A Well-Balanced Fifth-Order A-WENO Scheme Based on Flux Globalization
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909442315911168 |
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| author | Chu, Shaoshuai Kurganov, Alexander Xin, Ruixiao |
| author_facet | Chu, Shaoshuai Kurganov, Alexander Xin, Ruixiao |
| contents | We construct a new fifth-order flux globalization based well-balanced (WB) alternative weighted essentially non-oscillatory (A-WENO) scheme for general nonconservative systems. The proposed scheme is a higher-order extension of the WB path-conservative central-upwind (PCCU) scheme recently proposed in [A. Kurganov, Y. Liu and R. Xin, J. Comput. Phys., 474 (2023), Paper No. 111773]. We apply the new scheme to the nozzle flow system and the two-layer shallow water equations. We conduct a series of numerical experiments, which clearly demonstrate the advantages of using the fifth-order extension of the flux globalization based WB PCCU scheme. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_19901 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Well-Balanced Fifth-Order A-WENO Scheme Based on Flux Globalization Chu, Shaoshuai Kurganov, Alexander Xin, Ruixiao Numerical Analysis We construct a new fifth-order flux globalization based well-balanced (WB) alternative weighted essentially non-oscillatory (A-WENO) scheme for general nonconservative systems. The proposed scheme is a higher-order extension of the WB path-conservative central-upwind (PCCU) scheme recently proposed in [A. Kurganov, Y. Liu and R. Xin, J. Comput. Phys., 474 (2023), Paper No. 111773]. We apply the new scheme to the nozzle flow system and the two-layer shallow water equations. We conduct a series of numerical experiments, which clearly demonstrate the advantages of using the fifth-order extension of the flux globalization based WB PCCU scheme. |
| title | A Well-Balanced Fifth-Order A-WENO Scheme Based on Flux Globalization |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2412.19901 |