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Paper · arXiv

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics

The differentiable physics paradigm may be leveraged as an a-posteriori approach for discovering turbulence closure models by embedding a neural network parameterization directly inside the solver and optimizing it given potentially sparse target data. This addresses a key limitation of a-priori learning where direct numerical simulation (DNS) data is used to approximate the subgrid stress with the assumption of a low-pass filter. Closures trained in this a-priori manner frequently lead to unstable deployments due to the mismatch between the assumed filter and the effect of numerical discretizations and coarse-graining. In comparison, while typically stable during deployment, a-posteriori...

AuthorsAshwin Suriyanarayanan, Dibyajyoti Chakraborty, Romit Maulik
Primary categoryphysics.flu-dyn
Published26 April 2026
Last updated at source10 June 2026
physics.flu-dyncs.LGmath.DSphysics.comp-phphysics.geo-ph
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