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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| Main Authors: | , , |
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| Format: | Article |
| Language: | zho |
| Published: |
Harbin University of Science and Technology Publications
2017-12-01
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| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1469 |
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| Summary: | 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 |
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| ISSN: | 1007-2683 |