کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8901750 | 1631947 | 2018 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Mapped CWENO scheme for hyperbolic conservation laws
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we analysis the Central Weighted Essentially Non-Oscillatory (CWENO) scheme for hyperbolic conservation laws (Qiu and Shu, 2002). The CWENO procedure contains three major steps: the reconstruction of uÌi+1â2n from uÌin, the reconstruction of uin from uÌin, and the approximation of â«tntn+1f(u(xi,t))dt using the Natural Continuous Extension (NCE) of Runge-Kutta method. We found that both reconstructions lost the designed optimal order of accuracy near critical points. This loss of accuracy can be recovered by using a proper mapping function. Furthermore, numerical tests demonstrate that, in practice, it is enough for the mapping technique to be implemented only in the first reconstruction. This new mapped central WENO method is not only more accurate than the one in Qiu and Shu (2002), but also more efficient.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 344, 15 December 2018, Pages 229-244
Journal: Journal of Computational and Applied Mathematics - Volume 344, 15 December 2018, Pages 229-244
نویسندگان
Cong Huang, Rong Wang,