تقرير
On the efficient computation of smoothness indicators for a class of WENO reconstructions
| العنوان: | On the efficient computation of smoothness indicators for a class of WENO reconstructions |
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| المؤلفون: | Baeza, Antonio, Bürger, Raimund, Mulet, Pep, Zorío, David |
| المصدر: | J Sci Comput 80, 1240-1263 (2019) |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | Common smoothness indicators used in Weighted Essentially Non\--Os\-cil\-la\-to\-ry (WENO) reconstructions [Jiang, G.S., Shu, C.W.: Efficient implementation of {Weighted} {ENO} schemes, J.\ Comput.\ Phys. \textbf{126}, 202--228 (1996)] have quadratic cost with respect to the order. A set of novel smoothness indicators with linear cost of computation with respect to the order is presented. These smoothness indicators can be used in the context of schemes of the type introduced by Yamaleev and Carpenter [Yamaleev, N.K., Carpenter, M.H.: A systematic methodology to for constructing high-order energy stable WENO schemes. J. Comput. Phys. \textbf{228}(11), 4248-4272 (2009)]. The accuracy properties of the resulting non-linear weights are the same as those arising from using the traditional Jiang-Shu smoothness indicators in Yamaleev-Carpenter-type reconstructions. The increase of the efficiency and ease of implementation are shown. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s10915-019-00974-7 |
| URL الوصول: | http://arxiv.org/abs/2402.01583 |
| رقم الأكسشن: | edsarx.2402.01583 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s10915-019-00974-7 |
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