کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6892183 | 1445350 | 2018 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The space-time CESE scheme for shallow water equations incorporating variable bottom topography and horizontal temperature gradients
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The space-time CESE scheme for shallow water equations incorporating variable bottom topography and horizontal temperature gradients The space-time CESE scheme for shallow water equations incorporating variable bottom topography and horizontal temperature gradients](/preview/png/6892183.png)
چکیده انگلیسی
The effects of bottom topography and horizontal temperature gradients on the shallow water flows are theoretically investigated. The considered systems of partial differential equations (PDEs) are non-strictly hyperbolic and non-conservative due to the presence of non-conservative differential terms on the right hand side. The solutions of these model equations are very challenging for a numerical scheme. Thus, our primary goal is to introduce an improved numerical scheme which can handle the non-conservative differential terms efficiently and accurately. In this paper, the space-time conservation element and solution element (CESE) method is extended to approximate these model equations. The proposed scheme has capability to overcome all difficulties posed by this nonlinear system of PDEs. The performance of the scheme is analyzed by considering several case studies of practical interest and the results of suggested scheme are compared with those of central NT scheme. The accuracy of the scheme is verified qualitatively and quantitatively.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 75, Issue 3, 1 February 2018, Pages 933-956
Journal: Computers & Mathematics with Applications - Volume 75, Issue 3, 1 February 2018, Pages 933-956
نویسندگان
M. Rehan Saleem, Saqib Zia, Waqas Ashraf, Ishtiaq Ali, Shamsul Qamar,