On a 1/2-Equation Model of Turbulence
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 νT=0.55l(x,t)√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 νT 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
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.
Author Details
Rui Fang Email
Wei-Wei Han Email
William J Layton Email