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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.19554 |
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| _version_ | 1866914816449314816 |
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| author | Han, Wei-Wei Fang, Rui Layton, William |
| author_facet | Han, Wei-Wei Fang, Rui Layton, William |
| contents | The recent 1/2-equation model of turbulence is a simplification of the standard Kolmogorov-Prandtl 1-equation URANS model. Surprisingly, initial numerical tests indicated that the 1/2-equation model produces comparable velocity statistics at reduced cost. It is also a test problem and first step for developing numerical analysis to address a full 1-equation model. This report begins the numerical analysis of the 1/2 equation model. Stability, convergence and error estimates are proven for a semi-discrete and fully discrete approximation. Finally, numerical tests are conducted to validate our convergence theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19554 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical analysis of a 1/2-equation model of turbulence Han, Wei-Wei Fang, Rui Layton, William Numerical Analysis The recent 1/2-equation model of turbulence is a simplification of the standard Kolmogorov-Prandtl 1-equation URANS model. Surprisingly, initial numerical tests indicated that the 1/2-equation model produces comparable velocity statistics at reduced cost. It is also a test problem and first step for developing numerical analysis to address a full 1-equation model. This report begins the numerical analysis of the 1/2 equation model. Stability, convergence and error estimates are proven for a semi-discrete and fully discrete approximation. Finally, numerical tests are conducted to validate our convergence theory. |
| title | Numerical analysis of a 1/2-equation model of turbulence |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2405.19554 |