An Exact Solution for Two-Dimensional Frictionless Motion in the Atmosphere

S. Panchev

doi:10.1007/BF02919151

Impact Factor: 5.8

Volume 7 Issue 2

Mar. 1990

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Article > ADVANCES IN ATMOSPHERIC SCIENCES > 1990 > 7(2): 137-141

An Exact Solution for Two-Dimensional Frictionless Motion in the Atmosphere

S. Panchev

1.
Department of Meteorology, Faculty of Physics, University of Sofia and T.S. Spassova Main Administration of Hydrology and Meteorology, Sofia, Bulgaria

S. Panchev

doi: 10.1007/BF02919151

Abstract
References
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Abstract:
A solution of the nonlinear problem for determining the wind velocity in frictionless atmosphere (the gradient wind) under given geopotential (pressure) field is proposed. The approach is analytical and is based on quadratic polynomial approximation of the geopotential field and linear approximation of the wind velocity field with respect to x and y, the coefficients of the expansions being functions of the time t. The derived system of ordinary nonlinear differential equations is analyzed as a dynamical system. Exact analytical solutions are found for some par-ticular cases, Some of their properties bear a resemblance to those or really existing atmospheric vortices (cyclones and anticyclones).
References

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Manuscript History

Manuscript received: 10 March 1990

Manuscript revised: 10 March 1990

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

An Exact Solution for Two-Dimensional Frictionless Motion in the Atmosphere

S. Panchev

1. Department of Meteorology, Faculty of Physics, University of Sofia and T.S. Spassova Main Administration of Hydrology and Meteorology, Sofia, Bulgaria

Manuscript received: 1990-03-10
Manuscript revised: 1990-03-10

Abstract: A solution of the nonlinear problem for determining the wind velocity in frictionless atmosphere (the gradient wind) under given geopotential (pressure) field is proposed. The approach is analytical and is based on quadratic polynomial approximation of the geopotential field and linear approximation of the wind velocity field with respect to x and y, the coefficients of the expansions being functions of the time t. The derived system of ordinary nonlinear differential equations is analyzed as a dynamical system. Exact analytical solutions are found for some par-ticular cases, Some of their properties bear a resemblance to those or really existing atmospheric vortices (cyclones and anticyclones).