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Kinetic Energy Budget Equations of Rotational and Divergent Flow in Terrain-following Coordinates
Authors:CAO Jie  SUN Ji-Song  GAO Shou-Ting  CUI Xiao-Peng
Institution:1. Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
2. Beijing Meteorological Bureau, Beijing 100089, China
Abstract:In this study, kinetic energy budget equations of rotational and divergent flow in pressure coordinates are derived on terrain-following coordinates. The new formulation explicitly shows the terrain effects and can be applied directly to model-simulated dynamic and thermodynamic fields on the model's original vertical grid. Such application eliminates interpolation error and avoids errors in virtual weather systems in mountainous areas. These advantages and their significance are demonstrated by a numerical study in terrain-following coordinates of a developing vortex after it moves over the Tibetan Plateau in China.
Keywords:terrain-following coordinates  kinetic energy  southwest vortex  streamfunction  velocity potential
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