| ANTI-DIFFUSIVE FINITE DIFFERENCE WENO METHODS FOR SHALLOW WATER WITH TRANSPORT OF POLLUTANT |
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| 作者姓名： | Zhengfu Xu Chi-Wang Shu |
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| 作者单位： | [1]Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA [2]Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA |
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| 基金项目： | Research supported by AR0 grant W911NF-04-1-0291 and NSF grant DMS-0510345. |
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| 摘 要： | In this paper we further explore and apply our recent anti-diffusive flux corrected highorder finite difference WENO schemes for conservation laws 18] to compute the Saint-Venant system of shallow water equations with pollutant propagation, which is describedby a transport equation. The motivation is that the high order anti-diffusive WENOscheme for conservation laws produces sharp resolution of contact discontinuities whilekeeping high order accuracy for the approximation in the smooth region of the solution.The application of the anti-diffusive high order WENO scheme to the Saint-Venant systemof shallow water equations with transport of pollutant achieves high resolution
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| 关 键 词： | 通量修正 接触不连续 高次序准确度 有限差分 |
| 收稿时间： | 2006-03-01 |
| 修稿时间： | 2006-03-01 |
ANTI-DIFFUSIVE FINITE DIFFERENCE WENO METHODS FOR SHALLOW WATER WITH TRANSPORT OF POLLUTANT |
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| Zhengfu Xu Chi-Wang Shu.ANTI-DIFFUSIVE FINITE DIFFERENCE WENO METHODS FOR SHALLOW WATER WITH TRANSPORT OF POLLUTANT[J].Journal of Computational Mathematics,2006,24(3):239-251. |
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| Authors: | Zhengfu;Xu;Chi-Wang;Shu |
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| Abstract: | In this paper we further explore and apply our recent anti-diffusive flux corrected high order finite difference WENO schemes for conservation laws 18] to compute the SaintVenant system of shallow water equations with pollutant propagation, which is described by a transport equation. The motivation is that the high order anti-diffusive WENO scheme for conservation laws produces sharp resolution of contact discontinuities while keeping high order accuracy for the approximation in the smooth region of the solution. The application of the anti-diffusive high order WENO scheme to the Saint-Venant system of shallow water equations with transport of pollutant achieves high resolution |
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| Keywords: | Anti-diffusive flux correction Sharpening contact discontinuity High order accuracy Finite difference WENO scheme Saint-Venant system of shallow water Transport of pollutant |
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