High Performance Computing of Turbulent Flows

  • Fue-Sang Lien
Conference paper
Part of the ERCOFTAC Series book series (ERCO, volume 3)


The quest for unlimited geometric flexibility as a prerequisite to the integration of CFD into the design cycle for real engineering components has led, over the past few years, to the development of flexible three-dimensional multi-block and unstructured-grid schemes supported by sophisticated gridgeneration techniques. Current capabilities are such that quantitatively credible representations of flows around and within complex geometries can be attained by numerical computations, provided effects arising from turbulent transport do not contribute materially to the flow properties that govern important operational characteristics of the associated engineering configuration. This usually means that the boundary layers developing on its surface are thin and attached, and losses arising from turbulence are low and confined to a minor proportion of the whole flow domain. In contrast, for configurations such as wing-fuselage junctions and multi-stage turbomachines operating close to their ‘off-design’ conditions, the representation of turbulence effects can be of crucial importance to the predictive realism.


Large Eddy Simulation Direct Numerical Simulation High Performance Computing Memory Bank Cache Coherency 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Craft, T.J., Launder, B.E. and Suga, K. (1995) A Non-Linear Eddy-Viscosity Model Including Sensitivity to Stress Anisotropy, Proc. 10th Symposium on Turbulent Shear Flows, The Pennsylvania State University, 3, 23.19.Google Scholar
  2. Durbin, P.A. (1995) Constitutive Equation for the k — ∈ — v’2 Model, Proc. 6th Int. Symp. on Computational Fluid Dynamics, Lake Tahoe, 1, 258.Google Scholar
  3. Gatski, T.B. and Speziale, C.G. (1993) On Explicit Algebraic Stress Models for Complex Turbulent Flows, J. Fluid Mech., 254, 59.MathSciNetzbMATHCrossRefGoogle Scholar
  4. Hafez, M., South, J. and Murman, E. (1979) Artificial Compressibility Method for Numerical Solutions of Transonic Full Potential Equation, AIAA J., 17, 838.zbMATHCrossRefGoogle Scholar
  5. Leonard, B.P. (1979) A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation, Comp. Meth. Appl. Mech. Eng., 19, 59.zbMATHCrossRefGoogle Scholar
  6. Lien, F.S. and Leschziner, M.A. (1993) A Pressure-Velocity Solution Strategy for Compressible Flow and Its Application to Shock/Boundary-Layer Interaction Using Second-Moment Turbulence Closure, ASMEJ. Fluid Engrg, 115, 717.CrossRefGoogle Scholar
  7. Lien, F.S. and Leschziner, M.A. (1994a) A General Non-Orthogonal Collocated FV Algorithm for Turbulent Flow at All Speeds Incorporating Second-Moment Closure, Part 1: Computational Implementation, Comp. Meth. Appl. Mech. Eng., 114, 123.MathSciNetCrossRefGoogle Scholar
  8. Lien, F.S. and Leschziner, M.A. (1994b) Upstream Monotonic Interpolation for Scalar Transport with Application in Complex Turbulent Flows, Int. J. Num. Meth. Fluids, 19, 527.zbMATHCrossRefGoogle Scholar
  9. Lien, F.S. and Leschziner, M.A. (1995a) Computational Modelling of a Transitional 3D Turbine-Cascade Flow Using a Modified Low-Re k — ∈ Model and a Multi-Block Scheme, ASME Paper 95-CTP-80.Google Scholar
  10. Lien, F.S. and Leschziner, M.A. (1995b) Second-Moment Closure for Three-Dimensional Turbulent Flow Around and Within Complex Geometries, to appear in Computers & Fluids.Google Scholar
  11. Lien, F.S. and Leschziner, M.A. (1995c) Computational Modelling of Multiple Vortical Separation From Streamlined Body at High Incidence, Proc. 10th Symp. on Turbulent Shear Flows, The Pennsylvania State University, 1, 4.19.Google Scholar
  12. Lien, F.S., Chen, W.L. and Leschziner, M.A. (1995a) Low-Reynolds-Number Eddy-Viscosity Modelling Based on Non-Linear Stress-Strain/Vorticity Relations, Proc. 3rd Int. Symp. on Engineering Turbulence Modelling and Measurements, May 27-29, 1996, Crete, Greece.Google Scholar
  13. Lien, F.S., Chen, W.L. and Leschziner, M.A. (1995b) A Multi-Block Implementation of a Non-Orthogonal, Collocated Finite-Volume Algorithm for Complex Turbulent Flows, to appear in Int. J. Num. Meth. Fluids.Google Scholar
  14. Lien, F.S., Chen, W.L. and Leschziner, M.A. (1995c) Computational Modelling of a High-Lift Aerofoils With Turbulence-Transport Models, Proc. CEAS European Forum High Lift Separation Control, Bath, 10.1.Google Scholar
  15. Meier, H.U., Kreplin, H.P., Landhauser, A. and Baumgarten, D. (1984) Mean Velocity Distribution in 3D Boundary Layers Developing on a 1:6 Prolate Spheroid With Artificial Transition, DFVLR Report IB 222-84 A 11.Google Scholar
  16. Ni, R.H.(1982) A Multiple Grid Scheme for Solving the Euler Equation, AIAA J., 20, 1565.zbMATHCrossRefGoogle Scholar
  17. Norris, L.H. and Reynolds, W.C. (1975) Turbulence Channel Flow With a Moving Wavy Boundary, Report FM-10, Dept. of Mech. Engrg., Stanford University.Google Scholar
  18. Patankar, S.V.(1980) Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, London.zbMATHGoogle Scholar
  19. Pope, S.B.(1975) A More General Effective-Viscosity Hypothesis, J. Fluid Mech., 72, 331.zbMATHCrossRefGoogle Scholar
  20. Rhie, C.M. and Chow, W.L. (1983) Numerical Study of the Turbulent Flow Past an Airfoil With Trailing Edge Separation, AIAA J., 21, 1525.zbMATHCrossRefGoogle Scholar
  21. Shih, T.H., Zhu, J. and Lumley, J.L. (1993) A Realisable Reynolds Stress Algebraic Equation Model, NASA TM-105993.Google Scholar
  22. Speziale, C.G.(1987) On Non-Linear k - I and k - ∈ Models of Turbulence, I. Fluid Mech., 178, 459.zbMATHCrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Fue-Sang Lien
    • 1
  1. 1.The University of Manchester Institute of Science and Technology UMISTManchesterUK

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