Partially-Averaged Navier-Stokes Model for Turbulence: A Reynolds-Averaged Navier-Stokes to Direct Numerical Simulation Bridging Method

[+] Author and Article Information
Sharath S. Girimaji

Department of Aerospace Engineering, Texas A&M University, College Station, TX 77843

J. Appl. Mech 73(3), 413-421 (Nov 08, 2005) (9 pages) doi:10.1115/1.2151207 History: Received February 05, 2004; Revised November 08, 2005

A turbulence bridging method purported for any filter-width or scale resolution—fully averaged to completely resolved—is developed. The method is given the name partially averaged Navier-Stokes (PANS) method. In PANS, the model filter width (extent of partial averaging) is controlled through two parameters: the unresolved-to-total ratios of kinetic energy (fk) and dissipation (fε). The PANS closure model is derived formally from the Reynolds-averaged Navier-Stokes (RANS) model equations by addressing the following question: if RANS represents the closure for fully averaged statistics, what is the corresponding closure for partially averaged statistics? The PANS equations vary smoothly from RANS equations to Navier-Stokes (direct numerical simulation) equations, depending on the values of the filter-width control parameters. Preliminary results are very encouraging.

Copyright © 2006 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Figure 1

Grid-size sensitivity study in a 2D flow past a cylinder in 2D domain. (a) Centerline velocity profile from various PANS fk=0.6 computations on different grids. The time step in all computations is 0.008s. (b) Similar plot for fk=0.8 computations. The time step in all these computations is 0.025s.

Grahic Jump Location
Figure 2

Time-step sensitivity study. In all the computations fk=0.6 and grid size is 95×106

Grahic Jump Location
Figure 3

Profiles of normal Reynolds stresses along the centerline from various calculations: fk=1.0, -∙-∙-; fk=0.7 ⋯∙; fk=0.4, —; LES, 엯; Durao expt., ▵; Lyn expt., +

Grahic Jump Location
Figure 4

Profiles of Coefficient of pressure distribution along the cylinder surface for various fk values: ∗, Experimental data from Achenbach for flow Reynolds number of ReD=1×105; 엯, LES data from Wang at ReD106; ▵, DES data from Travin (14) at ReD1.4×105 (data from run LS 8 corresponding to laminar separation case. For laminar separation to occur the turbulent viscosity is set to zero at the inflow boundary); —, data from PANS with fk=0.5; ⋯∙, data from PANS with fk=0.7; -∙-∙-, data from PANS with fk=1.0.

Grahic Jump Location
Figure 5

Vorticity structure in 3D driven cavity flow computations with various fk values




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In