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adaptive mesh refinement 1convex limiting 1discontinuous galerkin 1hyperbolic conservation laws 1invariant domain preserving 1spectral element methods 1

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20242026
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physics.comp-ph2025

Application of Machine Learning and Convex Limiting to Subgrid Flux Modeling in the Shallow-Water Equations

Ilya Timofeyev, Alexey Schwarzmann, Dmitri Kuzmin

We propose a combination of machine learning and flux limiting for property-preserving subgrid scale modeling in the context of flux-limited finite volume methods for the one-dimen…