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A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations

A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations

This work is devoted to the derivation of a fully well-balanced numerical scheme for the well-known shallow-water model. During the last two decades, several well-balanced strategies have been introduced with special attention to the exact capture of the stationary states associated with the so-called lake at rest. By fully well-balanced, …