Modeling turbulent flow with implicit LES

Journal of Turbulence

Volumn 7, Issue , 2006, Pages 1-27

  Margolin, L G ^a   Rider, W J ^a   Grinstein, F F ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; REYNOLDS NUMBER; TURBULENCE; TURBULENT FLOW;

FLOW MODELING; LARGE EDDY SIMULATION; REYNOLDS NUMBER; TURBULENT FLOW;

EID: 33644585450     PISSN: None     EISSN: 14685248     Source Type: Journal    
DOI: 10.1080/14685240500331595     Document Type: Article

References (55)

1. Batchelor, G.K., 1983 The theory of Homogeneous Turbulence (Cambridge, UK: Cambridge University Press).
2. Boris, J.P and Book, D.L., 1973, Flux-corrected transport: 1. SHASTA, a fluid transport algorithm that works. Journal of Computational Physics, 11, 38-69.
3. Boris, J.P, 1990, "On large eddy simulation using subgrid turbulence models. In J.L. Lumley (Ed), Whither Turbulence? Turbulence at the Crossroads (Berlin: Springer-Verlag), pp. 344-353.
4. Boris, J.P., Grinstein, F.F., Oran, E.S. and Kolbe, R.J., 1992, New insights into large eddy simulation. Fluid Dynamics Research, 10, 199.
5. Colella, P. and Woodward, P.R., 1984, The piecewise parabolic method (PPM) for gas-dynamical simulations. Journal of Computational Physics, 54, 174-201.
6. Cook, A.W. and Cabot, W.H., 2004, A high-wavenumber viscosity for high-resolution numerical methods. Journal of Computational Physics, 195, 594-601.
7. Cook, A.W. and Cabot, W.H., 2005, Hyperviscosity for shock-turbulence interactions. Journal of Computational Physics, 203, 379-385.
8. Daru, V. and Tenaud, C., 2004, High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations. Journal of Computational Physics, 193, 563-594.
9. Drikakis, D. (Ed), 2002, Very large eddy simulation, Special Issue of Internat. Journal of Numerical Methods in Fluids, 39, 763-864.
10. Drikakis, D., 2003, Advances in turbulent flow computations using high-resolution methods. Progress in Aerospace Sciences, 39(6-7), 405-424.
11. Drikakis, D. and Rider, W.J., 2005, High-Resolution Methods for Incompressible and Low-Speed Flows (Berlin: Springer-Verlag).
12. Frisch, U. 1998, Turbulence (Cambridge, UK: Cambridge University Press).
13. Fureby, C. and Grinstein, F.F., 1999, Monotonically integrated large eddy simulation of free shear flows. AIAA Journal 37, 544-556.
14. Fureby C. and Grinstein F.F., 2002, Large eddy simulation of high Reynolds-number free and wall bounded flows. Journal of Computational Physics, 181, 68.
15. Grinstein, F.F., 1995, Self-induced vortex ring dynamics in subsonic rectangular jets. Physics of Fluids, 7, 2519-2521.
16. Grinstein, F.F., and DeVore, C.R., 1992, Coherent structure dynamics in spatially-developing square jets, AIAA paper AIAA-92-3441.
17. Grinstein, F.F., and DeVore, C.R., 1996, Dynamics of coherent structures and transition to turbulence in free square jets. Physics of Fluids, 8, 1237-1251.
18. Grinstein, F.F. and Fureby, C., 2002, Recent progress on MILES for high Reynolds-number flows. Journal of Fluids Engineering, 124, 848-861.
19. Grinstein, F.F., Gutmark, E. and Parr, T., 1995, Near field dynamics of subsonic square jets. A computational and experimental study. Physics of Fluids, 7, 1483-1497.
20. Grinstein, F.F. and Karniadakis, G.E. (Eds), 2002, Alternative LES and hybrid RANS/LES, Special Issue of ASME Joumal of Fluids Engineering, 124, 821-942.
21. Grinstein, F.F., Margolin, L.G. and Rider, W.J. (Eds), 2006, Implicit large eddy simulation: computing turbulent flow dynamics (Cambridge), in press.
22. Hahn, M. and Drikakis, D., 2004, Large eddy simulation of compressible turbulence using high-resolution methods. International Journal of Numerical Methods in Fluids, 47, 971-977.
23. Harten, A., Engquist, B., Osher, S. and Chakravarthy, S., 1987, Uniformly high order accurate essentially nonoscillatory schemes, III. Journal of Computational Physics, 71, 231-301.
24. Harten A. and Osher, S., 1987, Uniformly high-order accurate nonoscillatory schemes. I. SIAM Journal on Numerical Analysis, 24, 1565-1619.
25. Herring, J.R. and Kerr, R.M., 1993, Development and enstrophy and spectra in numerical turbulence. Physics of Fluids A, 5, 2792-2798.
26. Hirt, C. 1968, Heuristic stability theory for finite difference equations. Journal of Computational Physics, 2, 339-355.
27. Hirt, C.W., 1969, Computer studies of time-dependent turbulent flows. Physics of Fluids, 2, 219-227.
28. Huynh, H.T., 1995, Accurate upwind methods for the Euler equations. SIAM Journal of Numerical Analysis, 32, 279-309.
29. Jiang, G.S. and Shu, C.W., 1996, Efficient implementation of weighted ENO schemes. Journal of Computational Physics, 126, 202-228.
30. Jimenez, J., Wray, A.A., Saffman, P.G. and Rogallo, R.S., 1993, The structure of intense vorticity in isotropic turbulence. Journal of Fluid Mechanics, 255, 65-90.
31. Kang, H.S., Chester, S. and Meneveau, C., 2003, Decaying turbulence in an active-grid-generated flow and comparisons with large-eddy simulation. Journal of Fluid Mechanics, 480, 129-160.
32. LeVeque, R.J., 1999. Numerical methods for conservation laws, 2nd edition (Boston: Birkhauser Verlag).
33. Linden, P.F., Redondo, J.M. and Youngs, D.L., 1994, Molecular mixing in Rayleigh-Taylor instability. Journal of Fluid Mechanics, 265, 97-124.
34. Margolin, L.G., Smolarkiewicz, P.K. and Sorbjan, Z., 1999, Large eddy simulations of convective boundary layers using nonoscillatory differencing. Physica D, 133, 390-397.
35. Margolin, L.G. and Rider, W.J., 2002, A rationale for implicit turbulence modeling. International Journal of Numerical Methods in Fluids, 39, 821-841.
36. Margolin, L.G. and Rider, W.J., 2005, The design and construction of implicit LES models. International Journal of Numerical Methods in Fluids, 47, 1173-1179.
37. Margolin, L. and Smolarkiewicz, P.K., 1999, Antidiffusive velocities for multipass donor cell advection. SIAM Journal of Scientific Computing, 20, 907-929.
38. Margolin, L.G., Smolarkewicz, P.K. and Wyszogrodzki, A.A., 2002, Implicit turbulence modeling for high Reynolds number flows. Journal of Fluids Engineering, 124, 862-867.
39. Pope, S.B., 2000, Turbulent Flows (Cambridge, MA: Cambridge University Press).
40. Porter, D.H., Pouquet, A. and Woodward, P.R., 1994, Kolmogorov-like spectra in decaying three-dimensional supersonic flows. Physics of Fluids, 6, 2133-2142.
41. Rider, W.J. and Margolin, L.G., 2003, From numerical analysis to implicit subgrid turbulence modeling, Proc. 16th AIAA CFD Conference, June 23-26, 2003, Orlando, FL, paper AIAA 2003-4101.
42. Rider, W.J. and Margolin, L.G., 2001, Simple modifications of monotonicity limiters. Journal of Computational Physics, 174, 473-488.
43. Rider, W.J., Greenough, J. and Kamm, J.R., 2005, Extrema, accurate monotonicity- and extrema-preserving methods through adaptive nonlinear hybridizations. Journal of Computational Physics, (in review), see also LANL preprint LA-UR-04-0593.
44. Rider, W.J., Greenough, J. and Kamm, J. R., 2005, Combining high-order accuracy with nonoscillatory methods through monotonicity preservation. International Journal for Numerical Methods in Fluids, 47(10-11), 1253-1259.
45. Simmons, L.F.G. and Salter, C., 1938, An experimental determination of the spectrum of turbulence. Proceedings of Royal Society A, 165, 73.
46. Smagorinsky, J., 1963, General circulation experiments with primitive equations: I. The basic experiment. Monthly Weather Review, 101, 99-164.
47. Smagorinsky, J. 1983, The beginnings of numerical weather prediction and general circulation modeling: early recollections. Advancements in Geophysics, 25, pp. 3-37.
48. Smolarkiewicz, P.K. and Margolin, L.G., 1998, MPDATA: a finite-difference solver for geophysical flows. Journal of Computational Physics, 140, 459-480.
49. Smolarkiewicz, P.K., Margolin, L.G. and Wyszogrodzki, A.A., 2001, A Class of nonhydrostatic global models. Journal of the Atmosphereic Sciences, 58, 349-364.
50. Smolarkiewicz, P.K. and Prusa, J.M., 2002, VLES modeling of geophysical fluids with nonoscillatory forward-in-time schemes. International Journal for Numerical Methods in Fluids, 39, 799-819.
51. Suresh A. and Huynh, H.T., 1997, Accurate monotonicity-preserving schemes with Runge-Kutta time stepping. Journal of Computational Physics, 136, 83-99.
52. van Atta, C.W. and Chen, W.Y., 1969, Measurements of spectral energy transfer in grid turbulence. Journal of Fluid Mechanics, 38, 743-763.
53. van Leer, B., 1977, Towards the ultimate conservative difference scheme. III. Upstream-centered finite-difference schemes for ideal compressible flow. Journal of Computational Physics, 23, 263-275.
54. van Leer B., 1979, Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method. Journal of Computational Physics, 32, 101-136. Reprinted in Journal of Computational Physics, 135, 229-248, August 1997.
55. von Neumann, J. and Richtmyer, R.D., 1950, A method for the numerical calculation of hydrodynamic shocks. Journal of Applied Physics, 21, 232-237.