Fluvial dikes are important engineering works for protecting river valleys from flooding, so the stability of them is of great importance. In this paper, we apply a two-point two-phase formulation of the Material Point Method (MPM) to investigate the dike stability problem under the action of overtopping flows. Such a method has been incorporated in the Anura3D software (www.anura3d.com). In the model, the behaviours of soil and water are analysed in a single framework, so the interactions between the two phases are fully dynamic. The computational results agree well with the laboratory experiments. Parametric studies have been carried out to examine the effectiveness of various dike stability measures. The two-point MPM shows encouraging capabilities for studying a broad range of phenomena involving strong soil/water interactions.We are grateful to the financial support by the Royal Academy of Engineering UK-China Urban Flooding Research Impact Programme (UUFRIP\100051) and the Royal Society-Newton Mobility Grant (EC\NSFC\191369)
