Partially averaged navier-stokes: A (k-ω)/(k-ε) bridging model

Abstract

A new Partially Averaged Navier-Stokes (PANS) bridging model is derived from existing (k − ω) and (k − ε) PANS formulations. The model behaves like the PANS (k − ω) model near rigid walls and like the PANS (k − ε) model away from walls. The new model is tested using well-known benchmark problems; a backward-facing step representing wall-bounded flows, and a circular cylinder representing free shear flows. Our results are compared to existing experimental data and previous simulation results using PANS (k − ω) and PANS (k − ε). The comparisons show our model to be superior at predicting velocity profiles in both flows. In addition, Reynolds stress predictions are also shown to improve.