Abstract
This contribution is concerned with the simulation of turbulent shear flows. First, direct numerical simulations (DNS) are introduced, focusing on the challenges associated with computing turbulent flows without any empirical modelling. The numerical method of one of our DNS codes is presented in detail and its performance on different HPC systems is discussed, in particular issues arising with multi-core architectures. An overview of DNS-based research conducted in the Aerodynamics and Flight Mechanics Research group at the University of Southampton is then given, in an attempt to highlight how large-scale DNS performed on HPC resources can be used as a ‘virtual wind tunnel’, i.e. to conduct numerical experiments that cannot be performed in traditional laboratories. A range of different physical problems is discussed, including the noise generation of jets and turbulent flows over airfoils, turbulent structure generation in mixing layers and supersonic wakes, the sensitivity of turbulent spots to Mach number and wall temperature, turbulent breakdown of vortex rings, the influence of background turbulence on far-field wakes, and the evolution of wingtip vortices.
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References
Kolmogorov, A.N.: The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Dokl. Akad. Nauk SSSR 40(4) (1941)
Kim, J., Moin, P., Moser, R.D.: Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133–166 (1987)
Freund, J.B.: Noise sources in a low-Reynolds-number turbulent jet at Mach 0.9. J. Fluid Mech. 438, 277–305 (2001)
Spalart, P.R., Allmaras, S.R.: A one-equation turbulence model for aerodynamic flows. AIAA Paper 92–0439, January 1992. 30th AIAA Aerospace Sciences Meeting, Reno, USA
Carpenter, M.H., Nordström, J., Gottlieb, D.: A stable and conservative interface treatment of arbitrary spatial accuracy. J. Comput. Phys. 148(2), 341–365 (1999)
Kennedy, C.A., Carpenter, M.H., Lewis, R.M.: Low-storage, explicit Runge–Kutta schemes for the compressible Navier–Stokes equations. Appl. Numer. Math. 35, 177–219 (2000)
Kennedy, C.A., Gruber, A.: Reduced aliasing formulations of the convective terms within the Navier–Stokes equations for a compressible fluid. J. Comput. Phys. 227, 1676–1700 (2008)
Sandberg, R.D., Sandham, N.D.: Nonreflecting zonal characteristic boundary condition for direct numerical simulation of aerodynamic sound. AIAA J. 44(2), 402–405 (2006)
Bourdon, C.J., Dutton, J.C.: Planar visualizations of large-scale turbulent structures in axisymmetric supersonic separated flows. Phys. Fluids 11, 201–213 (1998)
Sandberg, R.D., Hermann, F.F.: Numerical investigation of transitional supersonic axisymmetric wakes. J. Fluid Mech. 563, 1–41 (2006)
Sandberg, R.D., Sandham, N.D.: Direct numerical simulation of turbulent flow past a trailing edge and the associated noise generation. J. Fluid Mech. 596, 353–385 (2008)
Sandberg, R.D., Jones, L.E., Sandham, N.D.: Direct numerical simulations of noise generated by turbulent flow over airfoils. AIAA Paper 2008–2861, May 2008. 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference), Vancouver, Canada
Brown, G.L., Roshko, A.: On density effects and large structures in turbulent mixing layers. J. Fluid Mech. 64, 775–781 (1974)
Sandham, N.D., Sandberg, R.D.: Direct numerical simulation of the early development of a turbulent mixing layer downstream of a splitter plate. J. Turbul. 10(1), 1–17 (2009)
Suponitsky, V., Sandham, N.D.: Nonlinear mechanisms of sound radiation in a subsonic jet. AIAA Paper 2009–3317, May 2009. 15th AIAA/CEAS Aeroacoustics Conference (30th AIAA Aeroacoustics Conference), Miami, Florida
Redford, J.A., Sandham, N.D., Roberts, G.T.: Parametric study of compressible turbulent spots. In: ERCOFTAC Workshop: Direct and Large-Eddy Simulations 7 (DLES7), Trieste, Italy, September 8–10th 2008
Archer, P.J., Thomas, T.G., Coleman, G.N.: Direct numerical simulation of vortex ring evolution from the laminar to the early transition regime. J. Fluid Mech. 598, 201–226 (2008)
Coleman, G.N., Johnstone, R., Yorke, C.P., Castro, I.P.: DNS of aircraft wake vortices: the effect of stable stratification on the development of the Crow instability. In: ERCOFTAC Workshop: Direct and Large-Eddy Simulations 7 (DLES7), Trieste, Italy, September 8–10th 2008
Rind, E., Redford, J.A., Castro, I.P.: Far axisymmetric wakes in turbulent streams. In: Sixth International Symposium on Shear Flow and Transport Phenomena, TSFP6, Seoul, Korea, June 2009
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Sandberg, R.D. (2010). Direct Numerical Simulations of Turbulent Shear Flows. In: Resch, M., Roller, S., Benkert, K., Galle, M., Bez, W., Kobayashi, H. (eds) High Performance Computing on Vector Systems 2009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03913-3_12
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DOI: https://doi.org/10.1007/978-3-642-03913-3_12
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