Hui-Li Chen

Rimnet: a deep finite volume method with hybrid neural–numerical Riemann flux approximation in the 1D shallow water equations

This study introduces a deep-learned finite volume method (DFVM) – a hybrid neural-numerical scheme that embeds neural flux modules within a Godunov-type finite volume solution framework (RimNet) for solving the 1D shallow water equations. Acting as a modular surrogate for a classical Riemann solver, RimNet estimates...