7.2 Helmholtz Decomposition is wrong(Chapter7-2)

Classification of the directions of ageostrophic winds

It is useful to sort out which direction does the force take, or does the ageostrophic wind

take. Because, the force will change the wind (movement).

I want to divide the directions of force foura quadrants.

Fig7.5 First quadrant and Second quadrant of the force applied in ageostrophic motion

So, Fig7.5 show us that if an air parcel has an ageostrophic wind on the left side of actual wind, the force will accelerate the speed.

Fig7.6 Third quadrant and Fourth quadrant of the force applied in ageostrophic motion

And, Fig7.6 show us that if an air parcel has an ageostrophic wind on the right side of actual wind, the force will decelerate the speed.

Let us see the example. Fig7.7 shows the distributions of the actual winds(
Black arrows) and the ageostrophic winds(red arrows) around Asia at 12Z on June 9th in 2011.

Fig7.7 The distribution of actual winds and ageostrophic winds

We can see the accelerating area around Japan sea. Acceleraing area tend to be divergent
area, and divergent area tend to cloud area.

Meanwhile, we can see the decelerating area around Yellow Sea. Decelerating area tend to be

convergent area, and tend to be fine weather area. We can see black area on the water vapor
cloud images.

Fig7.8 shows the distribution of divergence on the water vapor image.

Fig7.8 The distribution of divergence on the water vapor image

These divergent distributions have been gotten from the real(analyzed) wind, not from
divergent wind(from velocity potential).

I think that the ageostrophic wind is very useful to explane these meteorological phenomena.

I think it is no need to use divergent wind, nor velocity potential.

If you want to think the Meteorology as a science which includes dynamics,
you should not use the divergent wind driven from the velocity potential.
Because, the divergent wind leaves from an air parcel(mass), force and acceleration.
Dynamics is a science which deals in masses, forces and accelerations etc..

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