کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8901703 | 1631946 | 2019 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A modified central discontinuous Galerkin method with positivity-preserving and well-balanced properties for the one-dimensional nonlinear shallow water equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A modified central discontinuous Galerkin method with positivity-preserving and well-balanced properties for the one-dimensional nonlinear shallow water equations A modified central discontinuous Galerkin method with positivity-preserving and well-balanced properties for the one-dimensional nonlinear shallow water equations](/preview/png/8901703.png)
چکیده انگلیسی
In this paper, we present a modified central discontinuous Galerkin method for solving the nonlinear shallow water equations over variable bottom topography in one-dimensional space. The proposed method balances exactly the flux gradient and source term in the still-water stationary case by adding a correction term to the base scheme and ensures non-negativity of the water depth by using special approximations to the bottom together with a positivity-preserving limiter, meanwhile reduces the computational cost considerably compared with the standard central discontinuous Galerkin method by using L2 projection to obtain an approximation solution. Numerical tests are presented to illustrate the accuracy and validity of the proposed schemes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 345, 1 January 2019, Pages 374-387
Journal: Journal of Computational and Applied Mathematics - Volume 345, 1 January 2019, Pages 374-387
نویسندگان
Aimin Chen, Maojun Li,