINNs) have recently emerged as popular methods for
solving forward and inverse problems governed by partial differential equations. However …

Deep adaptive sampling for surrogate modeling without labeled data

X Wang, K Tang, J Zhai, X Wan, C Yang - arXiv preprint arXiv:2402.11283, 2024 - arxiv.org
Surrogate modeling is of great practical significance for parametric differential equation
systems. In contrast to classical numerical methods, using physics-informed deep learning …

An Adjoint-Oriented Meta-Auto-Decode Method for Solving Parameterized Optimal Control Problems

J Yong, X Luo, S Sun, C Ye - Available at SSRN 4951506 - papers.ssrn.com
Abstract A novel Adjoint-Oriented Meta-Auto-Decoder (AOMAD) method is proposed to
solve parameterized optimal control problems. This method adopts a pre-training-fine-tuning …