一维浅水波方程Green-Naghdi模型的数值模拟

Green-Naghdi models are a class of fully nonlinear and weakly dispersive shallow water equations which have been widely applied to simulate the propagation of weak nonliner dispersion wave. It is thus of great importance to design accurate and robust numerical methods for solving it. In this paper, we propose a discontinuous Galerkin finite element method to solve the 1D Green-Naghdi model on flat bottom.