Burgers equation 1coarse simulation 1dam break problem 1entropy variables 1physics-informed neural networks 1reduced-order modeling 1shallow water equations 1shock-aware collocation 1structure-preserving neural networks 1subgrid-scale modeling 1tensor methods 1
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physics.flu-dyn2026
Reduced-Order Modeling of Parameterized Visco-Plastic Shallow Flows
Md Rezwan Bin Mizan, Ilya Timofeyev, Maxim Olshanskii
We propose a non-intrusive reduced-order modeling framework for parametrized visco-plastic free-surface flows governed by a shallow-water formulation of Herschel--Bulkley fluids. T…
physics.flu-dyn2026
Parametrization of subgrid scales in long-term simulations of the shallow-water equations using machine learning and convex limiting
Md Amran Hossan Mojamder, Zhihang Xu, Min Wang +1
We present a method for parametrizing sub-grid processes in the Shallow Water equations. We define coarse variables and local spatial averages and use a feed-forward neural network…