首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Unsteady analytical solutions of the spherical shallow water equations
Authors:Matthias Luter  Drthe Handorf  Klaus Dethloff
Institution:Alfred Wegener Institute, Foundation for Polar and Marine Research, Post Box 60 01 49, 14401 Potsdam, Germany
Abstract:A new class of unsteady analytical solutions of the spherical shallow water equations (SSWE) is presented. Analytical solutions of the SSWE are fundamental for the validation of barotropic atmospheric models. To date, only steady-state analytical solutions are known from the literature. The unsteady analytical solutions of the SSWE are derived by applying the transformation method to the transition from a fixed cartesian to a rotating coordinate system. Fundamental examples of the new unsteady analytical solutions are presented for specific wind profiles. With the presented unsteady analytical solutions one can provide a measure of the numerical convergence in the case of a temporally evolving system. An application to the atmospheric model PLASMA shows the benefit of unsteady analytical solutions for the quantification of convergence properties.
Keywords:Shallow water equations  Analytical solutions  Atmospheric flow
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号