A Third-Order Semi-Discrete Central Scheme for Conservation Laws and Convection-Diffusion Equations
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2000
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| _version_ | 1866914099159367680 |
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| author | Kurganov, Alexander Levy, Doron |
| author_facet | Kurganov, Alexander Levy, Doron |
| contents | We present a new third-order, semi-discrete, central method for approximating solutions to multi-dimensional systems of hyperbolic conservation laws, convection-diffusion equations, and related problems. Our method is a high-order extension of the recently proposed second-order, semi-discrete method in [16].
The method is derived independently of the specific piecewise polynomial reconstruction which is based on the previously computed cell-averages. We demonstrate our results, by focusing on the new third-order CWENO reconstruction presented in [21]. The numerical results we present, show the desired accuracy, high resolution and robustness of our method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0002133 |
| institution | arXiv |
| publishDate | 2000 |
| record_format | arxiv |
| spellingShingle | A Third-Order Semi-Discrete Central Scheme for Conservation Laws and Convection-Diffusion Equations Kurganov, Alexander Levy, Doron Numerical Analysis Analysis of PDEs 65M10 (Primary) 65M05 (Secondary) We present a new third-order, semi-discrete, central method for approximating solutions to multi-dimensional systems of hyperbolic conservation laws, convection-diffusion equations, and related problems. Our method is a high-order extension of the recently proposed second-order, semi-discrete method in [16]. The method is derived independently of the specific piecewise polynomial reconstruction which is based on the previously computed cell-averages. We demonstrate our results, by focusing on the new third-order CWENO reconstruction presented in [21]. The numerical results we present, show the desired accuracy, high resolution and robustness of our method. |
| title | A Third-Order Semi-Discrete Central Scheme for Conservation Laws and Convection-Diffusion Equations |
| topic | Numerical Analysis Analysis of PDEs 65M10 (Primary) 65M05 (Secondary) |
| url | https://arxiv.org/abs/math/0002133 |