Kinetic Energy Budget of a Tropical Cyclone


An analysis of the kinetic energy budget is made for a tropical cyclone. Horizontal flux convergence constitutes a major energy source. Generation of kinetic energy via cross-contour flow is a persistent sink throughout the pre-storm and growth periods. Dissipation of kinetic energy from subgrid to grid scales is an important source during the pre-storm and growth periods; it acts as the major sink of energy during the decay period. The major contribution to kinetic energy comes from a persistent upper tropospheric jet stream activity throughout the period of the cyclone development. Unlike midlatitude cyclones, a considerable quantity of kinetic energy appears between 850 - 500 hPa layers especially during the growth period. While the behavior of the values of horizontal divergence by nondivergent wind closely resemble to those of total horizontal divergence term, neglecting the divergent part of the wind would clearly lead to a considerable error in the calculation of total horizontal divergence. The mean error in approximation of total horizontal divergence by the nondivergent part during the life cycle of our cyclone is about 36%.

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Abdel-Basset, H., Husin, M.A.A. and Hasanen, H. (2015) Kinetic Energy Budget of a Tropical Cyclone. Atmospheric and Climate Sciences, 5, 394-407. doi: 10.4236/acs.2015.54031.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] WMO (2006) Observations and Forecasts of Rainfall Distribution. Six WMO International Workshop on Tropical Cyclones (IWTC-VI), San Jose, Costa Rica, 21-30 November 2006.
[2] Colman, B.R. (1990) Thunderstorms above Frontal Surfaces in Environments without Positive CAPE. Part I: A Climatology. Monthly Weather Review, 118, 1103-1121.<1103:tafsie>;2
[3] Rochette, S.M. and Moore, J.T. (1996) Initiation of an Elevated Mesoscale Convective System Associated with Heavy Rainfall. Weather Forecasting, 11, 443-457.<0443:IOAEMC>2.0.CO;2
[4] Moore, J.T., Czarnetzki, A.C. and Market, P.S. (1998) Heavy Precipitation Associated with Elevated Thunderstorms Formed in a Convectively Unstable Layer Aloft. Meteorological Applications, 5, 373-384.
[5] Adrian, G., Behrendt, A., Blyth, A., Browell, E.V., Corsmeier, U., Craig, G., Crewell, S., Davis, K.J., Graßl, H., Hagen, M., Hardesty, R.M., Heintzenberg, J., Hense, A., Kottmeier, C., Lelieveld, J., Parsons, D., Richard, E., Rotach, M., Russchenberg, H., Schumann, U., Simmer, C., Steinacker, R., Volkert, H., Weckwerth, T. and Wilson, J.W. (2005) Convective and Orographically-Induced Precipitation Study. WWRP RDP Proposal 4.
[6] Wul Fmeyer, V., Behrendt, A., Bauer, H.S., Kottmeier, C., Corsmeier, U., Blyth, A., Craig, G., Chumann, U., Hagen, M., CreWell, S., di Girolamo, P., Flamant, C., Miller, M., Montani, A., Mobbs, S., Richard, E., Rotach, M.W., Arpagaus, M., Russchenberg, H., Schlüssel, P., Konig, M., Gartner, V., Steinacker, R., Dorninger, M., Turner, D.D., Weckwerth, T., Hense, A. and Simmer, C. (2008) The Convective and Orographically Induced Precipitation Study—A Research and Development Project of the World Weather Research Program for Improving Quantitative Precipitation Forecasting in Low-Mountain Regions. Bulletin of the American Meteorological Society, 1, 1477-1485.
[7] Hagen, M., Baelen, J.V. and Richard, E. (2011) Influence of the Wind Profile on the Initiation of Convection in Mountainous Terrain. Quarterly Journal of the Royal Meteorological Society.
[8] Fuelberg, H.E. and Scoggins, J.R. (1978) Kinetic Energy Budgets during the Life Cycle of Intense Convective Activity. Monthly Weather Review, 106, 637-653.<0637:KEBDTL>2.0.CO;2
[9] Robertson, F.R. and Smith, P.J. (1980) The Kinetic Energy Budgets of Two Severe Strom Producing Extratropical Cyclones. Monthly Weather Review, 108, 127-143.<0127:TKEBOT>2.0.CO;2
[10] Abdel Basset, H. (2001) Energy Conversion of a Desert Depression. Meteorology and Atmospheric Physics, 76, 203-222.
[11] Vincent, D.G. and Schlatter, T.W. (1979) Evidence of Deep Convection as a Source of Synoptic-Scale Kinetic Energy. Tellus, 31, 493-504.
[12] Kung, E.C. (1969) Further Study on the Kinetic Energy Balance. Monthly Weather Review, 97, 573-581.<0573:FSOTKE>2.3.CO;2
[13] Smith, P.J. (1973) The Kinetic Energy Budget over North America during a Period of Major Cyclone Development. Tellus, 25, 411-423.
[14] Smith, P.J. and Adhikary, S.P. (1974) The Dissipation of Kinetic Energy in Large-Scale Atmospheric Circulations. Reviews of Geophysics, 12, 281-284.
[15] McInnis, D.H. and Kung, E.C. (1972) A Study of Sub-Synoptic-Scale Energy Transformations. Monthly Weather Review, 100, 126-132.<0126:ASOSSE>2.3.CO;2
[16] Kung, E.C. and Tsui, T.L. (1975) Sub-Synoptic-Scale Kinetic Energy Balance in the Strom Area. Journal of the Atmospheric Sciences, 32, 729-740.<0729:SSKEBI>2.0.CO;2
[17] Tsui, T.L. and Kung, E.C. (1977) Subsynoptic-Scale Energy Transformations in Various Severe Storm Situations. Journal of the Atmospheric Sciences, 34, 98-110.<0098:SSETIV>2.0.CO;2
[18] Fuelberg, H.E. and Jedlovec, G.J. (1982) A Subsynoptic-Scale Kinetic Energy Analysis of the Red River Valley Tornado Outbreak (AVE-SESAME I). Monthly Weather Review, 110, 2005-2024.<2005:ASSKEA>2.0.CO;2
[19] Fuelberg, H.E. and Printy, M.F. (1984) A Kinetic Energy Analysis of the Meso-β Scale Severe Storm Environment. Journal of the Atmospheric Sciences, 22, 3212-3226.<3212:AKEAOT>2.0.CO;2
[20] Johns, R.H. and Doswell III, C.A. (1992) Severe Local Storms Forecasting. Weather and Forecasting, 7, 588-612.<0588:SLSF>2.0.CO;2
[21] Abdel Wahab, M. and Abdel Basset, H. (2000) Energy Exchanges for Mediterranean Weather Systems. Meteorology and Atmospheric Physics, 73, 1-23.
[22] Gutowski Jr., W.J. and Jiang, W. (1998) Surface-Flux Regulation of the Coupling between Cumulus Convection and Baroclinic Waves. Journal of the Atmospheric Sciences, 55, 940-953.<0940:SFROTC>2.0.CO;2
[23] Bosart, L.F. and Lackmann, G.M. (1995) Postlandfall Tropical Cyclone Reintensification in a Weakly Baroclinic Environment: A Case Study of Hurricane David (September 1979). Monthly Weather Review, 123, 3268-3291.<3268:PTCRIA>2.0.CO;2
[24] Atallah, E., Bosart, L.F. and Aiyyer, A.R. (2007) Precipitation Distribution Associated with Landfalling Tropical Cyclones over the Eastern United States. Monthly Weather Review, 135, 2185-2206.
[25] Reasor, P.D., Montgomery, M.T. and Bosart, L.F. (2005) Mesoscale Observations of the Genesis of Hurricane Dolly (1996). Journal of the Atmospheric Sciences, 62, 3151-3171.
[26] Galarneau Jr., T. and Bosart, L.F. (2007) The Long-Lived MCV of 10-13 June 2003: A Possible Example of an Incipient Tropical Disturbance over Land? Proceedings of the 12th Conference on Mesoscale Processes, Waterville Valley, 6-9 August 2007.
[27] Chen, T.C. and Wiin-Nielsen, A. (1976) On the Kinetic Energy of the Divergent and Nondivergent Flow in the Atmosphere. Tullus, 28, 486-498.
[28] Krishnamurti, T.N. (1971) Observational Study of the Tropical Upper Tropospheric Motion Field during the Northern Hemispheric Summer. Journal of Applied Meteorology, 10, 1066-1096.<1066:OSOTTU>2.0.CO;2
[29] Chen, T.C. (1980) On the Energy Exchange between the Divergent and Rotational Components of Atmospheric Flow over the Tropics and Subtropics at 200 hPa during Two Northern Summers. Monthly Weather Review, 108, 896-912.<0896:OTEEBT>2.0.CO;2
[30] Hoskins, B.J. and Karoly, D.J. (1981) The Steady Linear Response of a Spherical Atmosphere to Thermal and Orographic Forcing. Journal of the Atmospheric Sciences, 38, 1179-1196.<1179:TSLROA>2.0.CO;2
[31] Sardeshmukh, P.D. and Hoskins, B.J. (1988) The Generation of Global Rotational Flow by Steady Idealized Tropical Divergence. Journal of the Atmospheric Sciences, 45, 1228-1251.<1228:TGOGRF>2.0.CO;2
[32] Garcia-Serrano, J., Losada, T., Rodriguez-Fonseca, B. and Polo, I. (2008) Tropical Atlantic Variability Modes (1979–2002). Part II: Time-Evolving Atmospheric Circulation Related to SST-Forced Tropical Convection. Journal of Climate, 24, 6476-4697.
[33] Abdel Wahab, M. and Abdel Basset, H. (2000) The Effect of Moisture on the Kinetic Energy of a Mediterranean Cyclone. Theoretical and Applied Climatology, 65, 17-36.
[34] Chen, T.C., Alpert, J.C. and Schlatter, T.W. (1978) The Effects of Divergent and Nondivergent Winds on the Kinetic Energy Budget of a Midlatitude Cyclone: A Case Study. Monthly Weather Review, 106, 458-468.<0458:TEODAN>2.0.CO;2
[35] Krishnamurti, T.N. and Ramanathan, Y. (1982) Sensitivity of the Monsoon Onset to Differential Heating. Journal of the Atmospheric Sciences, 39, 1290-1306.<1290:SOTMOT>2.0.CO;2
[36] Krishnamurti, T.N. (1968) A Study of a Developing Wave Cyclone. Monthly Weather Review, 96, 208-217.<0208:ASOADW>2.0.CO;2
[37] DiMego, G.J. and Bosart, L.F. (1982) The Transformation of Tropical Storm Agnes into an Extratropical Cyclone. Part II: Moisture, Vorticity and Kinetic Energy Budgets. Monthly Weather Review, 110, 412-433.<0412:TTOTSA>2.0.CO;2
[38] Pearce, R.P. (1974) The Design and Interpretation of Diagnostic Studies of Synoptic-Scale Atmospheric Systems. Quarterly Journal of the Royal Meteorological Society, 100, 265-285.
[39] O’Brien, J.J. (1970) Alternative Solutions to the Classical Vertical Velocity Problem. Journal of Applied Meteorology, 9, 197-203.<0197:ASTTCV>2.0.CO;2
[40] Krishnamurti, T.N. and Bounoua, L. (1996) An Introduction to Numerical Weather Prediction Techniques. Academic Press, New York, 73-76.
[41] Kung, E.C. (1966) Kinetic Energy Generation and Dissipation in the Large Scale Atmospheric Circulation. Monthly Weather Review, 94, 67-82.<0067:KEGADI>2.3.CO;2
[42] Holopainen, E. (1973) An Attempt to Determine the Effects of Turbulent Friction in the Upper Troposphere from the Balance Requirements of the Large-Scale Flow: A Frustrating Experiment. Geophysica, 12, 151-176.
[43] Ward, J.H. and Smith, P.J. (1976) A Kinetic Energy Budget over North America during a Period of Short Synoptic Wave Development. Monthly Weather Review, 104, 836-848.<0836:AKEBON>2.0.CO;2
[44] Chen, T.C. and Bosart, L.F. (1977) Quasi-Lagrangian Kinetic Energy Budgets of Composite Cyclone-Anticyclone Couplets. Journal of the Atmospheric Sciences, 34, 452-464.<0452:QLKEBO>2.0.CO;2
[45] Chen, T.C. (1975) On the Kinetic Energy of the Divergent and Nondivergent Flow in the Atmosphere. Technical Report 02630-14-T, Department of Atmospheric and Oceanic Science, University of Michigan, Ann Arbor, 143 p.

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