On the Generalized Ertel--Rossby Invariant |
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Authors: | GAO Shouting XU Pengcheng and LI Na |
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Institution: | Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081 |
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Abstract: | A new invariant called the generalized Ertel--Rossby invariant (GER) was
developed in this study. The new invariant is given by the dot product of
the generalized vorticity and the generalized velocity. The generalized
vorticity is the absolute vorticity minus the cross--product of the gradient
of Lagrangian--time integrated temperature and the gradient of entropy. The
generalized velocity is the absolute velocity minus the sum of the gradient
of Lagrangian--time integrated kinetic potential and the Lagrangian--time
integrated temperature multiplied by the gradient of entropy. In addition to
the traditional potential vorticity, the GER invariant may provide another
useful tool to study the atmospheric dynamic processes for weather phenomena
ranging from large scales to small scales. |
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Keywords: | potential vorticity generalized Ertel--Rossby invariant generalized vorticity generalized velocity |
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