Shallow water moment model for sediment transportation in coastal area

Suspended and bedload sediment transport in shallow water environments is a critical factor influencing coastal morphology, ecosystem health, and infrastructure stability.  We present a new model for suspended and bedload sediment transport in shallow flows that takes into account vertically varying velocity profiles. We achieve this by using the recently developed shallow water moment model (SWME). The SWME employs a unified modeling framework that incorporates a polynomial expansion of the velocity profile in vertical direction, which represents a paradigm shift compared to the standard assumption of constant velocity profiles. The expansion coefficient equations constitute a hierarchical PDE system that improves accuracy when more equations are considered. The SWME model is then augmented by equations governing suspended sediment concentration and bedload transport. In this talk, we discuss the assumptions and general derivation of the 1D model, along with the theoretical analysis and the extension of this model to complex fluid phenomena.