UDC 519.635.6

© S. O. Romanski, P. B. Sulyandziga, 2011

ONE MODEL OF A MESOSCALE VORTEX

The paper deals with a mathematical model that describes origination, evolution, and destruction of atmospheric vortex with a vertical axis using the Navier-Stokes differential equations in a cylindrical coordinate system. The numerical method of the system solution and also the results are given.

Keywords: atmospheric vortex, modeling of atmosphere processes, fractional step method, systems of non-linear PDEs, twister, tornado

References:

1. Veselov E.P. K raschetu skorosti vetra v smerche // Gidrologiya i meteorolo-giya. - 2008. - №2. S. 58-63.
2. Rossiyskiy gidrometeorologicheskiy entsiklopedicheskiy slovar, t.3.- SPb.: Letniy sad, 2009.
3. Gutman L.N., Malbakhov V.M. K teorii atmosfernykh vikhrey s vertikalnoy osyu // Izv. AN SSSR, seriya fiziki atmosfery i okeana. - 1968. - №6. S. 34-41.
4. Snow J. The Tornado // Scientific American. - 1984. - Vol. 250, № 114. - P. 56-66.
5. Landau L.D., Lifshits E.M. Teoreticheskaya fizika, t.6. Gidrodinamika. - M.: Nauka, 1986.
6. Thunis P., Bornstein R. Hierarchy of mesoscale flow assumptions and equations // Journal of the Atmospheric Sciences. - 1996. - Vol. 53. - P. 380-397.
7. Ooyama V. A Thermodynamic Foundation for Modeling the Moist Atmosphere // Monthly Weather Review - 1990. - Vol. 47 - P. 2580-2593.
8. GOST 4401-81. Atmosfera standartnaya. Parametry. - M.: Izd-vo standar-tov, 2004.
9. Klemp J. Dynamics of thornadic thunderstorms // Annual reviews Fluid Mechanics - 1987. - Vol. 19 - P. 369-402.
10. YAnenko N.N. Metod drobnykh shagov resheniya mnogomernykh zadach matemati-cheskoy fiziki. - Novosibirsk: Nauka - sibirskoe otdelenie, 1967.
11. Marchuk G.I. Matematicheskoe modelirovanie v probleme okruzhayushchey sredy. - L.: Gidrometizdat, 1987.
12. Samarskiy A.A., Nikolaev E.S. Metody resheniya setochnykh uravneniy. - M.: Nauka, 1978.
13. Vislenev B.V., Kuzmenko D.V. Teoriya Aviatsii. - M.: Iz-vo narkomata oborony SSSR, 1939.

 Download article (372.9 Kb)

 Сontents