2010/01/01 by K. Andrea Scott, Fue‐Sang Lien, F. S. Lien
Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Channel (broadcasting) #Classical mechanics #Computer science #Flow (mathematics) #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Geometry #Helicity #Large eddy simulation #Mathematics #Mechanics #Nonlinear system #Open-channel flow #Optics #Physics #Plane (geometry) #Reynolds number #Scale (ratio) #Statistical physics #Streak #Turbulence #Vortex #Vorticity #Wind and Air Flow Studies #physics.flu-dyn
paper · pdf · doi:10.1080/14685248.2010.498424
21 pages text, 9 figures. Submitted to Journal of Turbulence
openalex publication_date 2010/01/01 · arxiv created 2010/06/06 · arxiv updated 2015/05/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper the Navier–Stokes-α (NS-α) model is considered within a large-eddy simulation framework. An investigation is carried out using fully developed turbulent channel flow at a fairly low Reynolds number. This is a flow where diffusion plays a prominent role, and presents a challenge to the nonlinear model investigated here. It is found that when α2 k is based on the mesh spacing, the NS-α model has a tendency to tilt spanwise vorticity in the streamwise direction, leading to high skin friction. This is due to interaction between the spanwise vorticity, the model, and the streamwise streaks. To overcome this problem α2 k is damped in the streak-affected region. The overall results demonstrate the potential of the model to reproduce some features of the DNS (helicity statistics and small-scale features), but more work is required before the full potential of the model can be achieved. In addition to the channel flow investigation, a derivation of the governing using Hamilton's principle is given. The derivation is intended to be clear and accessible to a wide audience, and contains a new interpretation of the model parameter.