A mathematical model for bank erosion in rotational failure mechanism

Abstract

The paper presents a numerical framework to investigate a mathematical model for rotational failure under hydrodynamic effects. The hydrodynamic model is based on the system of non-linear equations including Reynolds equations, sediment transport equation, and bed load continuity equation. A Factor of Safety (FS) is calculated in the riverbank failure model to determine a probability of riverbank failure and its stability as well as bank erosion degree under rotational failure mechanism. If the FS value is less than 1,bank failure will occur. All models are combined together and applied to simulate bank erosion at some locations at the Saigon River segments (Thanh Da peninsula). The obtained results are quite appropriate with the observation at this area.