Most of the recent developments concerning efficient numerical schemes to solve the
shallow-water equations in view of real world flood modelling purposes concern the two-
dimensional form of the equations or the one-dimensional form written for rectangular, unit-
width channels. Extension of these efficient schemes to the one-dimensional cross-sectional
averaged shallow-water equations is not straightforward, especially when complex natural
topographies are considered. This paper presents different formulations of numerical …

Most of the recent developments concerning efficient numerical schemes to solve the
shallow-water equations in view of real world flood modelling purposes concern the two-
dimensional form of the equations or the one-dimensional form written for rectangular, unit-
width channels. Extension of these efficient schemes to the onedimensional cross-sectional
averaged shallow-water equations is not straightforward, especially when complex natural
topographies are considered. This paper presents different formulations of numerical …