dynamic weather - pressure calculation over the complete map

[buur]

I has played a little bit with the dynamic weather system, especially with the cyclones described under \DCS\MissionEditor\weather\dynamic.

I found that for a system with a ellipticity = 1 following formula describes the problem over the hole map.

P = pressure_excess *exp(-((x - centerX).^2+(z - centerZ).^2)/pressure_spread^2);

Also I found that the single cyclones are additive, e.g.

P_total = P_1 + P_2 + .....

You can see it in following picture were you can see two cyclones (red and yellow) and also the result (green). The values are the pressure measured in DCS:

With this knowledge we are able to calculate the pressure over the whole map and can make pressure charts like in picture in the attachment.

 

Now my question:

I'm struggling a little bit to insert the ellipticity and the rotation in above formula.

Has anybody from the community an idea how to bring it into the formula?

 

Thanks

buur

[buur]

Ok, I found the solution. Looking on German Wikipedia was a bad idea, looking on English Wikipedia a good one.https://en.wikipedia.org/wiki/Gaussian_function

Even with Octave code, very nice.

The next job is now to calibrate the function.