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Tornado-type Stationary Vortex with Nonlinear Term Due to Moisture Transport : Volume 4, Issue 1 (14/06/2010)

By Rutkevich, P. B.

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Book Id: WPLBN0003988305
Format Type: PDF Article :
File Size: Pages 6
Reproduction Date: 2015

Title: Tornado-type Stationary Vortex with Nonlinear Term Due to Moisture Transport : Volume 4, Issue 1 (14/06/2010)  
Author: Rutkevich, P. B.
Volume: Vol. 4, Issue 1
Language: English
Subject: Science, Advances, Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
2010
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Rutkevych, P. P., & Rutkevich, P. B. (2010). Tornado-type Stationary Vortex with Nonlinear Term Due to Moisture Transport : Volume 4, Issue 1 (14/06/2010). Retrieved from http://www.ebooklibrary.org/


Description
Description: Space Research Institute (IKI), RAS, Moscow, Russia. Tornado vortex is believed to be essentially nonlinear phenomenon; and the puzzle to choose the nonlinear term(s) responsible for its formation is still unresolved. In the present work we consider the nonlinear term associated with atmosphere humidity, by introducing variable temperature gradient depending on the vertical velocity of the fluid. Such term is able to yield energy to the system and is very suitable for such a problem. Other nonlinear terms are neglected, assuming slow rotation, or in other words a weak tornado approximation. We consider one-dimensional radial boundary problem, and use a modificaiton of shooting method to satisfy boundary conditions at large radii. Obtained numerical solutions of the nonlinear differential equation qualitatively agree with the observed atmosphere vortices (tornados, tropical cyclones). The obtained results show general possibility of existence of unstable motion even in convectively stable atmosphere stratification.

Summary
Tornado-type stationary vortex with nonlinear term due to moisture transport

Excerpt
Bluestein, H. B., Gaddy, S. G., DowelL, D. C., Pazmany, A. L., Galloway, J. C., McIntosh, R. E., and Stein, H.: Doppler Radar Observations of Substorm-Scale Vortices in a Supercell, Mon. Weather Rev., 125, 1046–1059, 1997.; Bluestein, H. B. and Weisman, M. L.: The Interaction of Numerically Simulated Supercells Initiated along Lines, Mon. Weather Rev., 128, 3128–3149, 2000.; Bluestein, H. B. and Pazmany, A. L.: Observations of Tornadoes and Other Convective Phenomena with a Mobile, 3-mm Wavelength, Doppler Radar: The Spring 1999 Field Experiment, B. Am. Meteorol. Soc., 81, 2939–2952, 2000.; Davies-Jones, R.: Severe convective storm, Vol. 28, Meteorological Monographs, 2001.; Doswell III, C. A. and Burgess, D. W.: Tornadoes and tornadic storms: A review of conceptual models, in: The Tornado: Its Structure, Dynamics, Prediction and Hazards, edited by: Church, C., Burgess, D., Doswell, C., Davies-Jones, R., Geophys. Monogr, Vol. 79, Amer. Geophys. Union, 161–172, 1993.; Landau, L. D. and Lifshitz, E. M.: Fluid Mechanics, 2nd Edn., 1987.; Lehmiller, G. S., Bluestein, H. B., Neiman, P. J., Ralph, F. M., and Feltz, W. F.: Wind Structure in a Supercell Thunderstorm as Measured by a UHF Wind Profiler, Mon. Weather Rev., 129, 1968–1986, 2001.; Renno, N. O. and Ingersoll, A. P.: Natural convection as a heat engine: a theory for CAPE, J. Atmos. Sci., 53, 572–585, 1996.; Rutkevich, P. B. and Rutkevych, P. P.: Model of oscillatory instability in vertically-homogeneous atmosphere, Adv. Geosci., 15, 57–63, doi:10.5194/adgeo-15-57-2009, 2009.

 

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