Implicit Large Eddy Simulation of transition to turbulence at low Reynolds numbers using a Discontinuous Galerkin method

International Journal for Numerical Methods in Engineering

Volumn 87, Issue 1-5, 2011, Pages 232-261

  Uranga, A ^a   Persson, P O ^b   Drela, M ^a   Peraire, J ^a  

^a Massachusetts Institute of Technology   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Discontinuous galerkin method; Implicit large eddy simulation; Laminar separation bubble; Low reynolds number; Transition to turbulence

Indexed keywords

DISCONTINUOUS GALERKIN METHODS; IMPLICIT LARGE EDDY SIMULATIONS; LAMINAR SEPARATION BUBBLE; LOW REYNOLDS NUMBER; TRANSITION TO TURBULENCE;

COMPUTATIONAL FLUID DYNAMICS; LAMINAR FLOW; LARGE EDDY SIMULATION; REYNOLDS NUMBER; TURBULENCE; TWO DIMENSIONAL;

GALERKIN METHODS;

EID: 79958719742     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.3036     Document Type: Article

References (38)

1. Uranga A, Persson P-O, Drela M, Peraire J. Implicit Large Eddy Simulation of transitional flows over airfoils and wings. Nineteenth AIAA Computational Fluid Dynamics Conference, San Antonio, TX, 22-25 June 2008, AIAA-2009-4131, 2009.
2. Zang Y, Street RL, Koseff JR. A dynamic mixed subgrid-scale model and its application to turbulent recirculating flows. Physics of Fluids A 1993; 5(12):3186-3196.
3. Galbraith MC, Visbal MR. Implicit Large-Eddy Simulation of low Reynolds number flow past the SD7003 airfoil. Forty-sixth AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 7-10 January 2008, AIAA-2008-225, 2008.
4. Visbal MR, Gordnier RE, Galbraith MC. High-fidelity simulations of moving and flexible airfoils at low Reynolds numbers. Experiments in Fluids 2009; 46:903-922.
5. Scott Collis S. The DG/VMS method for unified turbulence simulation. Thirty-second AIAA Fluid Dynamics Conference and Exhibit, St. Louis, MO, 24-26 June 2002, AIAA-2002-3124, 2002.
6. Ramakrishnan S, Scott Collis S. Multiscale modeling for turbulence simulation in complex geometries. Forty-second AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 5-8 January 2004, AIAA-2004-241, 2004
7. Sengupta K, Mashayek F. Large-eddy simulation using a discontinuous Galerkin spectral element method. Forty-fifth AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 8-11 January 2004, AIAA-2007-402, 2007.
8. Xu Z, Stanescu D, Naughton JW. Development of a spectral element DNS/LES method for turbulent flow simulations. Fifth Joint ASME/JSME Fluids Engineering Conference, FEDSM 2007, San Diego, CA, 30 July-2 August 2007.
9. Alam M, Sandham ND. Direct Numerical Simulation of 'short' laminar separation bubbles with turbulent reattachment. Journal of Fluid Mechanics 2000; 41:1-28.
10. Lang M, Rist U, Wagner S. Investigations on controlled transition development in a laminar separation bubble by means of LDA and PVI. Experiments in Fluids 2004; 36(1):43-52.
11. Hain R, Kähler CJ, Radespiel R. Dynamics of laminar separation bubbles at low-Reynolds-number aerofoils. Journal of Fluid Mechanics 2009; 630:129-153.
12. Drela M, Giles MB. Viscous-inviscid analysis of transonic and low Reynolds number airfoils. AIAA Journal 1987; 25(10):1347-1355.
13. Selig MS, Donovan JF, Fraser DB. Airfoils at Low Speeds. Soartech 8, H.A. Stokely Publisher: Virginia Beach, VA, U.S.A., 1989.
14. Selig MS, Guglielmo JJ, Broeren AP, Giguere P. Summary of Low-speed Airfoil Data. Soartech Aero Publications, H.A. Stokely: Virginia Beach, VA, U.S.A., 1995.
15. Ol M, McAuliffe BR, Hanff ES, Scholz U, Kahler C. Comparison of laminar separation bubbles measurements on a low Reynolds number airfoil in three facilities. Proceedings of the 35th Fluid Dynamics Conference and Exhibit, Toronto, Ont., Canada, AIAA-2005-5149, 2005.
16. Tang L. RANS simulation of a low-Reynolds-number airfoil aerodynamics. Forty-fourth AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 9-12 January 2006, AIAA-2006-249, 2006.
17. Lian Y, Shyy W. Laminar-turbulent transition of a low Reynolds number rigid or flexible airfoil. AIAA Journal 2007; 45(7):1501-1513.
18. Qin S, Zhuang M, Visbal MR, Galbraith MC, Lian Y, Shyy W. Local and global stability analysis on flows around a SD7003 airfoil. Forty-seventh AIAA Aerospace Sciences Meeting, Orlando, FL, 5-8 January 2009, AIAA-2009-1470, 2009.
19. Lesieur M, Métais O. New trends in Large-Eddy Simulations of turbulence. Annual Review of Fluid Mechanics 1996; 28:45-82.
20. Meneveau C, Katz J. Scale-invariance and turbulence models for Large-Eddy Simulation. Annual Review of Fluid Mechanics 2000; 32:1-32.
21. Spalart PR. Strategies for turbulence modelling and simulations. International Journal of Heat and Fluid Flow 2000; 21:252-263.
22. Fureby C, Taylor G, Weller HG, Gosman AD. A comparative study of subgrid scale models in homogeneous isotropic turbulence. Physics of Fluids 1997; 9(5):1416-1429.
23. Boris JP. On Large Eddy Simulation using subgrid turbulence models. In Whither Turbulence ? Turbulence at the Crossroads, Lumley JL (ed.). Springer: New York, 1990; 344-353.
24. Drikakis D, Marco H, Grinstein FF, DeVore CR, Fureby C, Liefvendahl M, Youngs DL. Numerics for ILES: limiting algorithms. In Implicit Large-Eddy Simulation: Computing Turbulent Flow Dynamics, Grinstein FF, Margolin LG, Rider WJ (eds). Cambridge University Press: New York, NY, U.S.A., 2007; 94-129.
25. Grinstein FF, Margolin LG, Rider WJ. A rationale for implicit LES. In Implicit Large-Eddy Simulation: Computing Turbulent Flow Dynamics, Grinstein FF, Margolin LG, Rider WJ (eds). Cambridge University Press: New York, NY, U.S.A., 2007.
26. Margolin LG, Rider WJ. Numerical regularization: the numerical analysis of implicit subgrid models. In Implicit Large-Eddy Simulation: Computing Turbulent Flow Dynamics, Grinstein FF, Margolin LG, Rider WJ (eds). Cambridge University Press: New York, NY, U.S.A., 2007; 195-221.
27. Fureby U, Grinstein FF. Monotonically integrated Large Eddy Simulation of free shear flows. AIAA Journal 1999; 37:544-556.
28. Fureby C, Grinstein FF. Large-Eddy Simulation of high Reynolds-number free and wall bounded flows. Journal of Computational Physics 2002; 181:68.
29. Rider WJ, Margolin LG. From numerical analysis to implicit subgrid turbulence modeling. Sixteenth AIAA Computational Fluid Dynamics Conference, Orlando, FL, 23-26 June 2003, AIAA-2003-4101, 2003.
30. Grinstein FF, Margolin LG, Rider WJ. Introduction. In Implicit Large-Eddy Simulation: Computing Turbulent Flow Dynamics, Grinstein FF, Margolin LG, Rider WJ (eds). Cambridge University Press: New York, NY, U.S.A., 2007; 1-6.
31. Roe PL. Approximate Riemann solvers, parameter vectors, and difference schemes. Journal of Computational Physics 1981; 43(2):357-372.
32. Peraire J, Persson P-O. The Compact Discontinuous Galerkin (CDG) method for elliptic problems. SIAM Journal of Scientific Computing 2008; 30(4):1806-1824.
33. Persson P-O, Peraire J. Newton-GMRES preconditioning for Discontinuous Galerkin discretizations of the Navier-Sstokes equations. SIAM Journal on Scientific Computing 2008; 30(6):2709-2733.
34. Persson P-O. Scalable parallel Newton-Krylov solvers for Discontinuous Galerkin discretizations. Proceedings of the 47th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, AIAA-2009-606, 2009.
35. Alexander R. Diagonally implicit Runge-Kutta methods for stiff O.D.E.'s. SIAM Journal on Numerical Analysis 1977; 14(6):1006-1021.
36. Drela M. XFOIL Users Guide, Version 6.94. MIT Aeronautics and Astronautics Department, 2002.
37. Dubeif Y, Delcayre F. On coherent-vortex identification in turbulence. Journal of Turbulence 2000; 1(11):1-22.
38. Radespiel R, Windte J, Scholz U. Numerical and experimental flow analysis of moving airfoils with laminar separation bubbles. AIAA Paper 2006-501, January 2006.