We study qualitively topological structures of some common flow fields in the atmosphere based on different simplifications and assumptions of fundamental equations. Results show that the streamlines of cyclones and anticyclones on the 2-D isobaric surface are similar to the manifold of a centric point (or elliptic point), The flow fields of typhoon and tornado are similar to the manifolds of saddle-focus points in 3-D space. When the atmospheric long wave evolves and blocking high appears, the manifold cor...
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