Is there a relationship between thermal wind vorticity advection and temperature advection in meteorology? For example, does positive thermal wind vorticity advection approximately represent cold adve

Is there a relationship between thermal wind vorticity advection and temperature advection in meteorology? For example, does positive thermal wind vorticity advection approximately represent cold advection or warm advection? Thermal wind vorticity advection is called thermal wind to thermal wind vorticity advection. Physical significance: The positive thermal wind vorticity is transported by southwest thermal wind from large to small at the trough line, which increases the positive thermal wind vorticity along the trough line, reflecting the increase of positive relative vorticity, the decrease of isobaric surface height at the trough line and the increase of cyclone curvature. The advection of positive relative vorticity in front of the trough is large, which increases the positive relative vorticity of the fixed point in front of the trough. At the same time, under the action of pressure gradient force, the horizontal divergence is large, which reduces the mass of the low-level ground more, and the cyclone decompression is more and deeper.

In addition, positive thermal wind vorticity advection approximately represents cold advection. (There are original words in the plot outline principle! )