Abstract
ABSTRACT Reisinezhad, A.; Mazaheri, S.; Hejazi, K., and Jabbari, M.H., 2016. A novel finite element scheme of Nwogu extended Boussinesq equations to predict free surface elevation over different bathymetry of beaches. In this study, free surface elevation is predicted by using a new finite element scheme. This numerical method solves a Nwogu Boussinesq equation system to simulate wave propagation in the complicated bathymetry of coastal regions. The numerical approach is based on a Galerkin finite element approach for spatial discretization and Adam-Bashforth-Moulton predictor-corrector strategy for time integration. Governing equations are rewritten in lower-order forms by introducing a novel form of auxiliary variable in order to make the application of the linear finite element method possible. Then, the stability of the suggested finite element schemes is studied using a theoretical analysis. For the validation of the present numerical method, five test cases are considered to show the capability of t...
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