Resolution requirements for the simulation of deep moist convection

Monthly Weather Review

Volumn 131, Issue 10, 2003, Pages 2394-2416

  Bryan, George H ^a   Wyngaard, John C ^a   Fritsch, J Michael ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLOUDS; COMPUTER SIMULATION; METEOROLOGY; TURBULENCE;

LARGE EDDY SIMULATION (LES);

WEATHER FORECASTING;

ATMOSPHERIC CONVECTION; CIRCULATION MODELING; LARGE EDDY SIMULATION; NAVIER-STOKES EQUATIONS; SENSITIVITY ANALYSIS; SPATIAL RESOLUTION; SQUALL LINE; TURBULENT FLOW;

EID: 0242583091     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(2003)131<2394:RRFTSO>2.0.CO;2     Document Type: Article

References (48)

1. Adlerman, E. J., and K. K. Droegemeier, 2002: The sensitivity of numerically simulated cyclic mesocyclogenesis to variations in model physical and computational parameters. Mon. Wea. Rev., 130, 2671-2691.
2. Bechtold, P., and Coauthors, 2000: A GCSS intercomparison for a tropical squall line observed during TOGA-COARE. II: Intercomparison of single-column models and a cloud-resolving model. Quart. J. Roy. Meteor. Soc., 126, 865-888.
3. Bluestein, H. B., 1986: Fronts and jet streaks: A theoretical perspective. Mesoscale Meteorology and Forecasting, P. S. Ray, Ed., Amer. Meteor. Soc., 173-215.
4. Browning, K. A., and the GEWEX Cloud System Science Team, 1993: The GEWEX Cloud System Study (GCSS). Bull. Amer. Meteor. Soc., 74, 387-399.
5. Bryan, G. H., 2002: An investigation of the convective region of numerically simulated squall lines. Ph.D. thesis, The Pennsylvania State University, 181 pp.
6. Bryan, G. H., and J. M. Fritsch, 2000: Moist absolute instability: The sixth static stability state. Bull. Amer. Meteor. Soc., 81, 1207-1230.
7. Bryan, G. H., and J. M. Fritsch, 2001: On adequate resolution for the simulation of deep moist convection: Theory and preliminary simulations. Preprints, Ninth Conf. on Mesoscale Processes, Fort Lauderdale, FL, Amer. Meteor. Soc., 288-292.
8. Bryan, G. H., and J. M. Fritsch, 2002: A benchmark simulation for moist nonhydrostatic numerical models. Mon. Wea. Rev., 130, 2917-2928.
9. Corrsin, S., 1961: Turbulent flow. Amer. Sci., 49, 300-325.
10. Cotton, W. R., 1975: Theoretical cumulus dynamics. Rev. Geophys. Space Phys., 13, 419-448.
11. Deardorff, J. W., 1970a: A three-dimensional numerical study of turbulent channel flow at large Reynolds numbers. J. Fluid Mech., 41, 453-480.
12. Deardorff, J. W., 1970b: Preliminary results from numerical integrations of the unstable boundary layer. J. Atmos. Sci., 27, 1209-1211.
13. Deardorff, J. W., 1970c: Convective velocity and temperature scales for the unstable planetary boundary layer and for Rayleigh convection. J. Atmos. Sci., 27, 1211-1213.
14. Deardorff, J. W., 1980: Stratocumulus-capped mixed layer derived from a three-dimensional model. Bound.-Layer Meteor., 18, 495-527.
15. Droegemeier, K. K., G. Bassett, and M. Xue, 1994: Very high-resolution, uniform-grid simulations of deep convection on a massively parallel computer: Implications for small-scale predictability. Preprints, 10th Conf. on Numerical Weather Prediction, Portland, OR. Amer. Meteor. Soc., 376-379.
16. Droegemeier, K. K., G. Bassett, and D. K. Lilly, 1996: Does helicity really play a role in supercell longevity? Preprints, 18th Conf. on Severe Local Storms, San Francisco, CA. Amer. Meteor. Soc., 205-209.
17. Droegemeier, K. K., Y. P. Richardson, G. M. Bassett, and A. Marroquin, 1997: Three-dimensional numerical simulations of turbulence generated in the near-environment of deep convective storms. Preprints, Seventh Conf. on Aviation, Range, and Aerospace Meteorology, Long Beach, CA, Amer. Meteor. Soc., 169-174.
18. Durran, D. R., 1999: Numerical Methods for Wave Equations in Geophysical Fluid Dynamics. Springer-Verlag, 465 pp.
19. Durran, D. R., and J. B. Klemp, 1983: A compressible model for the simulation of moist mountain waves. Mon. Wea. Rev., 111, 2341-2361.
20. Gilmore, M. S., J. M. Straka, and E. N. Rasmussen, 2003: Precipitation and evolution sensitivity in simulated deep convective storms: Comparisons between liquid-only and simple ice and liquid phase microphysics. Mon. Wea. Rev., submitted.
21. Grabowski, W. W., X. Wu, M. W. Moncrieff, and W. D. Hall, 1998: Cloud-resolving modeling of cloud systems during Phase III of GATE. Part II: Effects of resolution and the third spatial dimension. J. Atmos. Sci., 55, 3264-3282.
22. Harris, D., E. Foufoula-Georgiou, K. K. Droegemeier, and J. J. Levit, 2001: Multiscale statistical properties of a high-resolution precipitation forecast. J. Hydrometer., 2, 406-418.
23. Kessler, E., 1969: On the Distribution and Continuity of Water Substance in Atmospheric Circulation, Meteor. Monogr., No. 32, Amer. Meteor, Soc., 84 pp.
24. Klemp, J. B., and R. B. Wilhelmson, 1978: The simulation of three-dimensional convective storm dynamics. J. Atmos. Sci., 35, 1070-1096.
25. Kolmogorov, A. N., 1941: The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Dokl. ANSSSR, 30, 301-305.
26. Larson, V. E., R. Wood, P. R. Field, J.-C. Golaz, T. H. Vonder Haar, and W. R. Cotton, 2001: Systematic biases in the microphysics and thermodynamics of numerical models that ignore subgrid-scale variability. J. Atmos. Sci., 58, 1117-1128.
27. Leonard, A., 1974: Energy cascade in large-eddy simulations of turbulent flows. Advances in Geophysics, Vol. 18A, Academic Press, 237-248.
28. Lilly, D. K., 1967: The representation of small-scale turbulence in numerical simulation experiments. Proc. IBM Scientific Symp. on Environmental Sciences, Yorktown Heights, NY, IBM DP Division, 195-210.
29. Lilly, D. K., G. Bassett, K. Droegemeier, and P. Bartello, 1998: Stratified turbulence in the atmospheric mesoscales. Theor. Comput. Fluid Dyn., 11, 139-153.
30. Mason, P. J., and D. J. Thompson, 1992: Stochastic backscatter in large-eddy simulations of boundary layers. J. Fluid Mech., 242, 51-78.
31. Mason, P. J., and A. R. Brown, 1999: On subgrid models and filter operations in large eddy simulations. J. Atmos. Sci., 56, 2101-2114.
32. Moeng, C.-H., 1984: A large-eddy-simulation model for the study of planetary boundary-layer turbulence. J. Atmos. Sci., 41, 2052-2062.
33. Petch, J. C., and M. E. B. Gray, 2001: Sensitivity studies using a cloud-resolving model simulation of the tropical west Pacific. Quart. J. Roy. Meteor. Soc., 127, 2287-2306.
34. Petch, J. C., A. R. Brown, and M. E. B. Gray, 2002: The impact of horizontal resolution on the simulations of convective development over land. Quart. J. Roy. Meteor. Soc., 128, 2031-2044.
35. Redelsperger, J. L., and G. Sommeria, 1986: Three-dimensional simulation of a convective storm: Sensitivity studies on subgrid parameterization and spatial resolution. J. Atmos. Sci., 43, 2619-2635.
36. Redelsperger, J. L., and Coauthors, 2000: A GCSS model intercomparison for a tropical squall line observed during TOGA-COARE. I: Cloud-resolving models. Quart. J. Roy. Meteor. Soc., 126, 823-863.
37. Rogallo, R. S., and P. Moin, 1984: Numerical simulation of turbulent flows. Ann. Rev. Fluid Mech., 16, 99-137.
38. Smagorinsky, J., 1963: General circulation experiments with the primitive equations. Mon. Wea. Rev., 91, 99-164.
39. Stevens, B., R. L. Walko, W. R. Cotton, and G. Feingold, 1996: The spurious production of cloud-edge supersaturations by Eulerian models. Mon. Wea. Rev., 124, 1034-1041.
40. Stevens, D. E., A. S. Ackerman, and C. S. Bretherton, 2002: Effects of domain size and numerical resolution on the simulation of shallow cumulus convection. J. Atmos. Sci., 59, 3285-3301.
41. Straka, J. M., R. B. Wilhelmson, L. J. Wicker, J. R. Anderson, and K. K. Wilhelmson, 1993: Numerical solutions of a non-linear density current: A benchmark solution and comparisons. Int. J. Numer. Methods Fluids, 17, 1-22.
42. Tannehill, J. C., D. A. Anderson, and R. H. Pletcher, 1997: Computational Fluid Mechanics and Heat Transfer. Taylor & Francis, 792 pp.
43. Tennekes, H., and J. L. Lumley, 1972: A First Course in Turbulence. M.I.T Press, 300 pp.
44. Weisman, M. L., and J. B. Klemp, 1982: The dependence of numerically simulated convective storms on vertical wind shear and buoyancy. Mon. Wea. Rev., 110, 504-520.
45. Weisman, M. L., W. C. Skamarock, and J. B. Klemp, 1997: The resolution dependence of explicitly modeled convective systems. Mon. Wea. Rev., 125, 527-548.
46. Wicker, L. J., and W. C. Skamarock, 2002: Time splitting methods for elastic models using forward time schemes. Mon. Wea. Rev., 130, 2088-2097.
47. Wilhelmson, R. B., and L. J. Wicker, 2001: Numerical modeling of severe local storms. Severe Convective Storms, Meteor. Monogr., No. 50, Amer. Meteor. Soc., 123-166.
48. Wyngaard, J. C., 1982: Boundary layer modeling. Atmospheric Turbulence and Air Pollution Modelling, F. T. M. Nieuwstadt and H. van Dop, Eds., Reidel, 69-106.