The effect of mesh resolution on convective boundary layer statistics and structures generated by large-eddy simulation

Journal of the Atmospheric Sciences

Volumn 68, Issue 10, 2011, Pages 2395-2415

  Sullivan, Peter P ^a   Patton, Edward G ^a  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

Boundary layer

Indexed keywords

BOUNDARY LAYER HEIGHTS; CONVECTIVE BOUNDARY LAYERS; ENERGY SPECTRA; ENERGY-CONTAINING EDDIES; ENTRAINMENT RATES; GRID POINTS; GRID RESOLUTION; GRID-INDEPENDENT; HORIZONTAL PLANES; INERTIAL SUBRANGE; KOLMOGOROV; LOW-ORDER MOMENTS; MESH RESOLUTION; NUMERICAL CONVERGENCE; PLANETARY BOUNDARY LAYERS; PRESSURE EQUATIONS; PSEUDOSPECTRAL; SECOND ORDER STATISTICS; SURFACE HEAT FLUXES; TEMPERATURE FLUX; THIRD ORDER MOMENT; TIME DEPENDENT SIMULATION; TIME VARIATIONS; VERTICAL GRIDS; VERTICAL TEMPERATURE; VERTICAL VELOCITY;

BOUNDARY LAYERS; CODES (SYMBOLS); CONVERGENCE OF NUMERICAL METHODS; HEAT FLUX; LARGE EDDY SIMULATION; SENSITIVITY ANALYSIS; SPECTROSCOPY;

ATMOSPHERIC THERMODYNAMICS;

CONVECTIVE BOUNDARY LAYER; ENTRAINMENT; HEAT FLUX; LARGE EDDY SIMULATION; SURFACE FLUX; TEMPERATURE PROFILE; TURBULENCE;

EID: 81555213065     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/JAS-D-10-05010.1     Document Type: Article

References (76)

1. Andren, A., A. R. Brown, P. J. Mason, J. Graf, U. Schumann, C.-H. Moeng, and F. T. M. Nieuwstadt, 1994: Large-eddy simulation of a neutrally stratified boundary layer: A comparison of four computer codes. Quart. J. Roy. Meteor. Soc., 120, 1457-1484.
2. Aoyama, Y., and J. Nakano, 1999: RS/6000 SP: Practical MPI programming. Tech. Rep. IBM Redbook SG24-5380-00, International Business Machines, 221 pp.
3. Beare, R. J., and Coauthors, 2006: An intercomparison of largeeddy simulations of the stable boundary layer. Bound.-Layer Meteor., 118, 242-272.
4. Beets, C., and B. Koren, 1996: Large-eddy simulation with accurate implicit subgrid-scale diffusion. Department of Numerical Mathematics Rep. NM-R9601, Utrecht University, 24 pp.
5. Betts, A. K., 1974: Reply to comment on the paper 'Non-precipitating cumulus convection and its parameterization.' Quart. J. Roy. Meteor. Soc., 100, 469-471.
6. Brasseur, J. G., and T. Wei, 2010: Designing large eddy simulation of the turbulent boundary layer to capture law-of-the-wall scaling. Phys. Fluids, 22, 021303, doi:10.1063/1.3319073.
7. Bretherton, C. S., and Coauthors, 1999: An intercomparison of radiatively driven entrainment and turbulence in a smoke cloud, as simulated by different numerical models. Quart. J. Roy. Meteor. Soc., 554, 391-423.
8. Bryan, G. H., J. C. Wyngaard, and J. M. Fritsch, 2003: Resolution requirements for the simulation of deep moist convection. Mon. Wea. Rev., 131, 2394-2416.
9. Celik, I., M. Klein, M. Freitag, and J. Janicka, 2006: Assessment measures for URANS/DES/LES: An overview with applications. J. Turbul., 7, 1-27.
10. Chow, F. K., and P.Moin, 2003: A further study of numerical errors in large-eddy simulations. J. Comput. Phys., 184, 366-380.
11. Davis, K. J., N. Gamage, C. R. Hagelberg, D. H. L. C. Kiemle, and P. P. Sullivan, 2000: An objective method for deriving atmospheric structure from airborne lidar observations. J. Atmos. Oceanic Technol., 17, 1455-1468.
12. Deardorff, J. W., 1972a: Numerical investigation of neutral and unstable planetary boundary layers. J. Atmos. Sci., 29, 91-115.
13. Deardorff, J. W., 1972b: Three-dimensional numerical modeling of the planetary boundary layer. Workshop on Micrometeorology, D. A. Haugen, Ed., Amer. Meteor. Soc., 271-311.
14. Deardorff, J. W., 1980: Stratocumulus-capped mixed layers derived from a three-dimensionalmodel. Bound.-LayerMeteor., 18, 495-527.
15. de Roode, S. R., P. G. Duynkerke, and H. J. J. Jonker, 2004: Large eddy simulation: How large is large enough? J. Atmos. Sci., 61, 403-421.
16. Fedorovich, E., F. T. M. Nieuwstadt, and R. Kaiser, 2001: Numerical and laboratory study of a horizontally evolving convective boundary layer. Part I: Transition regimes and development of the mixed layer. J. Atmos. Sci., 58, 70-86.
17. Fedorovich, E., and Coauthors, 2004: Entrainment into sheared convective boundary layers as predicted by different large eddy simulation codes. Preprints, 16th Symp. on Boundary Layer and Turbulence, Portland, ME, Amer. Meteor. Soc., P4.7.
18. Geurts, B. J., 2001: Modern Simulation Strategies for Turbulent Flow. R. T. Edwards, 327 pp.
19. Geurts, B. J., and J. Fröhlich, 2002: A framework for predicting accuracy limitations in large-eddy simulation. Phys. Fluids, 14, L41-L44.
20. Gibbs, W. R., 2004: A parallel/recursive algorithm. J. Comput. Phys., 201, 573-585.
21. Hatlee, S. C., and J. C. Wyngaard, 2007: Improved subfilter-scale models fromtheHATS field data. J. Atmos. Sci., 64, 1694-1705.
22. Hunt, J. C. R., J. C. Kaimal, and J. E. Gaynor, 1988: Eddy structure in the convective boundary layer-Newmeasurements and new concepts. Quart. J. Roy. Meteor. Soc., 482, 827-858.
23. Jonker, H. J. J., P. G. Duynkerke, and J. W. M. Cuijpers, 1999: Mesoscale fluctuations in scalars generated by boundary layer convection. J. Atmos. Sci., 56, 801-808.
24. Kaltenbach, H.-J., 1997: Cell aspect ratio dependence of anisotropy measures for resolved and subgrid scale stresses. J. Comput. Phys., 136, 399-410.
25. Kanak, K. M., 2005: Numerical simulation of dust devil-scale vortices. Quart. J. Roy. Meteor. Soc., 131, 1271-1292.
26. Klemp, J., and D. Durran, 1983: An upper boundary condition permitting internal gravity wave radiation in numerical mesoscale models. Mon. Wea. Rev., 111, 430-444.
27. Koren, B., 1993: A robust upwind discretization method for advection, diffusion and source terms. Notes on Numerical Fluid Mechanics, Vol. 45, C. B. Vreugdenhil and B. Koren, Eds., Vieweg-Braunschweig, 117-138.
28. Lele, S. K., 1992: Compact finite difference schemes with spectrallike resolution. J. Comput. Phys., 103, 16-42.
29. Lenschow, D. H., J. C. Wyngaard, and W. T. Pennell, 1980: Meanfield and second-moment budgets in a baroclinic, convective boundary layer. J. Atmos. Sci., 37, 1313-1326.
30. Lenschow, D. H., J. Mann, and L. Kristensen, 1994: How long is long enough whenmeasuring fluxes and other turbulence statistics? J. Atmos. Oceanic Technol., 11, 661-673.
31. Lenschow, D. H., M. Lothon, S.D. Mayor, P. P. Sullivan, and G. Canut, 2011:A comparison of higher-order vertical velocity moments in the convective boundary layer from lidar with in situ measurements and LES. Bound.-Layer Meteor., doi:10.1007/s10546-011-9615-3, in press.
32. Lilly, D. K., 1967: The representation of small-scale turbulence in numerical simulation experiments. Proc. IBM Scientific Computing Symp. on Environmental Sciences, Yorktown Heights, NY, International Business Machines, 195-210.
33. Lothon, M., D. H. Lenschow, and S. D. Mayor, 2009: Doppler lidar measurements of vertical velocity spectra in the convective planetary boundary layer. Bound.-Layer Meteor., 132, 205-226.
34. Lothon, M., D. H. Lenschow, G. Canut, S. D. Mayor, and P. P. Sullivan, 2010: Measurements of higher-order turbulence statistics in the daytime convective boundary layer derived from a groundbased Doppler lidar. Proc. Int. Symp. for the Advancement of Boundary Layer Remote Sensing, Paris, France, ISARS. [Available online at http://www.isars2010.uvsq.fr/images/stories/PosterExtAbstracts/P_TUR03_Lothon.pdf.]
35. Lundquist, K. A., F. K. Chow, and J. K. Lundquist, 2010: An immersed boundary method for the Weather Research and Forecasting model. Mon. Wea. Rev., 138, 796-817.
36. Mason, P. J., and A. R. Brown, 1999: On subgrid models and filter operations in large-eddy simulations. J. Atmos. Sci., 56, 2101-2114.
37. Meneveau, C., and J. Katz, 2000: Scale-invariance and turbulence models for large-eddy simulations. Annu. Rev. Fluid Mech., 32, 1-32.
38. Meyers, J., B. J. Geurts, and P. Sagaut, 2007: A computational error-assessment of central finite-volume discretizations in large-eddy simulation using a Smagorinsky model. J. Comput. Phys., 227, 156-173.
39. Michalakes, J., J. Dudhia, D. Gill, T. Henderson, J. Klemp, W. Skamarock, andW.Wang, 2005: The Weather Research and Forecast Model: Software architecture and performance. Proceedings of the Eleventh ECMWF Workshop on the Use of High Performance Computing in Meteorology, W. Zwieflhofer and G. Mozdzynski, Eds., World Scientific, 156-168.
40. Mironov, D. V., 2009: Turbulence in the lower troposphere: Second-order closure and mass-flux modelling frameworks. Interdisciplinary Aspects of Turbulence, W. Hillebrandt and F. Kupka, Eds., Lecture Notes in Physics, Vol. 756, Springer- Verlag, 161-221.
41. Mironov, D. V., V. M. Gryanik, C.-H. Moeng, D. J. Olbers, and T. H. Warncke, 2000: Vertical turbulence structure and secondmoment budgets in convection with rotation: A large-eddy simulation study. Quart. J. Roy. Meteor. Soc., 126, 477-515.
42. Moeng, C.-H., 1984: A large-eddy-simulation model for the study of planetary boundary-layer turbulence. J. Atmos. Sci., 41, 2052-2062.
43. Moeng, C.-H., and J. C. Wyngaard, 1988: Spectral analysis of large-eddy simulations of the convective boundary layer. J. Atmos. Sci., 45, 3573-3587.
44. Moeng, C.-H., and R. Rotunno, 1990: Vertical velocity skewness in the buoyancy-driven boundary layer. J. Atmos. Sci., 47, 1149-1162.
45. Moeng, C.-H.,and P. P. Sullivan, 1994:Acomparison of shear- and buoyancydriven planetary boundary layer flows. J. Atmos. Sci., 51, 999-1022.
46. Moeng, C.-H., and P. P. Sullivan, 2002: Large-eddy simulation. Encyclopedia of Atmospheric Sciences, J.R. Holton, J. Pyle, and J. A. Curry, Eds., Academic Press, 1140-1150.
47. Moeng, C.-H., M. A. LeMone, M. F. Khairoutdinov, S. K. Krueger, P. A. Bogenschutz, and D. A. Randall, 2009: The tropical marine boundary layer under a deep convection system: A large-eddy simulation study. J. Adv. Model. Earth Syst., 1 (16), doi:10.3894/JAMES.2009.1.16.
48. Muschinski, A., 1996: A similarity theory of locally homogenous and isotropic turbulence generated by a Smagorinsky-type LES. J. Fluid Mech., 325, 239-260.
49. National Science Foundation, 2007: Cyberinfrastructure vision for 21st century discovery. Tech. Rep. NSF 07-28, NSF Cyberinfrastructure Council. [Available online at http://www.nsf.gov/pubs/2007/nsf0728/index.jsp.]
50. Nieuwstadt, F. T. M., P. J. Mason, C. H. Moeng, and U. Schumann, 1993: Large-eddy simulation of the convective boundary layer: A comparison of four computer codes. Turbulent Shear Flows 8, F. Durst, Ed., Springer-Verlag, 343-367.
51. Patton, E. G., P. P. Sullivan, and C.-H. Moeng, 2005: The influence of idealized heterogeneity on wet and dry planetary boundary layers coupled to the land surface. J. Atmos. Sci., 62, 2078-2097.
52. Pekurovsky, D., P. K. Yeung, D. Donzis, W. Pfeiffer, and G. Chukkapallli, 2006: Scalability of a pseudospectral DNS turbulence code with 2D domain decomposition on Power41/Federation and Blue Gene systems. ScicomP12 and SP-XXL, Boulder, CO, International Business Machines. [Available online at http://www.spscicomp.org/ScicomP12/Presentations/User/Pekurovsky.pdf.]
53. Pope, S. B., 2000: Turbulent Flows. Cambridge University Press, 771 pp.
54. Raasch, S., and M. Schröter, 2001: PALM-A large-eddy simulationmodel performing onmassively parallel computers.Meteor. Z., 10, 363-372.
55. Schmidt, H., and U. Schumann, 1989: Coherent structure of the convective boundary layer derived from large-eddy simulations. J. Fluid Mech., 200, 511-562.
56. Scotti, A., C. Meneveau, and D. K. Lilly, 1993: Generalized Smagorinsky model for anisotropic grids. Phys. Fluids A, 5, 2306-2308.
57. Silva Lopes, A., and J. M. L. M. Palma, 2002: Numerical simulation of isotropic turbulence using a collocated approach and a nonorthogonal grid system. J. Comput. Phys., 175, 713-738.
58. Spalart, P. R., R. D. Moser, and M. M. Rogers, 1991: Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions. J. Comput. Phys., 96, 297-324.
59. Sreenivasan, K. R., A. Bershadskii, and J. J. Niemela, 2002: Mean wind and its reversal in thermal convection. Phys. Rev. E, 65, 056306, doi:10.1103/PhysRevE.65.056306.
60. Stevens, B., and Coauthors, 2005: Evaluation of large-eddy simulations via observations of nocturnal marine stratocumulus. Mon. Wea. Rev., 133, 1443-1462.
61. Sullivan, P. P., and J. C. McWilliams, 2010: Dynamics of winds and currents coupled to surface waves. Annu. Rev. Fluid Mech., 42, 19-42.
62. Sullivan, P. P., J. C. McWilliams, and C.-H. Moeng, 1994: A subgrid-scale model for large-eddy simulation of planetary boundary-layer flows. Bound.-Layer Meteor., 71, 247-276.
63. Sullivan, P. P., J. C. McWilliams, and C.-H. Moeng, 1996: A grid nesting method for large-eddy simulation of planetary boundary layer flows. Bound.-Layer Meteor., 80, 167-202.
64. Sullivan, P. P., C.-H.Moeng, B. Stevens,D.H. Lenschow, and S. D. Mayor, 1998: Structure of the entrainment zone capping the convective atmospheric boundary layer. J. Atmos. Sci., 55, 3042-3064.
65. Sullivan, P. P., T. W. Horst, D. H. Lenschow, C.-H. Moeng, and J. C. Weil, 2003: Structure of subfilter-scale fluxes in the atmospheric surface layer with application to large-eddy simulation modeling. J. Fluid Mech., 482, 101-139.
66. Sullivan, P. P., J. C. McWilliams, and W. K. Melville, 2007: Surface gravity wave effects in the oceanic boundary layer: Large-eddy simulation with vortex force and stochastic breakers. J. Fluid Mech., 593, 405-452.
67. Sullivan, P. P., J. B. Edson, T. Hristov, and J. C. McWilliams, 2008: Largeeddy simulations and observations of atmospheric marine boundary layers above non-equilibriumsurface waves. J.Atmos. Sci., 65, 1225-1245.
68. Tong, C., J. C. Wyngaard, S. Khanna, and J. G. Brasseur, 1998: Resolvable- and subgrid-scale measurement in the atmospheric surface layer: Technique and issues. J. Atmos. Sci., 55, 3114-3126.
69. Townsend, A. A., 1976: The Structure of Turbulent Shear Flow. Cambridge University Press, 429 pp.
70. Weil, J. C., 1988: Dispersion in the convective boundary layer. Lectures on Air Pollution Modeling, A. Venkatram and J. Wyngaard, Eds., Amer. Meteor. Soc., 167-227.
71. Townsend, A. A., 1990:A diagnosis of the asymmetry in top-down and bottomup diffusion in a Lagrangian stochastic model. J. Atmos. Sci., 47, 501-515.
72. Werne, J., and D. C. Fritts, 1999: Stratified shear turbulence: Evolution and statistics. Geophys. Res. Lett., 26, 439-442.
73. Wyngaard, J. C., 1998: Boundary-layer modeling: History, philosophy, and sociology. Clear and Cloudy Boundary Layers, A. A. M. Holtslag and P. G. Duynkerke, Eds., Royal Netherlands Academy of Arts and Sciences, 325-332.
74. Wyngaard, J. C., 2004a: Changing the face of small-scale meteorology. Atmospheric Turbulence and Mesoscale Meteorology, E. Federovich, R. Rotunno, and B. Stevens, Eds., Cambridge University Press, 17-34.
75. Wyngaard, J. C., 2004b: Toward numerical modeling in the "terra incognita." J. Atmos. Sci., 61, 1816-1826.
76. Wyngaard, J. C., 2010: Turbulence in the Atmosphere. Cambridge University Press, 393 pp.