Abstract
Variable-resolution simulations of a \(50^{\circ }\) swept, sharp leading edge, delta wing are performed at low Reynolds number using the Unsteady Reynolds Averaged Navier Stokes (URANS) and Partially Averaged Navier Stokes (PANS) turbulence models. The study focuses on the ability of the models to capture the vortex structure both forward and aft of vortex breakdown. A challenging aspect of the flow is that the pre-breakdown vortex is nearly laminar, and turbulent flow appears only after breakdown occurs near mid-chord. If the upstream resolution is adequate to resolve all laminar features, then both URANS and PANS reasonably capture the large scale features of the flow in the downstream region. It is found that inadequate resolution in the mostly laminar forward vortex leads to poor simulation of the aft vortex and aft flow features irrespective of the model fidelity.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Hummel, D.: On the vortex formation over a slender delta wing at large angles of incidence. Technical Report 15, Technische Universitat Braunschweig (1978)
Levin, D., Katz, J.: Dynamic load measurements with delta wings undergoing self-induced roll oscillations. J. Aircr. 21(1), 30–36 (1983)
Soemarwoto, B.I., Boelens, O.J.: Simulation of vortical flow over a slender delta wing experiencing vortex breakdown. Technical report NLR-TP-2003-396, National Aerospace Laboratory NLR (2003)
Luckring, J.M.: Reynolds number, compressibility, and leading-edge bluntness effects on delta-wing aerodynamics. In: 24th International Congress of the Aeronautical Sciences, Hampton, VA (2004)
Gordiner, R.E., Visbal, M.R.: Higher-order compact difference scheme applied to the simulation of a low sweep delta wing flow. In: 41st Aerospace Sciences Meeting and Exhibit, Reno, NV (2003)
Germano, M.: Turbulence: The Filtering Approach. Technical report, The Massachusetts Institute of Technology (1972)
Girimaji, S.S., Abdol-Hamid, K.S.: Partially-averaged Navier Stokes model for turbulence: implementation and validation. Number AIAA 2005–502. In: 43rd AIAA Aerospace Sciences Meeting and Exhibit (2005)
Girimaji, S.S.: Partially-averaged Navier-Stokes method for turbulence: a reynolds-averaged Navier-Stokes to direct numerical simulation bridging method. J. Appl. Mech. 73, 413–421 (2006)
Lakshmipathy, S.: PANS method for turbulence: simulations of high and low reynolds number flows past a circular cylinder. Master’s thesis, Texas A&M University (2004)
Murthi, A.: Effect of turbulent transport models and grid spacing on PANS calculations of a id-driven Cavity. Master’s thesis, Texas A&M University (2004)
Song, C., Park, S.: Numerical simulation of flow past a square cylinder using partially-averaged Navier-Stokes model. J. Wind Eng. Ind. Aerodyn. 97, 37–47 (2009)
Girimaji, S.S., Jeong, E., Srinivasan, R.: Partially averaged Navier-Stokes method for turbulence: fixed point analysis and comparison with unsteady partially averaged Navier-Stokes. J. Appl. Mech. 73, 422–429 (2006)
Lakshmipathy, S., Girimaji, S.S.: Partially averaged Navier-Stokes: PANS method for turbulence simulations: flow past a circular cylinder. J. Fluids Eng. 132, 121202 (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Cooper, J.M., Girimaji, S.S. (2015). Challenges in Variable Resolution Simulations of Separated Flow Over Delta Wings. In: Girimaji, S., Haase, W., Peng, SH., Schwamborn, D. (eds) Progress in Hybrid RANS-LES Modelling. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 130. Springer, Cham. https://doi.org/10.1007/978-3-319-15141-0_36
Download citation
DOI: https://doi.org/10.1007/978-3-319-15141-0_36
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-15140-3
Online ISBN: 978-3-319-15141-0
eBook Packages: EngineeringEngineering (R0)