In this work we provide an overview of recent developments at the NOAA Center for Tsunami Research (NCTR) for sediment modeling in the framework of tsunamis. We describe a new numerical approach of the well-known shallow-water equations with an additional equation for the transport of the moving bed. In this approach, the eigenvalue structure of the model is leveraged into the path-conservative numerical discretization, resulting in a fast, weakly-coupled and accurate numerical approach. We present some successful comparisons with survey data. Additionally, we explore other potential capabilities of the model, like tide prediction or historical tsunami recreation.