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Fractal Math, Chaos Theory & Research => (new) Theories & Research => Topic started by: youhn on January 28, 2017, 07:03:58 PM




Title: Fluid dynamics, fractals and the nature of being
Post by: youhn on January 28, 2017, 07:03:58 PM
(https://www.mohawkconnects.com/feltandwire/wp-content/uploads/2012/01/1-6340.jpg)

One worldview is to see everything as a process. A vortex is a simple temporarily stable process, just like any living creature is. We explorer how the shape of (some) fractals like trees and rives came to be (see http://www.fractalforums.com/fractals-in-nature/classification-system-for-types-of-fractals-seen-in-nature/msg99055/#msg99055 ). Shapes seem to be driven by flow optimisation, in the context of the structure of the local space. In physic models this context is called the "boundary conditions", which act as the required input for the calculations. Otherwise the underlying formulas would not lead to any shape at all. So this led me looking for simple 2D simulation software. Actually I wanted to be able to draw Suminagashi style, but on the PC (simulated). Couldn't find it. Next best thing:

http://markjstock.org/vic2d/

(http://markjstock.org/vic2d/vort_120_04_0180.png)

(https://s-media-cache-ak0.pinimg.com/736x/7a/14/09/7a14096300a9b72afafaa7b08601cb9a.jpg)

Anyone familiar with other software for this purpose?

Everyone is welcome to share any thoughts on Fluid dynamics, fractals and the nature of being in this topic. I would like to know your worldview, perhaps linked to fluid flows and fractals.


Title: Re: Fluid dynamics, fractals and the nature of being
Post by: SamTiba on January 29, 2017, 05:27:58 PM
I'm studying physical engineering right know and I am going to specialize in fluid dynamics and I reaaaaally want to connect this to fractals.
I mean that would be so awesome! Would be perfect conditions for a good bachelor/master thesis to happen, if I found something.
Just give me around 2-3 years .. :D


Title: Re: Fluid dynamics, fractals and the nature of being
Post by: youhn on January 29, 2017, 10:18:22 PM
Well, there is already some kind of link between fractals and fluid dynamics.

Dynamic systems, chaos theory and fractals are very strongly linked. Real world examples of fluid dynamics are (almost?) always complex dynamic systems. This means they are inherently fractal in nature, both in time and space. Fractal as in roughness (the non-smooth shape of nature), not as in self similar. Fractals don't have to be self-similar in a orderly structures fashion. These smooth geometric structures are only found in math instead of nature (Koch snowflake, Sierpinski triangle, mandelbrot set, etc). Some examples on different Rayleigh-Taylor instabilities:

(http://large.stanford.edu/courses/2011/ph241/olson2/images/f3.png)
Source: http://large.stanford.edu/courses/2011/ph241/olson2/

(http://www.flowvis.org/OldGalleries/2011/Get-Wet/Popup15707.jpg)
Source: http://www.flowvis.org/OldGalleries/2011/Get-Wet/FV_popup1-31.htm

(http://www.images.group.cam.ac.uk/sitecontent/exp_photo_1.jpg)
Source: http://www.images.group.cam.ac.uk/news/epsrcphotocompet2013

(https://i.ytimg.com/vi/SzqYnjIR4n0/maxresdefault.jpg)
Source: https://www.youtube.com/watch?v=SzqYnjIR4n0 <<< WATCH IT MOVE, MUCH NICER THAN STATIC IMAGES!