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A Possible Theory for the Interaction Between Convective Activities and Vortical Flows : Volume 18, Issue 5 (31/10/2011)

By Zhao, N.

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Book Id: WPLBN0003983129
Format Type: PDF Article :
File Size: Pages 11
Reproduction Date: 2015

Title: A Possible Theory for the Interaction Between Convective Activities and Vortical Flows : Volume 18, Issue 5 (31/10/2011)  
Author: Zhao, N.
Volume: Vol. 18, Issue 5
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
2011
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Takahashi, M., Ding, Y. H., Shen, X. Y., & Zhao, N. (2011). A Possible Theory for the Interaction Between Convective Activities and Vortical Flows : Volume 18, Issue 5 (31/10/2011). Retrieved from http://www.netlibrary.net/


Description
Description: State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing, 100081, China. Theoretical studies usually attribute convections to the developments of instabilities such as the static or symmetric instabilities of the basic flows. However, the following three facts make the validities of these basic theories unconvincing. First, it seems that in most cases the basic flow with balance property cannot exist as the exact solution, so one cannot formulate appropriate problems of stability. Second, neither linear nor nonlinear theories of dynamical instability are able to describe a two-way interaction between convection and its background, because the basic state which must be an exact solution of the nonlinear equations of motion is prescribed in these issues. And third, the dynamical instability needs some extra initial disturbance to trigger it, which is usually another point of uncertainty. The present study suggests that convective activities can be recognized in the perspective of the interaction of convection with vortical flow. It is demonstrated that convective activities can be regarded as the superposition of free modes of convection and the response to the forcing induced by the imbalance of the unstably stratified vortical flow. An imbalanced vortical flow provides not only an initial condition from which unstable free modes of convection can develop but also a forcing on the convection. So, convection is more appropriately to be regarded as a spontaneous phenomenon rather than a disturbance-triggered phenomenon which is indicated by any theory of dynamical instability. Meanwhile, convection, particularly the forced part, has also a reaction on the basic flow by preventing the imbalance of the vortical flow from further increase and maintaining an approximately balanced flow.

Summary
A possible theory for the interaction between convective activities and vortical flows

Excerpt
Arakawa, A. and Schubert, W. H.: Interaction of a cumulus cloud ensemble with the large-scale environment, Part I., J. Atmos. Sci., 31, 674–701, 1974.; Charney, J. G.: The use of the primitive equation of motion in numerical prediction, Tellus, {{7}} 22–26, 1955.; Drazin, P. G.: Hydrodynamical stability, Cambridge University Press, Cambridge, 1981.; Emanuel, K. A., Neelin, J. D., and Bretherton, C. S.:  On large-scale circulations in convecting atmospheres, Quart. J. Roy. Met. Soc., 120, 1111–1143, 1994.; Ford, R., McIntyre, M. E., and Norton, W. A.: Balance and the slow quasimanifold: Some explicit results, J. Atmos. Sci., 57, 1236–1254, 2000.; Guo, D. R.: Methods of Mathematical Physics, People's Education Press, Beijing, 1979 (in Chinese).; Haberman, R.: Applied Partial Differential Equations, 4th Edn., Prentice Hall, 2003.; Holton J. R.: An introduction to dynamic meteorology, Academic Press, 1992.; Hoskins, B. J.: The role of potential vorticity in symmetric stability and instability, Quart. J. Roy. Meteor. Soc, 100, 480–482, 1974.; Jacobs, S. J.: On the existence of a slow manifold in a model system of equations, J. Atmos. Sci., 48, 793–801, 1991.; Leith, C. E.: Nonlinear normal mode initialization and quasi-geostrophic theory, J. Atmos. Sci., 37, 958–968, 1980.; Lighthill, M. J.: On sound generated aerodynamically, I. General theory, Proc. Roy. Soc. London, Ser. A, Math. Phys. Sci., 211, 564–587, 1952.; Lorenz, E. N.: Attractor sets and quasi-geostrophic equilibrium, J. Atmos. Sci., 37, 1685–1699, 1980.; Lorenz, E. N.: On the existence of a slow manifold, J. Atmos. Sci., 43, 1547–1557, 1986.; Lorenz, E. N. and Krishnamurthy, V.: On the nonexistence of a slow manifold, J. Atmos. Sci., 44, 2940–2950, 1987.; Lorenz, E. N.: The Slow Manifold – What Is It?, J. Atmos. Sci., 49, 2449–2451, 1992.; Lynch, P.: The slow equations, Q. J. Roy. Meteor. Soc., 115, 201–219, 1989.; Moura, A. D.: The Eigensolutions of the Linearized Balance Equations over a Sphere, J. Atmos. Sci., 33, 877–907, 1976.; McIntyre, M. E.: Balance, potential-vorticity inversion, Lighthill radiation, and the slow quasimanifold, Proc. IUTAM/IUGG/Royal Irish Academy Symposium on {Advanced in Mathematical Modelling of Atmosphere and Ocean }held at the Univ. of Limerick, Ireland, 2–7 July 2000, edited by: Hodnett, P. F., 45–68, 2000.; Pedlosky, J.: Geophysical Fluid Dynamics, Springer Verlag, New York, 1979.; de Roode, S. R., Duynkerke, P. G., and Jonker, H. J. J.: Large eddy simulation: How large is large enough?, J. Atmos. Sci., 61, 403�-421, 2004.; Vallis, G. K.: Potential vorticity and balanced equation of motion for rotating and stratified flows, Q. J. Roy. Met. Soc., 122, 291–322, 1996.; Vanneste, J. and Yavneh, I.: Exponentially Small Inertia–Gravity Waves and the Breakdown of Quasigeostrophic Balance, J. Atmos. Sci., 61, 211–223, 2004.; Vautard, R. and Legras, B.: Invariant manifolds, quasi-geostrophy and initialization, J. Atmos. Sci., 43, 565–584, 1986.; Warn, T.: Nonlinear balance and quasi-geostrophic sets, Atmos. Ocean., 35, 135–145, 1997.; Warn, T. and Menard, R.: Nonlinear balance and gravity-inertia wave saturation in a simple atmospheric model, Tellus, 38A, 285–294, 1986.; Warn, T., Bokhove, O., Shepherd, T. G., and Vallis, G. K.: Rossby number expansions, slaving principles, and balance dynamics, Q. J. Roy. Met. Soc., 121, 723–739, 1995.; Williams, P. D., Haine, T. W. N., and Read, P. L.: Inertia-Gravity Waves Emitted from Balanced Flow: Observations, Properties, and Consequences, J. Atmos. Sci., 65, 3543–3556, 2008.; Xu, Q. and Clark, J. H. E.: The Nature of Symmetric Instability and Its Similarity to Convective and Inertial Instability, J. Atmos. Sci., 42, 2880–2883, 1985.; Zhao, N.: Criteria for the stability of steady flows induced by diabatic heating, Dyn. Atmos. Oceans., 36, 297–307, 2003.

 

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