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cs.LG2026
Fourier Neural Operators for Rayleigh-Bénard Convection
Chelsea Maria John, Thibaut Lunet, Sebastian Götschel +3
We propose an improved Fourier Neural Operator (FNO) for modeling two-dimensional Rayleigh-Bénard convection by predicting time increments instead of full solutions, achieving hig…
cs.LG2026
Approximation of the Basset force in the Maxey-Riley-Gatignol equations via universal differential equations
Finn Sommer, Vamika Rathi, Sebastian Goetschel +1
The Maxey-Riley-Gatignol equations (MaRGE) model the motion of spherical inertial particles in a fluid. They contain the Basset force, an integral term which models history effects…
cs.LG2024
Dynamic Deep Learning Based Super-Resolution For The Shallow Water Equations
Maximilian Witte, Fabricio Rodrigues Lapolli, Philip Freese +4
Using the nonlinear shallow water equations as benchmark, we demonstrate that a simulation with the ICON-O ocean model with a 20km resolution that is frequently corrected by a U-ne…