An Application of Refined Potential Flow Theory in Modeling Geophysical Fluid Dynamics

Описание: “What are von Kármán vortices?

The long, cloudy chains of spiral eddies like those shown [in the video] are von Kármán vortices. They’re named after Theodore von Kármán (1881-1963), a Hungarian-American physicist who was the first to describe the physical processes that create them. The patterns can form nearly anywhere an object disturbs the flow of a fluid. Our atmosphere is composed of gases, but it flows like a fluid [Geophysical Fluid dynamics]. And tall volcanic peaks on islands disrupt the flow of the wind to create the swirling clouds we know as von Kármán vortices. As the winds divert around these high areas, the disturbance in the flow propagates downstream in the form of vortices that alternate their direction of rotation.

Satellites have spotted von Kármán vortices around the globe. We’ve seen these vortices off of Guadalupe Island near the coast of Chile, in the Greenland Sea, in the Arctic, and even next to a tropical storm. ‘’

~Source: EarthSky (https://earthsky.org/earth/these-are-...)

“ [von Kármán vortex street] is responsible for such phenomena as the "singing" of suspended telephone or power lines and the vibration of a car antenna at certain speeds. Mathematical modeling of von Kármán vortex street can be performed using different techniques including but not limited to solving the full Navier-Stokes equations with k-epsilon, SST, k-omega and Reynolds stress, and large eddy simulation (LES) turbulence models, by numerically solving some dynamic equations such as the Ginzburg–Landau equation, or by use of a bicomplex variable.”

~Source: Wikipedia (https://en.wikipedia.org/wiki/K%C3%A1...)

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In this video, a preliminary proof of concept of the application of refined potential flow theory to geophysical fluid dynamics is presented.

A Ph.D. presentation, at Georgia Institute of Technology, on refined potential flow #theory where I introduced the Kwasu function - named after KWARA STATE UNIVERSITY, MALETE - KWASU - can be found in this YouTube video    • Introducing Refined Potential Flow Theory   .

For an #animation video on refined potential flow theory, #Navier-#Stokes equations and #turbulence, check this YouTube video out    • Refined Potential Flow Theory, Navier-Stok...   .

Basics of Geophysical Fluid dynamics by Jim Thomas (International Centre for Theoretical Sciences) can be found here -    • Basics of Geophysical Fluid Dynamics by Ji...   .

The original NOAA: National Oceanic & Atmospheric Administration Satellites videos can be found below.

Earth from Orbit: von Kármán Vortices (   • Earth from Orbit: von Kármán Vortices  )

Guadalupe Island Produces von Kármán Vortices (   • Guadalupe Island Produces von Kármán Vortices  )

Kwame Nkrumah University of Science and Technology, Kumasi Cranfield University IOP Publishing #aerodynamics #fluiddynamics #mathematics
#mathematicalphysics #potentialflow #Aerospace #engineering