Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775636 | Applied Mathematics and Computation | 2017 | 18 Pages |
Abstract
In this paper, a hybrid numerical method, combining the central local discontinuous Galerkin method with continuous finite element method, is proposed to solve the fully nonlinear weakly dispersive Green-Naghdi model describing a large spectrum of shallow water waves. 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. Then we discretize the balance laws with well-balanced central local discontinuous Galerkin methods and the elliptic part with continuous finite element methods. Numerical tests are presented to illustrate the performance of the proposed schemes.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Maojun Li, Yuting Jiang, Haiyun Dong,