0
Research Papers

Large-Eddy Simulations of Wall Bounded Turbulent Flows Using Unstructured Linear Reconstruction Techniques

[+] Author and Article Information
Dario Amirante

Thermo-Fluid Systems UTC,
University of Surrey,
Guildford, Surrey GU2 7XH, UK
e-mail: d.amirante@surrey.ac.uk

Nicholas J. Hills

Thermo-Fluid Systems UTC,
University of Surrey,
Guildford, Surrey GU2 7XH, UK
e-mail: n.hills@surrey.ac.uk

Contributed by the International Gas Turbine Institute (IGTI) of ASME for publication in the JOURNAL OF TURBOMACHINERY. Manuscript received August 5, 2014; final manuscript received August 6, 2014; published online November 18, 2014. Editor: Ronald Bunker.

J. Turbomach 137(5), 051006 (May 01, 2015) (11 pages) Paper No: TURBO-14-1196; doi: 10.1115/1.4028549 History: Received August 05, 2014; Revised August 06, 2014; Online November 18, 2014

Large-eddy simulations (LES) of wall bounded, low Mach number turbulent flows are conducted using an unstructured finite-volume solver of the compressible flow equations. The numerical method employs linear reconstructions of the primitive variables based on the least-squares approach of Barth. The standard Smagorinsky model is adopted as the subgrid term. The artificial viscosity inherent to the spatial discretization is maintained as low as possible reducing the dissipative contribution embedded in the approximate Riemann solver to the minimum necessary. Comparisons are also discussed with the results obtained using the implicit LES (ILES) procedure. Two canonical test-cases are described: a fully developed pipe flow at a bulk Reynolds number Reb = 44 × 103 based on the pipe diameter, and a confined rotor–stator flow at the rotational Reynolds number ReΩ = 4 × 105 based on the outer radius. In both cases, the mean flow and the turbulent statistics agree well with existing direct numerical simulations (DNS) or experimental data.

Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.

References

Cao, C., Chew, J. W., Millington, P. R., and Hogg, S. I., 2004, “Interaction of Rim Seal and Annulus Flows in Axial Flow Turbine,” ASME J. Eng. Gas Turbines Power, 126(4), pp. 786–793. [CrossRef]
Boudet, J., Autef, V. N. D., Chew, J. W., Hills, N. J., and Gentilhomme, O., 2005, “Numerical Simulation of Rim Seal Flows in Axial Turbines,” Aeronaut. J., 109, pp. 373–383.
O'Mahoney, T., Hills, N. J., and Chew, J. W., 2012, “Sensitivity of LES Results From Turbine Rim Seal to Changes in Grid Resolution and Sector Size,” Prog. Aerosp. Sci., 52, pp. 48–55. [CrossRef]
Barth, T., 1993, “Recent Developments in High Order K-Exact Reconstruction on Unstructured Meshes,” AIAA Paper No. 1993-0668. [CrossRef]
Moinier, P., 1999, “Algorithm Developments for an Unstructured Viscous Flow Solver,” Ph.D. thesis, Oxford University, Oxford, UK.
Gordnier, R. E., and Visbal, R. M., 2005, “Compact Difference Scheme Applied to Simulation of Low-Sweep Delta Wing Flow,” AIAA J., 43(8), pp. 1744–1752. [CrossRef]
Hahan, M., and Drikakis, D., 2009, “Implicit Large-Eddy Simulation of Swept Wing Flow Using High Resolution Methods,” AIAA J., 47(3), pp. 618–630. [CrossRef]
Raverdy, B., Mary, I., and Sagaut, P., 2001, “Large-Eddy Simulation of the Flow Around a Low Pressure Turbine Blade,” Direct and Large-Eddy Simulation (ERCOFTAC Series, Vol. IV), B. J.Geurts, R.Friedrich, and O.Métais, eds., Kluwer, Dordrecht, The Netherlands.
Tucker, P. G., 2004, “Novel MILES Computations for Jet Flows and Noise,” Int J. Heat Fluid Flow, 25(4), pp. 625–635. [CrossRef]
Boris, J. P., Grinstein, F. F., Oran, E. S., and Kolbe, R. L., 1992, “New Insights Into Large Eddy Simulation,” J. Fluid Dyn. Res., 10(4–6), pp. 199–228. [CrossRef]
Rider, W. J., and Drikakis, D., 2002, “High Resolution Methods for Computing Turbulent Flows,” Turbulent Flow Computation (Fluid Mechanics and Its Applications, Vol. 66), Drikakis, D. and Geurts, B. J., eds., Kluwer, Dordrecht, The Netherlands. [CrossRef]
Garnier, E., Mossi, M., Sagaut, P., Comte, P., and Deville, M., 1999, “On the Use of Shock-Capturing Schemes for Large-Eddy Simulation,” J. Comput. Phys., 153(2), pp. 273–311. [CrossRef]
Camarri, S., Salvietti, V., Koobus, B., and Dervieux, A., 2002, “Large-Eddy Simulation of a Bluff-Body Flow on Unstructured Grids,” Int. J. Numer. Methods Fluids, 40(11), pp. 1431–1460. [CrossRef]
Hills, N., 2007, “Achieving High Parallel Performance for an Unstructured Unsteady Turbomachinery CFD Code,” Aeronaut. J ., 111(1117), pp. 185–193.
Hirsch, C., 1990, Numerical Computation of Internal and External Flows, Wiley, New York.
Ollivier-Gooch, C., Nejat, A., and Michalak, C., 2009, “Obtaining and Verifying High-Order Unstructured Finite-Volume Solutions to the Euler Equations,” AIAA J., 47(9), pp. 2105–2120. [CrossRef]
Okong'o, N., Knight, D. D., and Zhou, G., 2000, “Large Eddy Simulations Using an Unstructured Grid Compressible Navier-Stokes Algorithm,” Int. J. Comput. Fluid Dyn., 13(4), pp. 303–326. [CrossRef]
Piomelli, U., 1999, “Large-Eddy Simulation: Achievements and Challenges,” Prog. Aerosp. Sci., 35(4), pp. 335–362. [CrossRef]
Mellen, C. P., Fröhlich, J., and Rodi, W., 2003, “Lessons From LESFOIL Project on Large-Eddy Simulation of Flow Around an Airfoil,” AIAA J., 41(4), pp. 573–581. [CrossRef]
Kok, J. C., 2009, “A High-Order Low Dispersion Symmetry-Preserving Finite-Volume Method for Compressible Flow on Curvilinear Grids,” J. Comput. Phys., 228(18), pp. 6811–6832. [CrossRef]
Wu, X., and Moin, P., 2008, “A Direct Numerical Simulation Study on the Mean Velocity Characteristics in Turbulent Pipe Flow,” J. Fluid Mech., 608, pp. 81–112. [CrossRef]
Xu, X., Lee, J. S., and Pletcher, R. H., 2005, “A Compressible Finite Volume Formulation for Large Eddy Simulation of Turbulent Pipe Flows at Low Mach Number in Cartesian Coordinates,” J. Comput. Phys., 203(1), pp. 22–48. [CrossRef]
Rudman, M., and Blackburn, H. M., 1999, “Large Eddy Simulation of Turbulent Pipe Flow,” Second International Conference on CFD in the Minerals and Process Industries, Melbourne, Australia, Dec. 6–8.
Schmidt, S., Mclver, D. M., Blackburn, H. M., Rudman, M., and Nathan, G. J., 2001, “Spectral Element Based Simulation of Turbulent Pipe Flow,” 14th Australasian Fluid Mechanics Conference, Adelaide, Australia, Dec. 10–14.
Viazzo, S., Poncet, S., Serre, E., Randriamampianina, A., and Bontoux, P., 2012, “High-Order Large Eddy Simulations of Confined Rotor–Stator Flows,” Flow Turbul. Combust., 88(1–2), pp. 63–75. [CrossRef]
Séverac, E., Poncet, S., Serre, E., and Chauve, M. P., 2007, “Large Eddy Simulation and Measurements of Turbulent Enclosed Rotor–Stator Flows,” Phys. Fluids, 19(8), p. 085113. [CrossRef]
Serre, E., Tuliska-Sznitko, E., and Bontoux, P., 2004, “Coupled Theoretical and Numerical Study of the Flow Transition Between a Rotating and a Stationary Disk,” Phys. Fluids, 16(3), pp. 688–706. [CrossRef]
Lygren, M., and Andersson, H., 2001, “Turbulent Flow Between a Rotating and a Stationary Disk,” J. Fluid Mech., 426, pp. 297–326. [CrossRef]
Itoh, M., Yamada, Y., Imao, S., and Gonda, M., 1992, “Experiments on Turbulent Flow Due to an Enclosed Rotating Disk,” Exp. Therm. Fluid Sci., 5(3), pp. 359–368. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Subelements Hi used in the definition of the control volume Vi. Vi=∪Hi, with the union extended to all Hi sharing the mesh node i. For clarity, only the front elements Hi are shown.

Grahic Jump Location
Fig 2

Pipe flow: instantaneous axial velocity contours

Grahic Jump Location
Fig. 3

Pipe flow: mean velocity radial profile

Grahic Jump Location
Fig. 4

Pipe flow: mean velocity Vz+ as a function of (1 − r)+

Grahic Jump Location
Fig. 5

Pipe flow: radial profile of the Reynolds shear stress

Grahic Jump Location
Fig. 6

Pipe flow: radial profiles of turbulence intensities. Solid line: DNS; dashed line: present LES; red curves: streamwise velocity component; black curves: tangential velocity component; blue curves: radial velocity component.

Grahic Jump Location
Fig. 7

Geometry of the rotor–stator cavity

Grahic Jump Location
Fig. 8

Rotor–stator flow: radial velocity contours on the periodic surface

Grahic Jump Location
Fig. 9

Rotor–stator flow: axial velocity contours on the periodic surface

Grahic Jump Location
Fig. 10

Rotor–stator flow: positive isosurfaces of the Q-criterion. The set of spirals develops on the rotor.

Grahic Jump Location
Fig. 11

Rotor–stator flow: mean profiles of tangential and radial velocity components at three radial locations. (a) Inner radius r*= 0.3, (b) midradius r*= 0.5, and (c) outer radius r*= 0.7.

Grahic Jump Location
Fig. 12

Rotor–stator flow: mean profiles of the radial velocity component in the boundary layers. Upper figures: stator and lower figures: rotor.

Grahic Jump Location
Fig. 13

Rotor–stator flow: mean profiles of the tangential velocity component in the boundary layers. Upper figures: stator and lower figures: rotor.

Grahic Jump Location
Fig. 14

Grid convergence: mean profiles of the radial velocity component in the boundary layers. Upper figures: stator and lower figures: rotor.

Grahic Jump Location
Fig. 15

Grid convergence: mean profiles of the tangential velocity component in the boundary layers. Upper figures: stator and lower figures: rotor.

Grahic Jump Location
Fig. 16

Rotor–stator flow: mean profiles of the Reynolds stress components Rθθ and Rrr at three radial locations. (a) Inner radius r* = 0.3, (b) midradius r* = 0.5, and (c) outer radius r* = 0.7.

Grahic Jump Location
Fig. 17

Rotor–stator flow: velocity profile in the stator boundary layer at r*= 0.5 and ratio between the SGS stress divergence and the numerical viscosity

Tables

Errata

Discussions

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