A stochastic multicloud model for tropical convection

Communications in Mathematical Sciences

Volumn 8, Issue 1, 2010, Pages 187-216

  Khouider, Boualem ^a   Biello, Joseph ^b   Majda, Andrew J ^c  

^a UNIVERSITY OF VICTORIA   (Canada)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c NEW YORK UNIVERSITY   (United States)

Author keywords

CAPE; Climate modeling; Clouds; Convective parametrization; Markov chains; Moisture; Stochastic modeling; Tropical convection

Indexed keywords

EID: 77954694843     PISSN: 15396746     EISSN: None     Source Type: Journal    
DOI: 10.4310/cms.2010.v8.n1.a10     Document Type: Article

References (56)

1. R. Buizza, M. Miller and T.N. Palmer, Stochastic representation of model uncertainties in the ECWMF Ensemble Prediction System, Q.J.R. Meteorol. Soc., 125, 2887-2908, 1999.
2. D. Crommelin and E. Vanden Eijden, Subgrid scale parametrization with conditional Markov chains, J. Atmos. Sci., 65, 2661-2675, 2008.
3. T.J. Dunkerton and F.X. Crum, Eastward propagating 2-to 15-day equatorial convection and its relation to the tropical intraseasonal oscillation, J. Geophys. Res., 100, 25781-25790, 1995.
4. K.A. Emanual, Atmospheric Convection, Oxford, 1994.
5. D.T. Gillespie, An exact method for numerically simulating the stochastic coalescence process in a cloud, J. Atmos. Sci., 32, 1977-1989, 1975.
6. D.T. Gillespie, Exact stochastic simulation of coupled chemical reactions, J. Phys. Chem., 81, 2341-2361, 1977.
7. H. Hendon and B. Liebmann, Organization of convection within the Madden-Julian Oscillation, J. Geophys. Res., 99, 8073-8083, 1994.
8. D.J. Horntrop, M.A. Katsoulakis and D.G. Vlachos, Spectral methods for mesoscopic models of pattern formation, J. Comp. Phys., 173, 361-390, 2001.
9. R.A. Houze, Stratiform precipitation in regions of convection: a meteorological paradox? Bull. Amer. Meteor. Soc., 78, 2179-2196, 1997.
10. R.H. Johnson, T.M. Rickenbach, S.A. Rutledge, P.E. Ciesielski and W.H. Schubert, Trimodal characteristics of tropical convection, J. Climate, 12, 2397-2407, 1999.
11. M.A. Katsoulakis, A.J. Majda and A. Sopasakis, Multiscale coupling in prototype hybrid deterministic/stochastic systems. Part I: deterministic closures, Commun. Math. Sci., 2, 255-294, 2004.
12. M.A. Katsoulakis, A.J. Majda and A. Sopasakis, Multiscale coupling in prototype hybrid deterministic/stochastic systems. Part II: stochastic closures, Commun. Math. Sci., 3, 453-478, 2005.
13. M.A. Katsoulakis, A.J. Majda and A. Sopasakis, Intermittency, metastability, and coarse graining for coupled deterministic stochastic lattice systems, Nonlinearity, 19, 1021-1047, 2006.
14. M.A. Katsoulakis, A.J. Majda and A. Sopasakis, Prototype hybrid couplings of macroscopic deterministic models and microscopic stochastic lattice dynamics, Contemporary Mathematics, 429, 143-187, 2007.
15. M.A. Katsoulakis and D.G. Vlachos, From microscopic interactions to macroscopic laws of cluster evolution, Phys. Rev. Lett., 84, 1511-1514, 2000.
16. M.A. Katsoulakis and P.E. Souganidis, Stochastic Ising models and anisotropic front propagation, J. Stat. Phys., 87, 63-89, 1997.
17. M.A. Katsoulakis and D.G. Vlachos, Hierarchical kinetic Monte Carlo simulations for diffusion of interacting molecules, J. Chem. Phys., 112, 9412-9427, 2003.
18. M.A. Katsoulakis, A.J. Majda and G.D. Vlachos, Coarse-grained stochastic processes for microscopic lattice systems, Proc. Nat. Acad. Sci. USA, 100, 782-787, 2003.
19. M.A. Katsoulakis, A.J. Majda and G.D. Vlachos, Coarse-grained stochastic processes and Monte Carlo simulations in lattice systems, J. Comp. Phys., 186, 250-278, 2003.
20. B. Khouider and A.J. Majda, A simple multicloud parametrization for convectively coupled tropical waves. Part I: linear analysis, J. Atmos. Sci, 63, 1308-1323, 2006.
21. B. Khouider and A.J. Majda, Model multicloud parametrizations with crude vertical structure, Theoretical and Computational Fluid Dynamics, Special Issue: Theoretical developments in tropical meteorology, 20, 351-375, 2006.
22. B. Khouider and A.J. Majda, A simple multicloud parametrization for convectively coupled tropical waves. Part II: nonlinear simulations, J. Atmos. Sci., 64, 381-400, 2007.
23. B. Khouider and A.J. Majda, Multicloud models for tropical convection: enhanced congestus heating, J. Atmos. Sci., 65, 895-914, 2008.
24. B. Khouider and A.J. Majda, Equatorial convectively coupled waves in a simple multicloud model, J. Atmos. Sci., 65, 3376-3397, 2008.
25. B. Khouider, A.J. Majda and M. Katsoulakis, Coarse grained stochastic models for tropical convection, Proc. Nat. Acad. Sci. USA, 100, 11941-11946, 2003.
26. G.N. Kiladis, K.H. Straub and P. Haertl, Zonal and vertical structure of the Madden-Julian oscillation, J. Atmos. Sci., 62, 2790-2809, 2005.
27. G.N. Kiladis, M.C. Wheeler, P.T. Haertel, K.H. Straub and P.E. Roundy, Convectively coupled equatorial waves, Reviews of Geophysics, 47, RG2003, doi:1029/2008R000266, 2008.
28. G. Lawler, Introduction to stochastic processes, Chapman & Hall/CRC, 192, 1995.
29. X. Lin and R.H. Johnson, Kinematic and thermodynamic characteristics of the flow over the Western Pacific Warm Pool during TOGA COARE, J. Atmos. Sci., 53, 695-715, 1996.
30. R. Madden and P. Julian, Description of global scale circulation cells in tropics with a 40-50 day period, J. Atmos. Sci., 29, 1109-1123, 1972.
31. R.A. Madden and P. Julian, Observations of the 40-50 day tropical oscillation - a review, Mon. Weather Rev., 122, 814-837, 1994.
32. A.J. Majda, B. Khouider, G.N. Kiladis, K.H. Straub and M.G. Shefter, A model for convectively coupled tropical waves: Nonlinearity, rotation, and comparison with observations, J. Atmos. Sci., 61, 2188-2205, 2004.
33. A. Majda and M. Shefter, Waves and instabilities for model tropical convective parametrizations, J. Atmos. Sci., 58, 896-914, 2001.
34. A.J. Majda, New multiscale models and self-similarity in tropical convection, J. Atmos. Sci., 1393-1404, 2007.
35. A.J. Majda and B. Khouider, Stochastic and mesoscopic models for tropical convection, Proc. Nat. Acad. Sci., 99, 1123-1128, 2002.
36. A.J. Majda, C. Franzke and B. Khouider, An applied mathematics perspective on stochastic modelling for climate, Phil. Trans. Roy. Soc. A, 366, 2429-2455, 2008.
37. A.J. Majda and S. Stechmann, Stochastic models for convective momentum transport, Proc. Nat. Acad. Sci., 105, 17614-17619, 2008.
38. A.J. Majda, S. Stechmann, and B. Khouider, An MJO analog and intraseasonal variability in a multi-cloud model above the equator, Proc. Nat. Acad. Sci. USA, 104, 9919-9924, 2007.
39. B.E. Mapes, Convective inhibition, subgridscale triggering energy, and " stratiform instability" in a toy tropical wave model, J. Atmos. Sci., 57, 1515-1535, 2000.
40. B.E. Mapes, S.N. Tulich, J. Lin and P. Zuidema, The mesoscale convection life cycle: building block or prototype for large-scale tropical waves? Dyn. Atmos. Oceans., Special Issue: Atmospheric Convection and Wave Interactions: Convective Life Cycles and Scale Interactions in Tropical Waves, 42, 3-29, 2006.
41. M.W. Moncrieff and C. Liu, Representing convective organization in prediction models by a hybrid strategy, J. Atmos. Sci., 63, 3404-3420, 2006.
42. M.W. Moncrieff, Organized convective systems: Archetypal dynamical models, mass and momentum flux theory, and parametrization, Quart. J. Roy. Meteorol. Soc., 118, 819-850, 1992.
43. M.W. Moncrieff, Analytic representation of the large-scale organization of tropical convection, J. Atmos. Sci., 61, 1521-1538, 2004.
44. T. Nakazawa, Tropical super clusters within intraseasonal variations over the western Pacific, J. Meteor. Soc. Japan, 66, 823-839, 1988.
45. J.W.B. Lin and D. Neelin, Toward stochastic deep convective parameterization in general circulation models, Geophy. Res. Lett., 27, 3691-3694, 2000.
46. J.W.B. Lin and D. Neelin, Influence of a stochastic moist convective parameterization on tropical climate variability, Geophys. Res. Lett., 30, 1162-1165, 2003.
47. J.M. Slingo and 21 co-authors, Intraseasonal oscillation in 15 atmospheric general circulation models: results from an AMIP diagnostic subproject, Climate Dyn., 12, 325-357, 1996.
48. K.H. Straub and G.N. Kiladis, The observed structure of convectively coupled Kelvin waves: comparison with simple models of coupled wave instability, J. Atmos. Sci., 60, 1655-1668, 2003.
49. Y.N. Takayabu and M. Murakami, The structure of super cloud clusters observed in 1-20 June 1986 and their relationship to easterly waves, J. Meteor. Soc. Japan, 69, 105-125, 1991.
50. Y.N. Takayabu, Large-scale cloud disturbances associated with equatorial waves. Part I: spectral features of the cloud disturbances, J. Meteor. Soc. Japan, 72, 433-448, 1994.
51. S.N. Tulich and B.E. Mapes, On the genesis and evolution of multi-scale convective wave patterns in a two-dimensional cloud-resolving model, J. Atmos. Sci., 65, 140-155, 2008.
52. S.N. Tulich, D.A. Randall and B.E. Mapes, Vertical-mode and cloud decomposition of large-scale convectively coupled gravity waves in a two-dimensional cloud-resolving model, J. Atmos. Sci., 64, 1210-1229, 2007.
53. M. Wheeler and G.N. Kiladis, Convectively coupled equatorial waves: analysis of clouds and temperature in the wavenumber-frequency domain, J. Atmos. Sci., 56, 374-399, 1999.
54. M. Wheeler, G.N. Kiladis and P.J. Webster, Large scale dynamical fields associated with convectively coupled equatorial waves, J. Atmos. Sci., 57, 613-640, 2000.
55. E.J. Zipser, The role of organized unsaturated convective downdrafts in the structure and rapid decay of an equatorial disturbance, J. Appl. Meteor., 8, 799-814, 1969.
56. E.J. Zipser, R.J. Meitin and M.A. LeMone, Mesoscale motion fields in association with a GATE convection band, J. Atmos. Sci., 38 , 1725-1750, 1981.