Year: 2025
Author: Rui Fang, Wei-Wei Han, William J Layton
International Journal of Numerical Analysis and Modeling, Vol. 22 (2025), Iss. 2 : pp. 139–156
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ijnam2025-1007
International Journal of Numerical Analysis and Modeling, Vol. 22 (2025), Iss. 2 : pp. 139–156
Published online: 2025-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Turbulence eddy viscosity model and 1-equation model.
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