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arXiv · 2405.19554

Numerical analysis of a 1/2-equation model of turbulence

Wei-Wei Han·Rui Fang·William Layton
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Abstract

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.

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Wei-Wei Han, Rui Fang, William Layton. 2024-05-29. Numerical analysis of a 1/2-equation model of turbulence. https://arxiv.org/abs/2405.19554

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