Investigation of an Anisotropic k-? Model

by Yun Zhang, Chengdu Univ of Science and, Technology, Sichuan, China,
Yongquan Yang, Chengdu Univ of Science and, Technology, Sichuan, China,
Chigong Wu, Chengdu Univ of Science and, Technology, Sichuan, China,



Document Type: Proceeding Paper

Part of: Hydraulic Engineering

Abstract:

In this paper the eddy viscosity hypothesis is abandoned and explicit expressions of Reynolds stress are deduced directly from the transport equations. Anisotropic k and ? equations are introduced. Results based on the new expressions are in much better accord with experimental data than those based upon the eddy viscosity hypothesis. Computation of flow over a backward facing step show that this model can accurately simulate the velocity of turbulent flow and the secondary vortex, as well as the shape and the structure of the circular area. It also accurately models the turbulent kinetic energy and Reynolds stresses.

Subject Headings: Turbulent flow | Model accuracy | Viscosity | Reynolds stress | Numerical models | Eddy (fluid dynamics) | Boundary layers

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