On implicit subgrid-scale modeling in wall-bounded flows

Physics of Fluids

Volumn 19, Issue 10, 2007, Pages

  Hickel, S ^a   Adams, A N ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; CHANNEL FLOW; DECONVOLUTION; DIRECT NUMERICAL SIMULATION; FRICTION; INCOMPRESSIBLE FLOW; LARGE EDDY SIMULATION; REYNOLDS NUMBER; TURBULENT FLOW;

ADAPTIVE LOCAL DECONVOLUTION METHOD; IMPLICIT LARGE EDDY SIMULATION; NUMERICAL DISCRETIZATION; SMAGORINSKY MODEL; SUBGRID-SCALE MODEL;

WALL FLOW;

BOUNDARY LAYER FLOW; CHANNEL FLOW; DECONVOLUTION; DIRECT NUMERICAL SIMULATION; FRICTION; INCOMPRESSIBLE FLOW; LARGE EDDY SIMULATION; REYNOLDS NUMBER; TURBULENT FLOW; WALL FLOW;

EID: 35748970748     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2773765     Document Type: Article

References (38)

1. S. Ghosal, "An analysis of numerical errors in large-eddy simulations of turbulence," J. Comput. Phys. JCTPAH0021-999110.1006/ jcph.1996.0088 125, 187 (1996).
2. A. G. Kravchenko and P. Moin, "On the effect of numerical errors in large-eddy simulation of turbulent flows," J. Comput. Phys. JCTPAH0021-999110.1006/jcph.1996.5597 130, 310 (1997).
3. S. Stolz, N. A. Adams, and L. Kleiser, "The approximate deconvolution model for compressible flows: Decaying turbulence and shock-turbulent-boundary-layer interaction," in Large-Eddy Simulation of Complex Transitional and Turbulent Flows, edited by R. Friedrich and W. Rodi (Kluwer, Dordrecht, 2001).
4. R. Vichnevetsky and J. B. Bowles, Fourier Analysis of Numerical Approximations of Hyperbolic Equations (SIAM, Philadelphia, 1982).
5. J. Smagorinsky, "Some historical remarks on the use of nonlinear viscosities," in Large Eddy Simulation of Complex Engineering and Geophysical Flows, edited by B. Galperin and S. A. Orszag (Cambridge University Press, Cambridge, 1993), pp. 3-36.
6. T. Kawamura and K. Kuwahara, "Computation of high Reynolds number flow around a circular cylcinder with surface roughness," AIAA J. AIAJAH0001-1452 84, 0340 (1984).
7. J. P. Boris, F. F. Grinstein, E. S. Oran, and R. L. Kolbe, "New insights into large eddy simulation," in Fluid Dynamics Research (North-Holland, Amsterdam, 1992), Vol. 10, pp. 199-228.
8. D. H. Porter, P. R. Woodward, and A. Pouquet, "Inertial range structures in decaying compressible turbulent flows," Phys. Fluids PHFLE61070-663110.1063/1.869563 10, 237 (1998).
9. P. K. Smolarkiewicz and L. G. Margolin, "MPDATA: A finite-difference solver for geophysical flows," J. Comput. Phys. JCTPAH0021-999110.1006/jcph.1998.5901 140, 459 (1998).
10. C. Fureby and F. F. Grinstein, "Large eddy simulation of high-Reynolds-number free and wall-bounded flows," J. Comput. Phys. JCTPAH0021-999110.1006/jcph.2002.7119 181, 68 (2002).
11. Implicit Large Eddy Simulation: Computing Turbulent Flow Dynamics, edited by F. F. Grinstein, L. G. Margolin, and W. G. Rider (Cambridge University Press, Cambridge, 2007).
12. E. Garnier, M. Mossi, P. Sagaut, P. Comte, and M. Deville, "On the use of shock-capturing schemes for large-eddy simulation," J. Comput. Phys. JCTPAH0021-999110.1006/jcph.1999.6268 153, 273 (1999).
13. J. A. Domaradzki and S. Radhakrishnan, "Eddy viscosities in implicit large eddy simulations of decaying high Reynolds number turbulence with and without rotation," Fluid Dyn. Res. FDRSEH0169-598310.1016/j.fluiddyn.2004.08.004 36, 385 (2005).
14. F. F. Grinstein and C. Fureby, "From canonical to complex flows: Recent progress on monotonically integrated LES," Comput. Sci. Eng. CSENFA1521-961510.1109/MCISE.2004.1267605 6, 36 (2004).
15. S. Hickel, N. A. Adams, and J. A. Domaradzki, "An adaptive local deconvolution method for implicit LES," J. Comput. Phys. JCTPAH0021-999110.1016/j.jcp.2005.08.017 213, 413 (2006).
16. U. Schumann, "Subgrid scale model for finite-difference simulations of turbulence in plane channels and annuli," J. Comput. Phys. JCTPAH0021-999110.1016/0021-9991(75)90093-5 18, 376 (1975).
17. N. A. Adams, S. Hickel, and S. Franz, "Implicit subgrid-scale modeling by adaptive deconvolution," J. Comput. Phys. JCTPAH0021-999110.1016/j.jcp.2004.04.010 200, 412 (2004).
18. A. Harten, B. Engquist, S. Osher, and S. Chakravarthy, "Uniformly high order accurate essentially non-oscillatory schemes, III," J. Comput. Phys. JCTPAH0021-999110.1016/0021-9991(87)90031-3 71, 231 (1987).
19. C.-W. Shu, "High order ENO and WENO schemes for computational fluid dynamics," in High-Order Methods for Computational Physics, Lecture Notes in Computational Science and Engineering, edited by H. Deconinck and T. J. Barth (Springer, Berlin, 1999), pp. 439-582.
20. J.-P. Chollet, "Two-point closures as a subgrid-scale modeling tool for large-eddy simulations," in Turbulent Shear Flows IV, edited by F. Durst and B. E. Launder (Springer, Heidelberg, 1984), pp. 62-72.
21. M. Lesieur, Turbulence in Fluids, 3rd ed. (Kluwer Academic, Dordrecht, 1997).
22. G. Comte-Bellot and S. Corrsin, "Simple Eulerian time correlation of full and narrow-band velocity signals in grid-generated 'isotropic' turbulence," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112071001599 48, 273 (1971).
23. H. S. Kang, S. Chester, and C. Meneveau, "Decaying turbulence in an active-grid-generated flow and large-eddy simulation," J. Fluid Mech. JFLSA70022-112010.1017/S0022112002003579 480, 129 (2003).
24. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
25. P. Sagaut, Large-Eddy Simulation for Incompressible Flows, 3rd ed. (Springer, Berlin, 2005).
26. S.Hickel and N. A. Adams, "Efficient implementation of nonlinear deconvolution methods for implicit large-eddy simulation," in High Performance Computing in Science and Engineering: Transactions of the High Performance Computing Center, Stuttgart (HLRS), edited by W. E. Nagel, W. Jäger, and M. Resch (Springer, Berlin, 2006), pp. 293-306.
27. S. Gottlieb and C.-W. Shu, "Total variation diminishing Runge-Kutta schemes," Math. Comput. MCMPAF0025-571810.1090/ S0025-5718-98-00913-2 67, 73 (1998).
28. C.-W. Shu, "Total-variation-diminishing time discretizations," SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. SIJCD40196-520410.1137/0909073 9, 1073 (1988).
29. R. D. Moser, J. Kim, and N. N. Mansour, "Direct numerical simulation of turbulent channel flow up to Reτ=590," Phys. Fluids PHFLE61070-663110.1063/1.869966 11, 943 (1999).
30. J. Gullbrand and F. K. Chow, "The effect of numerical errors and turbulence models in large-eddy simulations of channel flow, with and without explicit filtering," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112003006268 495, 323 (2003).
31. T. Kempe, "LES of turbulent channel flow using the dynamic Smagorinsky model" (personal communication, 2003).
32. D. K. Lilly, "A proposed modification of the Germano subgrid-scale closure model," Phys. Fluids A PFADEB0899-821310.1063/1.858280 4, 633 (1992).
33. M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, "A dynamic subgrid-scale eddy viscosity model," Phys. Fluids A PFADEB0899-821310.1063/1.857955 3, 1760 (1991).
34. U. Piomelli, "High Reynolds number calculations using the dynamic subgrid-scale stress model," Phys. Fluids A PFADEB0899-821310.1063/ 1.858586 5, 1484 (1993).
35. E. Lévêque, F. Toschi, L. Shao, and J.-P. Bertoglio, "Shear-improved Smagorinsky model for large-eddy simulation of wall-bounded turbulent flows," J. Fluid Mech. JFLSA70022-112010.1017/S0022112006003429 570, 491 (2007).
36. U. Piomelli, "Models for large eddy simulations of turbulent flow including transpiration," Ph.D. thesis, Stanford University, 1988.
37. J. C. del Álamo, J. Jiménez, P. Zandonade, and R. D. Moser, "Scaling of the energy spectra of turbulent channels," J. Fluid Mech. JFLSA70022-112010.1017/S002211200300733X 500, 135 (2004).
38. J. Kim, P. Moin, and R. D. Moser, "Turbulence statistics in fully developed channel flow at low Reynolds number," J. Fluid Mech. JFLSA70022-112010.1017/S0022112087000892 177, 133 (1987).