Improved Form of the k-ε Model for Wall Turbulent Shear Flows

Abstract

An improved k-ε turbulence model for predicting wall turbulence is presented. The model was developed in conjunction with an accurate calculation of near-wall and low-Reynolds-number flows to meet the requirements of the Evaluation Committee report of the 1980–1981 Stanford Conference on Complex Turbulent Flows. The proposed model was tested by application to turbulent pipe and channel flows, a flat plate boundary layer, a relaminarizing flow, and a diffuser flow. In all cases, the predicted values of turbulent quantities agreed almost completely with measurements, which many previously proposed models failed to predict correctly, over a wide range of the Reynolds number.

Methodology for Turbulence Model Validation: Application to Hypersonic Flows

“…The rst turbulence model is the one-equation Spalart-Allmaras eddyviscosity model, 12;13 which has a robust numerical formulation and has shown promising results for a wide variety of ows. The second model is the standard k-" model, 14 which uses low-Reynoldsnumber damping functions 15 near solid walls. The third model is Menter's hybrid model, 16 which switches from a k-" formulation in the outer ow to a k-!…”

The effects of turbulence on cavitation inception

“…-C,,,,,,,,, : . In the measurements made by SIMPSON et al [39] both the turbulence and mean-shear interaction and turbulence--turbulence interaction in the pressure fluctuation source term (32) are important for detached flows.…”

“…NAGANO et al [32] determined the coefficient Cf for a fiat plate boundary relaminirizing f10w and diffuser f1ow.…”

Assessment of One- and Two-Equation Turbulence Models for Hypersonic Transitional Flows

“…The Nagano and Hishida model 19 was developed for incompressible ow and is included in the current formulation. The model uses the following damping function in the eddy viscosity relation given in Eq.…”

“…models. The k-" model employs the low-Reynolds-number modi cation of Nagano and Hishida 19 to allow integrationto solid walls. The rst k-!…”