Numerical analysis of a 1/2-equation model of turbulence
Numerical Analysis
2024-05-31 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2405.19554,
title = {Numerical analysis of a 1/2-equation model of turbulence},
author = {Wei-Wei Han and Rui Fang and William Layton},
journal= {arXiv preprint arXiv:2405.19554},
year = {2024}
}