Numerical analysis of a 1/2-equation model of turbulence
<|reference_start|>Numerical analysis of a 1/2-equation model of turbulence: 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.<|reference_end|>
@article{han2024numerical,
    title={Numerical analysis of a 1/2-equation model of turbulence},
    author={Wei-Wei Han, Rui Fang, William Layton},
    journal={arXiv preprint arXiv:2405.19554},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.19554},
    primaryClass={math.NA cs.NA}
}