Moist multi-scale models for the hurricane embryo

Journal of Fluid Mechanics

Volumn 657, Issue , 2010, Pages 478-501

  Majda, Andrew J ^a   Xing, Yulong ^b,c   Mohammadian, Majid ^d  

^a NEW YORK UNIVERSITY   (United States)

^b OAK RIDGE NATIONAL LABORATORY   (United States)

^c UNIVERSITY OF TENNESSEE   (United States)

^d UNIVERSITY OF OTTAWA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

HURRICANES; MOISTURE; NONLINEAR EQUATIONS; PRECIPITATION (METEOROLOGY); THERMODYNAMICS; TROPICS; VORTEX FLOW;

APPLIED MATHEMATICS; ASYMPTOTIC METHOD; AXISYMMETRIC PLUMES; BALANCED EQUATIONS; MESOSCALE VORTICES; SIMPLIFIED EQUATIONS; TROPICAL CYCLOGENESIS; VERTICAL VORTICITY;

SHEAR FLOW;

CYCLOGENESIS; HEAT SOURCE; HURRICANE; HYDRODYNAMICS; MESOSCALE EDDY; NONLINEARITY; THERMODYNAMICS; VORTICITY;

BROME MOSAIC VIRUS;

EID: 77957112057     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010001515     Document Type: Article

References (32)

1. Biello, J. A. & Majda, A. J. 2005 A new multiscale model for the Madden-Julian oscillation. J. Atmos. Sci. 62, 1694-1721.
2. Biello, J. A. & Majda, A. J. 2006 Modulating synoptic scale convective activity and boundary layer dissipation in the IPESD models of the Madden-Julian oscillation. Dyn. Atmos. Oceans 42, 152-215.
3. Biello, J. A. & Majda, A. J. 2009 Intraseasonal multi-scale moist dynamics of the tropical troposphere. Commun. Math. Sci. 8, 519-540.
4. Biello, J. A., Majda, A. J. & Moncrieff, M. W. 2007 Meridional momentum flux and superrotation in the multi-scale IPESD MJO model. J. Atmos. Sci. 64, 1636-1651.
5. Dunkerton, T. J., Montgomery, M. T. & Wang, Z. 2008 Tropical cyclogenesis in a tropical wave critical layer: easterly waves. Atmos. Chem. Phys. Discuss. 8, 11149-11292.
6. Emanuel, K. A. 1989 The finite-amplitude nature of tropical cyclogenesis. J. Atmos. Sci. 46, 3431-3456.
7. Emanuel, K. A. 1994 Atmospheric Convection. Oxford University Press.
8. Frank, W. M. & Roundy, P. E. 2006 The role of tropical waves in tropical cyclogenesis. Mon. Wea. Rev. 134, 2397-2417.
9. Grabowski, W. W. 2001 Coupling cloud processes with the large-scale dynamics using the cloud-resolving convection parameterization (CRCP). J. Atmos. Sci. 58, 978-997.
10. Grabowski, W. W. 2004 An improved framework for superparameterization. J. Atmos. Sci. 61, 1940-1952.
11. Grabowski, W. W. & Smolarkiewicz, P. K. 1996 Two-time-level semi-Lagrangian modeling of precipitating clouds. Mon. Weather Rev. 124, 487-497.
12. Hendricks, E. A., Montgomery, M. T. & Davis, C. A. 2004 The role of "vortical" hot towers in the formation of tropical cyclone Diana (1984). J. Atmos. Sci. 61, 1209-1232.
13. Klein, R. 2000 Asymptotic analyses for atmospheric flows and the construction of asymptotically adaptive numerical methods. Z. Angew. Math. Mech. 80, 765-777.
14. Klein, R. & Majda, A. J. 2006 Systematic multiscale models for deep convection on mesoscales. Theor. Comput. Fluid Dyn. 20, 525-551.
15. Lipps, F. B. & Hemler, R. S. 1982 A scale analysis of deep moist convection and some related numerical calculations. J. Atmos. Sci. 39, 2192-2210.
16. Majda, A. J. 2003 Introduction to PDEs and Waves for the Atmosphere and Ocean. Courant Lecture Notes in Mathematics, vol.9. American Mathematical Society.
17. Majda, A. J. 2007a Multiscale models with moisture and systematic strategies for superparameterization. J. Atmos. Sci. 64, 2726-2734.
18. Majda, A. J. 2007b New multiscale models and self-similarity in tropical convection. J. Atmos. Sci. 64, 1393-1404.
19. Majda, A. J. & Biello, J. A. 2004 A multiscale model for tropical intraseasonal oscillation. Proc. Natl Acad. Sci. USA 101, 4736-4741.
20. Majda, A. J. & Klein, R. 2003 Systematic multiscale models for the tropics. J. Atmos. Sci. 60, 393-408.
21. Majda, A. J., Mohammadian, M. & Xing, Y. 2008 Vertically sheared horizontal flow with mass sources: a canonical balanced model. Geophys. Astrophys. Fluid Dyn. 102, 543-591.
22. Majda, A. J. & Stechmann, S. 2009 A simple dynamic model with features of convective momentum transport. J. Atmos. Sci. 66, 373-392.
23. Majda, A. J. & Xing, Y. 2009 New multi-scale models on mesoscales and squall lines. Commun. Math. Sci. 8, 113-134.
24. Mohammadian, A. M. & LeRoux, D. Y. 2008 Fourier analysis of a class of upwind schemes in shallow water systems for gravity and Rossby waves. Intl J. Numer. Methods Fluids 57, 389-416.
25. Molinari, J., Lombardo, K. & Vollaro, D. 2007 Tropical cyclogenesis within an equatorial Rossby wave packet. J. Atmos. Sci. 64, 1301-1317.
26. Molinari, J., Vollaro, D. & Corbosiero, K. L. 2004 Tropical cyclone formation in a sheared environment: a case study. J. Atmos. Sci. 61, 2493-2509.
27. Montgomery, M. T., Nicholls, M. E., Cram, T. A. & Saunders, A. B. 2006 A vortical hot tower route to tropical cyclogenesis. J. Atmos. Sci. 63, 355-386.
28. Nolan, D. S. 2007 What is the trigger for tropical cyclogenesis? Aust. Meteorol. Mag. 56, 241-266.
29. Ritchie, E. A. & Holland, G. J. 1997 Scale interactions during the formation of Typhoon Irving. Mon. Weather Rev. 125, 1377-1396.
30. Sobel, A. H., Nilsson, J. & Polvani, L. M. 2001 The weak temperature gradient approximation and balanced tropical moisture waves. J. Atmos. Sci. 58, 3650-3665.
31. Xing, Y., Majda, A. J. & Grabowski, W. W. 2009 New efficient sparse space-time algorithms for superparameterization on mesoscales. Mon. Weather Rev. 137, 4307-4324.
32. Zhang, D.-L. & Bao, N. 1996 Oceanic cyclogenesis as induced by a mesoscale convective system moving offshore. Part II. Genesis and thermodynamic transformation. Mon. Weather Rev. 124, 2206-2225. (Pubitemid 126554050)