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most citedRelaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations

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math.AP2023

A multiscale model for weakly nonlinear shallow water waves over periodic bathymetry

David I. Ketcheson, Lajos Lóczi, Giovanni Russo

We study the behavior of shallow water waves over periodically-varying bathymetry, based on the first-order hyperbolic Saint-Venant equations. Although solutions of this system are…