Compound flooding is defined as a flood event caused by the combined effects of flood drivers. Numerical modeling of compound flood events allows for the design of risk-mitigation strategies but requires simulations of several flooding scenarios. Current modeling techniques cannot simulate multiple processes simultaneously and lose accuracy when modeling compound flood events. This project aims to develop a model for simulating overland/riverine flows using the diffusive and kinematic wave equations, referred to as DWE and KWE, respectively. The overland model uses a two-dimensional KWE approach, while the river model uses a one-dimensional DWE approach to account for backwater effects. A finite element method is used for spatial discretization and a fully implicit Crank-Nicolson scheme is used for time discretization. The developed model accounts for infiltration via the Green-Ampt equation and can handle spatially and temporally varying rainfall. Furthermore, a wetting and drying algorithm is implemented for improved efficiency in the model. For verification, the model will be used to simulate various analytical test cases, idealized test cases, and real-life data. Improved river modelling software is of interest to communities/groups studying water policy and science because improved models tend to be more accurate and therefore allow for more confidence in scientific conclusions and changes in policy.
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