The paper presents structure‑preserving reduced‑order models for two high‑speed aerodynamic test cases: a clamped thin panel at Mach 1.92 (RC‑19) and a cantilever plate at Mach 5.85 (HyMAX). Each model combines a Ritz‑Galerkin reference formulation with a learned component that retains the exact potential, fits remaining forces, and trains only a dissipation term that cannot add energy, ensuring an energy balance for any weights. The learned models achieve extremely low residuals (≤2.2 × 10⁻¹⁵) and accurately reproduce measured pressure ratios, dominant frequencies, and displacement responses, even under chaotic conditions, without relying on time‑resolved data.
By Miguel A. Aguilo
arXiv:2611. 07666v1 Announce Type: cross Abstract: Rayleigh-Taylor instability (RTI) is of fundamental importance in fields such as inertial confinement fusion and supernova explosions, and its evolution is commonly described by potential--flow theory and buoyancy--drag models.
By Chuanxing Wang, Hui Luo, Guohuai Zhu, Hongbo Cai, Shaoping Zhu, Mingxing Luo
arXiv:2610.27321v1 Announce Type: cross
Abstract: Gradient descent with momentum can be viewed as a particle moving with friction in the loss landscape. In deep learning the learning rate is usually...
By Alexander Itin
arXiv:2606. 01470v1 Announce Type: cross Abstract: Whether physics foundation models can be usefully deployed on laboratory experiments remains an open question for scientific machine learning (ML).
By Payel Mukhopadhyay, Stefan S. Nixon, Romain Watteaux, Michael McCabe, Alberto Bietti, Kyunghyun Cho, Cristiana Diaconu, Irina Espejo Morales, David Fouhey, Siavash Golkar, Tom Hehir, Shirley Ho, Jake Kovalic, Geraud Krawezik, Francois Lanusse, Tanya Marwah, Rudy Morel, Mariel Pettee, Helen Qu, Jeff Shen, Hadi Sotoudeh, Stuart B. Dalziel, Miles Cranmer
arXiv:2606. 09929v1 Announce Type: cross Abstract: Physical reservoir computing harnesses nonlinear mechanical dynamics but, by convention, freezes the substrate and trains only a linear readout, presuming the substrate is not usefully trainable.
By Caleb Munigety
arXiv:2607. 23667v1 Announce Type: cross Abstract: A flow surrogate validated on a simple regime is often taken as evidence that the approach will carry to a richer one.
By Georg Winkler, Martin Stoll