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The flow after the rupture of a dam on an inclined plane of arbitrary slope and the induced transport of noncohesive sediment are analysed using the shallowwater approximation. We observe the development of freesurface instabilities in the numerical results, hereafter called roll waves. Subsequently, the present monograph presents a novel Continuum Mechanics model which allows us to study the transport of sediment both in laminar and turbulent, nonhydrostatic freesurface flow, avoiding the intrinsic limitations of flow depth averaged models. Finally, this model is applied to solve the dambreak problem against an isolated obstacle and to predict the transport of sediment after the rupture of a horizontal dam. It is demonstrated that models based on depthaveraged variables (e.g. generalisations of the onedimensional SaintVenant equations to predict morphological changes) are superseded by more sophisticated and accurate procedures valid for nonhydrostatic shallow water flows over bed of arbitrary bottom slopes (e.g. the model described herein).
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