New Low-Dissipation Central-Upwind Schemes. Part II
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913348158750720 |
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| author | Chu, Shaoshuai Kurganov, Alexander Xin, Ruixiao |
| author_facet | Chu, Shaoshuai Kurganov, Alexander Xin, Ruixiao |
| contents | The low-dissipation central-upwind (LDCU) schemes have been recently introduced in [A. Kurganov and R. Xin, J. Sci. Comput., 96 (2023), Paper No. 56] as a modification of the central-upwind (CU) schemes from [{\sc A. Kurganov and C. T. Lin, Commun. Comput. Phys., 2 (2007), pp. 141-163}]. The LDCU schemes achieve much higher resolution of contact waves and many (two-dimensional) structures resulting from complicated wave interaction. However, the LDCU schemes sometimes produce more oscillatory results compared with the CU schemes, especially near the computational domain boundaries.
In this paper, we propose a very simple -- yet systematic -- modification of the LDCU schemes, which completely eliminates the aforementioned oscillations almost without affecting the quality of the computed solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07620 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New Low-Dissipation Central-Upwind Schemes. Part II Chu, Shaoshuai Kurganov, Alexander Xin, Ruixiao Numerical Analysis The low-dissipation central-upwind (LDCU) schemes have been recently introduced in [A. Kurganov and R. Xin, J. Sci. Comput., 96 (2023), Paper No. 56] as a modification of the central-upwind (CU) schemes from [{\sc A. Kurganov and C. T. Lin, Commun. Comput. Phys., 2 (2007), pp. 141-163}]. The LDCU schemes achieve much higher resolution of contact waves and many (two-dimensional) structures resulting from complicated wave interaction. However, the LDCU schemes sometimes produce more oscillatory results compared with the CU schemes, especially near the computational domain boundaries. In this paper, we propose a very simple -- yet systematic -- modification of the LDCU schemes, which completely eliminates the aforementioned oscillations almost without affecting the quality of the computed solution. |
| title | New Low-Dissipation Central-Upwind Schemes. Part II |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2405.07620 |