Abstract:
Five recently developed one-equation turbulence models are assessed against experiments for several flows. These
models are the Menter model, modified Menter model, Wu–Nagano model, Fares–Schröder model, and Goldberg
model. All models except the latter, which was constructed using physical arguments in boundary layers, were
developed using Menter’s methodology of transforming two-equation turbulence models to one-equation models
using Bradshaw’s correlation. The destruction term of the modified Menter model is modified and tested for all
considered test cases. This modification renders the model Galilean-invariant and independent of the freestream
value of the turbulent intensity. The Spalart–Allmaras turbulence model is also investigated for comparison with the
five aforementioned models. Calculations are presented for internal and external flowfields, including zero-pressuregradient
flow over a flat plate, separation and reattachment flows in a backward-facing step, shock/boundary-layer
interaction, and adverse-pressure-gradient flows over airfoils at various angles of attack. Although the modified
Menter model demonstrates improved predictive capabilities in the majority of the considered cases, its contribution
is relatively moderate when compared with existing models.
Citation:
Elkhoury, M. (2011). Modified Menter Model in Comparison with Recently Developed Single-Equation Turbulence Closures. AIAA journal, 49(7), 1399-1408.