中心局部间断Galerkin-有限元法求解平坦底部的Green-Naghdi模型
首发时间:2016-02-18
摘要:本文构造了中心局部间断Galerkin法和连续有限元法的混合数值方法求解一维平坦底部上的Green-Naghdi模型。在数值方法中,为了便于计算,Green-Naghdi模型被改写成一个平衡律和一个椭圆方程的耦合系统。最后,通过计算一些数值算例验证了该方法的有效性。
关键词: 浅水波方程 Green-Naghdi模型 中心局部间断Galerkin法 有限元方法
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Central Local discontinuous Galerkin-finite element method for solving the flat bottom Green-Naghdi model
Abstract:In this paper, we propose a hybrid numerical method, combining the central local discontinuous Galerkin method with continuous finite element method, to solve the Green-Naghdi model over flat bottom topography. In our numerical approach, the Green-Naghdi model is first rewritten as balance laws coupled with an elliptic equation in terms of new variables adapted for numerical studies. Numerical tests are presented to illustrate the performance of the proposed schemes.
Keywords: Shallow water waves Green-Naghdi equations Central localdiscontinuous Galerkin methods Finite element methods
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