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The shallow-water equations are widely used to model surface water bodies, such as lakes, rivers and the swash zone in coastal flows. Physically congruent solutions are characterized by nonnegative water depth, and many numerical methods may fail to preserve this property at the discrete level when moving wet-dry transitions are present in the physical domain. In this paper, we present a spectral-volume method for the approximate solution of the one-dimensional shallow-water equations, which isdoi:10.2166/hydro.2012.035 fatcat:fesvfyemobemznx24ybxy4zcwy