کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5775636 | 1631741 | 2017 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
High order well-balanced central local discontinuous Galerkin-finite element methods for solving the Green-Naghdi model
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: High order well-balanced central local discontinuous Galerkin-finite element methods for solving the Green-Naghdi model High order well-balanced central local discontinuous Galerkin-finite element methods for solving the Green-Naghdi model](/preview/png/5775636.png)
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 315, 15 December 2017, Pages 113-130
Journal: Applied Mathematics and Computation - Volume 315, 15 December 2017, Pages 113-130
نویسندگان
Maojun Li, Yuting Jiang, Haiyun Dong,