Assessment of localized artificial diffusivity scheme for large-eddy simulation of compressible turbulent flows

Journal of Computational Physics

Volumn 229, Issue 5, 2010, Pages 1739-1762

  Kawai, Soshi ^a   Shankar, Santhosh K ^b   Lele, Sanjiva K ^b,c  

^a STANFORD UNIVERSITY   (United States)

^b 496 Lomita Mall   (United States)

^c Stanford University   (United States)

Author keywords

Artificial diffusivity method; Compact differences; Compressible turbulence; High order methods; Large eddy simulation; Shock capturing

Indexed keywords

ATMOSPHERIC THERMODYNAMICS; BOUNDARY LAYER FLOW; BOUNDARY LAYERS; DAMPING; DIFFUSION; LOW PASS FILTERS; REYNOLDS NUMBER; TURBULENCE; TURBULENT FLOW; VISCOSITY;

ARTIFICIAL BULK VISCOSITIES; ARTIFICIAL DIFFUSIVITY; ARTIFICIAL DIFFUSIVITY METHOD; COMPACT DIFFERENCE; COMPRESSIBLE TURBULENCE; HIGH-ORDER METHODS; HIGHER-ORDER METHODS; LARGE-EDDY SIMULATIONS; SHOCK-CAPTURING; SUB-GRID-SCALE MODELS;

LARGE EDDY SIMULATION;

EID: 72449132905     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.11.005     Document Type: Article

References (39)

1. Cook A.W. Artificial fluid properties for large-eddy simulation of compressible turbulent mixing. Physics of Fluids 19 5 (2007) 055103
2. Kawai S., and Lele S.K. Localized artificial diffusivity scheme for discontinuity capturing on curvilinear meshes. Journal of Computational Physics 227 22 (2008) 9498-9526
3. Cook A.W., and Cabot W.H. A high-wavenumber viscosity for high-resolution numerical method. Journal of Computational Physics 195 2 (2004) 594-601
4. Cook A.W., and Cabot W.H. Hyperviscosity for shock-turbulence interactions. Journal of Computational Physics 203 2 (2005) 379-385
5. Fiorina B., and Lele S.K. An artificial nonlinear diffusivity method for supersonic reacting flows with shocks. Journal of Computational Physics 222 1 (2007) 246-264
6. E. Johnsen, J. Larsson, A.V. Bhagatwala, W.H. Cabot, P. Moin, P.S. Rawat, S.K. Shankar, B. Sjogreen, H.C. Yee, X. Zhong, S.K. Lele, Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves, Journal of Computational Physics, doi:10.1016/j.jcp.2009.10.028.
7. Bhagatwala A., and Lele S.K. A modified artificial viscosity approach for compressible turbulence simulations. Journal of Computational Physics 228 14 (2009) 4965-4969
8. Mani A., Larsson J., and Moin P. Suitability of artificial bulk viscosity for large-eddy simulation of turbulent flows with shocks. Journal of Computational Physics 228 19 (2009) 7368-7374
9. Moin P., Squires K., Cabot W., and Lee S. A dynamic subgrid-scale model for compressible turbulence and scalar transport. Physics of Fluids A 3 11 (1991) 2746-2757
10. Lilly D.K. A proposed modification of the Germano subgrid-scale closure method. Physics of Fluids A 4 3 (1992) 633-635
11. Lee S., Lele S.K., and Moin P. Eddy shocklets in decaying compressible turbulence. Physics of Fluids A 3 4 (1991) 657-664
12. Sod G.A. A survey of several finite difference methods for systems on non-linear hyperbolic conservation laws. Journal of Computational Physics 27 1 (1978) 1-31
13. Shu C.W., and Osher S.J. Efficient implementation of essentially nonoscillatory shock capturing schemes II. Journal of Computational Physics 83 1 (1989) 32-78
14. Lele S.K. Compact finite difference schemes with spectral-like resolution. Journal of Computational Physics 103 1 (1992) 16-42
15. D.V. Gaitonde, M.R. Visbal, High-order schemes for Navier-Stokes equations: Algorithm and implementation into FDL3DI, AFRL-VA-WP-TR-1998-3060, Air Force Research Laboratory, 1998.
16. Gaitonde D.V., and Visbal M.R. Padé-type higher-order boundary filters for the Navier-Stokes equations. AIAA Journal 38 11 (2000) 2103-2112
17. D.V. Gaitonde, J.S. Shang, J.L. Young, Practical aspects of high-order accurate finite-volume schemes for electromagnetics, AIAA Paper 97-0363, AIAA, 1997.
18. Fyfe D.J. Economical evaluation of Runge-Kutta formulae. Mathematics of Computation 20 (1966) 392-398
19. S. Obayashi, K. Fujii, S. Gavali, Navier-Stokes simulation of wind-tunnel flow using LU-ADI factorization algorithm, NASA-TM-100042, NASA, 1988.
20. N. Iizuka, Study of Mach number effect on the dynamic stability of a blunt re-entry capsule, Ph.D. Thesis, University of Tokyo, 2006.
21. Beam R.M., and Warming R.F. An implicit factored scheme for the compressible Navier-Stokes equations. AIAA Journal 16 (1978) 393-402
22. Yoon S., and Jameson A. Lower-upper symmetric-Gauss-Seidel method for the Euler and Navier-Stokes equations. AIAA Journal 26 9 (1988) 1025-1026
23. Ducros F., Ferrand V., Nicoud F., Weber C., Darracq D., Gacherieu C., and Poinsot T. Large-eddy simulation of the shock/turbulence interaction. Journal of Computational Physics 152 2 (1999) 517-549
24. J. Larsson, S.K. Lele, P. Moin, Effect of numerical dissipation on the predicted spectra for compressible turbulence, in: Annual Research Briefs 2007, Center for Turbulence Research, NASA Ames and Stanford University, 2007, pp. 47-57. .
25. Jiang G.S., and Shu C.W. Efficient implementation of weighted ENO scheme. Journal of Computational Physics 126 1 (1996) 202-228
26. Garnier E., Sagaut P., and Deville M. A class of explicit ENO filters with application to unsteady flows. Journal of Computational Physics 170 1 (2001) 184-204
27. J. Larsson, Direct numerical simulation of canonical shock/turbulence interaction, in: Annual Research Briefs 2008, Center for Turbulence Research, NASA Ames and Stanford University, 2008, pp. 101-114. .
28. Garnier E., Sagaut P., and Deville M. Large eddy simulation of shock/boundary-layer interaction. AIAA Journal 40 10 (2002) 1935-1944
29. Teramoto S. Large-eddy simulation of transitional boundary layer with impinging shock wave. AIAA Journal 43 11 (2005) 2354-2363
30. S.C. Lo, G.A. Blaisdell, A.S. Lyrintzis, High-order shock capturing schemes for turbulence calculations, AIAA Paper 2007-827, AIAA, 2007.
31. S. Kawai, S.K. Lele, Large-eddy simulation of jet mixing in a supersonic turbulent crossflow, AIAA Paper 2009-3795, AIAA, 2009.
32. Urbin G., and Knight D. Large-eddy simulation of a supersonic boundary layer using an unstructured grid. AIAA Journal 39 7 (2001) 1288-1295
33. Choi B., and Moin P. Effects of the computational time step on numerical solutions of turbulent flow. Journal of Computational Physics 113 1 (1994) 1-4
34. Van Driest E.R. Turbulent boundary layer in compressible fluids. Journal of The Aeronautical Sciences 18 3 (1951) 145-160
35. Pirozzoli S., Bernardini M., and Grasso F. Characterization of coherent vortical structures in a supersonic turbulent boundary layer. Journal of Fluid Mechanics 613 (2008) 205-231
36. Visbal M.R., and Rizzetta D.P. Large-eddy simulation on curvilinear grids using compact differencing and filtering schemes. Journal of Fluids Engineering 124 4 (2002) 836-847
37. Santiago J.G., and Dutton J.C. Velocity measurements of a jet injected into a supersonic crossflow. Journal of Propulsion and Power 13 2 (1997) 264-273
38. Bogey C., and Bailly C. Decrease of the effective Reynolds number with eddy-viscosity subgrid modeling. AIAA Journal 43 2 (2005) 437-439
39. Bogey C., and Bailly C. Large eddy simulations of round free jets using explicit filtering with/without dynamic Smagorinsky model. International Journal of Heat and Fluid Flow 27 4 (2006) 603-610