Using the stochastic multicloud model to improve tropical convective parameterization: A paradigmexample

Journal of the Atmospheric Sciences

Volumn 69, Issue 3, 2012, Pages 1080-1105

  Frenke, Yevgeniy ^a   Majda, Andrew J ^a   Khouider, Boualem ^b  

^a NEW YORK UNIVERSITY   (United States)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Convective parameterization; Deep convection; General circulation models; Kelvin waves; Stochastic models; Tropical variabilty

Indexed keywords

CLOUD TYPES; COARSE GRID; COHERENT STRUCTURE; COUPLED WAVES; DEEP CONVECTION; GENERAL CIRCULATION MODELS; HIGH VARIABILITY; KELVIN WAVES; MESOSCALE CONVECTIVE SYSTEM; PARAMETERIZATIONS; ROTATION EFFECT; SEA SURFACE TEMPERATURE GRADIENTS; SINGLE-COLUMN MODEL; SQUALL LINES; STATISTICAL STRUCTURES; TROPICAL CONVECTION; TROPICAL VARIABILTY;

COASTAL ZONES; PARAMETERIZATION; STOCHASTIC SYSTEMS; STORMS; TROPICAL ENGINEERING;

STOCHASTIC MODELS;

ATMOSPHERIC CONVECTION; ATMOSPHERIC GENERAL CIRCULATION MODEL; KELVIN WAVE; NUMERICAL MODEL; PARAMETERIZATION; STOCHASTICITY;

EID: 84858255137     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/JAS-D-11-0148.1     Document Type: Article

References (57)

1. Arakawa, A., and W. H. Schubert, 1974: Interaction of a cumulus cloud ensemble with the large-scale environment, Part I. J. Atmos. Sci., 31, 674-701.
2. Betts, A. K., andM. J. Miller, 1986: A new convective adjustment scheme. Part II: Single column tests using GATE wave, BOMEX, ATEX and arctic air-mass data sets. Quart. J. Roy. Meteor. Soc., 112, 693-709.
3. Buizza, R., M.Miller, and T. N. Palmer, 1999: Stochastic representation of model uncertainties in the ECMWF Ensemble Prediction System. Quart. J. Roy. Meteor. Soc., 125, 2887-2908.
4. Gillespie, D. T., 1975: An exact method for numerically simulating the stochastic coalescence process in a cloud. J. Atmos. Sci., 32, 1977-1989.
5. Gillespie, D. T, 1977: Exact stochastic simulation of coupled chemical reactions. J. Phys. Chem., 81, 2340-2361.
6. Grabowski, W. W., 2001: Coupling cloud processes with the largescale dynamics using the cloud-resolving convection parameterization (CRCP). J. Atmos. Sci., 58, 978-997.
7. Grabowski, W. W., 2003: MJO-like systems and moisture-convection feedback in idealized aquaplanet simulations. Proc.Workshop on Simulation and Prediction of Intraseasonal Variability with Emphasis on the MJO, Reading, United Kingdom, CLIVAR/ECMWF, 67-72. [Available online at http://www.ecmwf.int/publications/library/ecpublications/_pdf/workshop/2003/MJO/ws_mjo_grabowski.pdf.]
8. Grabowski, W. W., 2004: An improved framework for superparameterization. J. Atmos. Sci., 61, 1940-1952.
9. Grabowski, W. W., and P. K. Smolarkiewicz, 1999: CRCP: A cloud resolving convection parameterization for modeling the tropical convecting atmosphere. Physica D, 133, 171-178.
10. Grabowski, W. W., J.-I. Yano, and M. W. Moncrieff, 2000: Cloud resolving modeling of tropical circulations driven by large-scale SST gradients. J. Atmos. Sci., 57, 2022-2040.
11. Han, Y., and B. Khouider, 2010: Convectively coupled waves in a sheared environment. J. Atmos. Sci., 67, 2913-2942.
12. Hendon, H. H., and B. Liebmann, 1994: Organization of convection within the Madden-Julian oscillation. J. Geophys. Res., 99, 8073-8084.
13. Horenko, I., 2011: Nonstationarity in multifactormodels of discrete jump processes, memory, and application to cloud modeling. J. Atmos. Sci., 68, 1493-1506.
14. Johnson, R. H., T. M. Rickenbach, S. A. Rutledge, P. E. Ciesielski, and W. H. Schubert, 1999: Trimodal characteristics of tropical convection. J. Climate, 12, 2397-2418.
15. Kain, J. S., and J. M. Fritsch, 1990: A one-dimensional entraining/detraining plume model and its application in convective parameterization. J. Atmos. Sci., 47, 2784-2802.
16. Katsoulakis, M. A., A. J. Majda, and D. G. Vlachos, 2003a: Coarsegrained stochastic processes for microscopic lattice systems. Proc. Natl. Acad. Sci. USA, 100, 782-787.
17. Katsoulakis, M. A., A. J. Majda, and D. G. Vlachos, 2003b: Coarse-grained stochastic processes and Monte Carlo simulations in lattice systems. J. Comput. Phys., 186, 250-278.
18. Khouider B, and A. J. Majda, 2005a: A non oscillatory balanced scheme for an idealized tropical climate model; Part I: Algorithm and validation. Theor. Comput. Fluid Dyn., 19, 331-354.
19. Khouider B, and A. J. Majda, 2005b: A non oscillatory balanced scheme for an idealized tropical climate model; Part II: Nonlinear coupling and moisture effects. Theor. Comput Fluid Dyn., 19, 355-375.
20. Khouider B, and A. J. Majda, 2006a: Multicloud convective parametrizations with crude vertical structure. Theor. Comput. Fluid Dyn., 20, 351-375.
21. Khouider B, and A. J. Majda, 2006b: A simple multicloud parameterization for convectively coupled tropical waves. Part I: Linear analysis. J. Atmos. Sci., 63, 1308-1323.
22. Khouider B, and A. J. Majda, 2007: A simple multicloud parameterization for convectively coupled tropical waves. Part II: Nonlinear simulations. J. Atmos. Sci., 64, 381-400.
23. Khouider B, and A. J. Majda, 2008a: Equatorial convectively coupled waves in a simple multicloud model. J. Atmos. Sci., 65, 3376-3397.
24. Khouider B, and A. J. Majda, 2008b: Multicloud models for organized tropical convection: Enhanced congestus heating. J. Atmos. Sci., 65, 895-914.
25. Khouider B, A. J. Majda, and M. A. Katsoulakis, 2003: Coarse-grained stochastic models for tropical convection and climate. Proc. Natl. Acad. Sci. USA, 100, 11 941-11 946.
26. Khouider B, J. Biello, and A. Majda, 2010: A stochastic multicloud model for tropical convection. Commun. Math. Sci., 8, 187-216.
27. Khouider B, A. St-Cyr, A. J. Majda, and J. Tribbia, 2011: The MJO and convectively coupled waves in a coarse-resolution GCM with a simple multicloud parameterization. J. Atmos. Sci., 68, 240-264.
28. Khouider B, Y. Han, and J. Biello, 2012: Convective momentum transport in a simple multicloud model. J. Atmos. Sci., 69, 281-302.
29. Kiladis, G. N., K. H. Straub, and P. T. Haertel, 2005: Zonal and vertical structure of the Madden-Julian oscillation. J. Atmos. Sci., 62, 2790-2809.
30. Kuo, H. L., 1974: Further studies of the parameterization of the influence of cumulus convection on large-scale flow. J. Atmos. Sci., 31, 1232-1240.
31. Lau, W. K. M., and D. E. Waliser, 2005: Intraseasonal Variability in the Atmosphere-Ocean Climate System. Springer-Verlag, 436 pp.
32. Lin, J.-L., and Coauthors, 2006: Tropical intraseasonal variability in 14 IPCC AR4 climate models. Part I: Convective signals. J. Climate, 19, 2665-2690.
33. Lin, J. W.-B., and J. D. Neelin, 2000: Influence of a stochastic moist convective parameterization on tropical climate variability. Geophys. Res. Lett., 27, 3691-3694.
34. Lin, J. W.-B., and J. D. Neelin, 2003: Toward stochastic deep convective parameterization in general circulation models. Geophys. Res. Lett., 30, 1162, doi:10.1029/2002GL016203.
35. Majda, A. J., 2007: Multiscale models with moisture and systematic strategies for superparameterization. J. Atmos. Sci., 64, 2726- 2734.
36. Majda, A. J., and B. Khouider, 2002: Stochastic and mesoscopic models for tropical convection.Proc.Natl.Acad. Sci. USA, 99, 1123- 1128.
37. Majda, A. J., and S. N. Stechmann, 2008: Stochastic models for convective momentum transport. Proc. Natl. Acad. Sci. USA, 105, 17 614- 17 619.
38. Majda, A. J., and S. N. Stechmann, 2009: A simple dynamical model with features of convective momentum transport. J. Atmos. Sci., 66, 373- 392.
39. Majda, A. J., C. Franzke, and B. Khouider, 2008: An applied mathematics perspective on stochastic modelling for climate. Philos. Trans. Roy. Soc., 366A, 2427-2453.
40. Manabe, S., J. Smagorinsky, and R. F. Strickler, 1965: Simulated climatology of a general circulation model with a hydrologic cycle 1. Mon. Wea. Rev., 93, 769-798.
41. Mapes, B. E., 2000: Convective inhibition, subgrid-scale triggering energy, and stratiform instability in a toy tropical wave model. J. Atmos. Sci., 57, 1515-1535.
42. Mapes, B. E., S. Tulich, J. Lin, and P. Zuidema, 2006: The mesoscale convection life cycle: Building block or prototype for large-scale tropical waves? Dyn. Atmos. Oceans, 42, 3-29.
43. Moncrieff, M., and E. Klinker, 1997: Organized convective systems in the tropical western Pacific as a process in general circulation models: A TOGA COARE case-study. Quart. J. Roy. Meteor. Soc., 123, 805-827.
44. Moncrieff, M., M. Shapiro, J. Slingo, and F. Molteni, 2007: Collaborative research at the intersection of weather and climate. WMO Bull., 56, 204-211.
45. Nakazawa, T., 1974: Tropical super clusters within intraseasonal variation over the western Pacific. J. Meteor. Soc. Japan, 66, 823-839.
46. Palmer, T. N., 2001: A nonlinear dynamical perspective on model error: A proposal for non-local stochastic-dynamic parametrization in weather and climate prediction models. Quart. J. Roy. Meteor. Soc., 127, 279-304.
47. Randall, D., M. Khairoutdinov, A. Arakawa, and W. Grabowski, 2003: Breaking the cloud parameterization deadlock. Bull. Amer. Meteor. Soc., 84, 1547-1564.
48. Schumacher, C., andR.Houze, 2003: Stratiform rain in the tropics as seen by the TRMM precipitation radar. J. Climate, 16, 1739-1756.
49. Scinocca, J. F., and N. A. McFarlane, 2004: The variability of modeled tropical precipitation. J. Atmos. Sci., 61, 1993-2015.
50. Slingo, J. M., and Coauthors, 1996: Intraseasonal oscillations in 15 atmospheric general circulation models: Results from an AMIP diagnostic subproject. Climate Dyn., 12, 325-357.
51. Stechmann, S. N., and J. D. Neelin, 2011:Astochastic model for the transition to strong convection. J. Atmos. Sci., 68, 2955-2970.
52. Takayabu, Y. N., 1994: Large-scale cloud disturbances associated with equatorial waves. Part I: Spectral features of the cloud disturbances. J. Meteor. Soc. Japan, 72, 433-448.
53. Waite, M. L., and B. Khouider, 2009: Boundary layer dynamics in a simple model for convectively coupled gravity waves. J. Atmos. Sci., 66, 2780-2795.
54. Wheeler, M., and G. N. Kiladis, 1999: Convectively coupled equatorial waves: Analysis of clouds and temperature in the wavenumber-frequency domain. J. Atmos. Sci., 56, 374-399.
55. Xing, Y., A. J. Majda, and W. W. Grabowski, 2009: New efficient sparse space-time algorithms for superparameterization on mesoscales. Mon. Wea. Rev., 137, 4307-4324.
56. Zhang, C., 2005: Madden-Julian oscillation. Rev. Geophys., 43, RG2003, doi:10.1029/2004RG000158.
57. Zhang, G. J., and N. A. McFarlane, 1995: Role of convective-scale momentum transport in climate simulation. J. Geophys. Res., 100, 1417-1426.