Release:Releases Archive. Вестник ТюмГУ. Физико-математические науки. Информатика (№7, 2013)
About the authors:Sergei P. Bautin, Dr. Sci. (Phys.-Math.), Professor, Department of Higher and Applied Mathematics, Snezhinsk Physic Institute of the National Research Nuclear University MEPhI; email@example.com
Abstract:The mathematically modeled three-dimensional stationary flows of an ideal polytropic gas under the action of gravity and Coriolis forces have a place for the average intensity of tropical cyclones. For the system of equations of gas dynamics initial boundary value problem is posed, the solution of which describes the flow that occurs in the smooth flow of gas through the surface of a vertical cylinder of a given non-zero radius in the vicinity of an impermeable plane z = 0. It is proved that this problem is a characteristic Cauchy problem and therefore subject to analytic input it has a unique analytic solution. The initial segment of the series that defines this analytic solution is used to construct three-dimensional steady bottom currents of natural vortices such as tropical cyclones. The coefficients of the initial segments of the series are constructed by numerically solving the systems of ordinary differential equations. The distributions of gasdynamic parameters of studied currents are presented numerically and graphically. They are consistent with field observations of tropical cyclones.