A well-defined moving steady states capturing Godunov-type scheme for Shallow-water model
A well-defined moving steady states capturing Godunov-type scheme for Shallow-water model
The present work concerns the derivation of a well-balanced scheme to approximate the weak solutions of the shallow-water model. Here, the numerical scheme exactly captures all the smooth steady solutions with nonvanishing velocities. To address such an issue, a Godunov-type scheme is adopted. A particular attention is paid on the …