Modeling Coastal Run-Up using a Well-Balanced Shallow Flow Solver

Run-up, characterized by moving shoreline over irregular sloping bed, is an important coastal process that should be accurately simulated in order to provide guidelines for coastal designs. This paper presents and tests a finite volume Godunov-type shallow flow model for simulating coastal run-ups. Simple approaches are implemented to construct a well-balanced scheme that is suitable for applications involving wetting and drying. The model is validated against several benchmark tests. Results are compared with analytical solutions and experimental measurements and close agreements are achieved. This indicates the potential of the model in practical simulations of wave run-up and other coastal hydrodynamics.