Abstract
Linear stability analysis of the formation of fluvial sand bars with bank erosion is performed with the use of St.Venant shallow water equations and continuity equation, and a process-based bank erosion model. The process-based bank erosion model is derived from the integration of sediment continuity equation in the bank region. The time variation of bank locaion is proportional to the lateral sediment transport rate at the junction between bed and bank regions, which is evaluated by the lateral sediment transport rate in the bank region. and the time variation of the bed elevation at the junction. It is found from the analysis that quasi-meandering with the wavelength slightly shorter than bars takes place with the formation of bars in the range of moderately large aspect ratios.
