@Article{IJNAM-22-2,
author = {Rui, Fang and Wei-Wei, Han and William, Layton, J},
title = {On a 1/2-Equation Model of Turbulence},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2025},
volume = {22},
number = {2},
pages = {139--156},
abstract = {<p style="text-align: justify;">In 1-equation URANS models of turbulence, the eddy viscosity is given by $\nu_T =
0.55l(x, t)\sqrt{k(x, t)}.$ The length scale $l$ must be pre-specified and $k(x, t)$ is determined by solving
a nonlinear partial differential equation. We show that in interesting cases the spacial mean of $k(x, t)$ satisfies a simple ordinary differential equation. Using its solution in $\nu_T$ results in a 1/2-equation model. This model has attractive analytic properties. Further, in comparative tests in
2d and 3d the velocity statistics produced by the 1/2-equation model are comparable to those of
the full 1-equation model.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2025-1007},
url = {https://global-sci.com/article/91643/on-a-12-equation-model-of-turbulence}
}