WENO Scheme Based on Lax-Wendroff Time Discretization to Solving Hyperbolic Conservation Laws
The research of high accuracy and high resolution schemes have been a hot topic in computational mathematics． According to low resolution and large amount of calculation of the original WENO-JS scheme，we propose a simple new limiter fifth order upwind WENO scheme to reconstruct the numerical flux...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2017-12-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1469 |
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| author | LI Xing-hua SUN Yang AI Xiao-hui |
| author_facet | LI Xing-hua SUN Yang AI Xiao-hui |
| author_sort | LI Xing-hua |
| collection | DOAJ |
| description | The research of high accuracy and high resolution schemes have been a hot topic in computational
mathematics． According to low resolution and large amount of calculation of the original WENO-JS scheme，we
propose a simple new limiter fifth order upwind WENO scheme to reconstruct the numerical flux of the simple
structure to improve the computational efficiency． Compared with other efficient high accuracy schemes such as
ENO and WENO，it is shown that the computational cost of this scheme is less than that of WENO-JS in the same
accuracy． By use of MATLAB software，we compared and analyzed computational efficiencies and computational
accuracies of Lax-Wendroff WENO-JS scheme，Lax-Wendroff simple limiter WENO scheme，Ｒunge-Kutta simple
limiter WENO scheme and Ｒunge-Kutta WENO-JS scheme． The numerical results show that the new Lax-Wendroff
simple limiter WENO scheme can improve the computing speed and reduce the computing time by 20% while
maintaining the original WENO resolution |
| format | Article |
| id | doaj-art-566e7b1781aa4d5e98ff2e3d7874a0b4 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2017-12-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-566e7b1781aa4d5e98ff2e3d7874a0b42025-08-26T06:15:52ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832017-12-01220613413910.15938/j.jhust.2017.06.026WENO Scheme Based on Lax-Wendroff Time Discretization to Solving Hyperbolic Conservation LawsLI Xing-hua0SUN Yang1AI Xiao-hui2School of Science，Harbin University of Science and Technology，Harbin 150080，ChinaSchool of Science，Harbin University of Science and Technology，Harbin 150080，ChinaSchool of Science，Northeast Forestry University，Harbin 150040，ChinaThe research of high accuracy and high resolution schemes have been a hot topic in computational mathematics． According to low resolution and large amount of calculation of the original WENO-JS scheme，we propose a simple new limiter fifth order upwind WENO scheme to reconstruct the numerical flux of the simple structure to improve the computational efficiency． Compared with other efficient high accuracy schemes such as ENO and WENO，it is shown that the computational cost of this scheme is less than that of WENO-JS in the same accuracy． By use of MATLAB software，we compared and analyzed computational efficiencies and computational accuracies of Lax-Wendroff WENO-JS scheme，Lax-Wendroff simple limiter WENO scheme，Ｒunge-Kutta simple limiter WENO scheme and Ｒunge-Kutta WENO-JS scheme． The numerical results show that the new Lax-Wendroff simple limiter WENO scheme can improve the computing speed and reduce the computing time by 20% while maintaining the original WENO resolutionhttps://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1469high accuracywenoｒunge-kuttalax-wendrofftime discretization |
| spellingShingle | LI Xing-hua SUN Yang AI Xiao-hui WENO Scheme Based on Lax-Wendroff Time Discretization to Solving Hyperbolic Conservation Laws Journal of Harbin University of Science and Technology high accuracy weno ｒunge-kutta lax-wendroff time discretization |
| title | WENO Scheme Based on Lax-Wendroff Time Discretization to Solving Hyperbolic Conservation Laws |
| title_full | WENO Scheme Based on Lax-Wendroff Time Discretization to Solving Hyperbolic Conservation Laws |
| title_fullStr | WENO Scheme Based on Lax-Wendroff Time Discretization to Solving Hyperbolic Conservation Laws |
| title_full_unstemmed | WENO Scheme Based on Lax-Wendroff Time Discretization to Solving Hyperbolic Conservation Laws |
| title_short | WENO Scheme Based on Lax-Wendroff Time Discretization to Solving Hyperbolic Conservation Laws |
| title_sort | weno scheme based on lax wendroff time discretization to solving hyperbolic conservation laws |
| topic | high accuracy weno ｒunge-kutta lax-wendroff time discretization |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1469 |
| work_keys_str_mv | AT lixinghua wenoschemebasedonlaxwendrofftimediscretizationtosolvinghyperbolicconservationlaws AT sunyang wenoschemebasedonlaxwendrofftimediscretizationtosolvinghyperbolicconservationlaws AT aixiaohui wenoschemebasedonlaxwendrofftimediscretizationtosolvinghyperbolicconservationlaws |