An exact solution for two-dimensional frictionless motion in the atmosphere |
| |
| Authors: | S Panchev |
| |
| Institution: | Department of Meteorology, Faculty of Physics, University of Sofia and T.S. Spassova Main Administration of Hydrology and Meteorology, Sofia, Bulgaria |
| |
| 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). |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
| 点击此处可从《大气科学进展》浏览原始摘要信息 |
| 点击此处可从《大气科学进展》下载免费的PDF全文 |
|
