Modelling turbulence in flight: and other situations?

'Thomas Q. Carney, a retired professor of aviation technology at Purdue University in Indiana who has logged more than 11,000 flight hours as a pilot, said, "The better the model, the more it captures of the particular turbulent field, then the better the forecast, which is what the pilot is going to use."'

individual

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INTERPERSONAL : SCIENCES

humanistic -------------------------------------------  mechanistic

SOCIOLOGY : POLITICAL

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group-population

complexity and turbulence here ...	Birnir, B., & Angheluta, L. (2025). Scaling of Lagrangian structure functions. Phys. Rev. Res., 7(2), 023225.  https://doi.org/10.1103/PhysRevResearch.7.023225
here	and here ...

'To try to make sense of chaos, Dr. Birnir worked with Luiza Angheluta-Bauer, a theoretical physicist at the University of Oslo, to devise a model that combines two different methods for observing turbulence: what are known as Lagrangian and Eulerian mechanics. Experts say that neither framework can fully explain how turbulence works. 

That's because these two frameworks look at fundamentally different aspects of a turbulent system. In Lagrangian mechanics. researchers observe a simple particle. while in the Eulerian framework they look at a single point in space. Put simply, Lagrangian mechanics is like watching a leaf flow downriver, subject to the whims of eddies in the water. On the other hand, Eulerian mechanics is like watching a rock that protrudes from the river's surface and studying how the turbulence of the water moves around that fixed point.

Lagrangian turbulence is trickier to model because it requires an understanding of how a lone particle will behave. That lone particle will "execute the most complicated motion that you could imagine," Dr. Birnir said.

Knowing how each type of turbulence fits into the bigger picture is akin to selecting the appropriate lens for a microscope, since both are highly dependent on perspective. "Same turbulence, different stories," said Tomek Jaroslawski a postdoctoral fellow at the Center of Turbulence Research at Stanford University.' Nazaryan, p.12.

Nazaryan, A. A new theory of in-flight turbulance lands, Science: The New York Times International Edition, October 15, 2025, p.12.

[Subscription: https://www.nytimes.com/2025/09/24/science/physics-airplanes-turbulence.html ].

See previously: 'care architecture' : 'Serres' : 'complexity' - and, if needed 'spiritual'