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Fluid dynamic over a complex terrain

  • To: mathgroup at smc.vnet.net
  • Subject: [mg109864] Fluid dynamic over a complex terrain
  • From: Luc Barthelet <luc at tirnua.com>
  • Date: Thu, 20 May 2010 06:38:50 -0400 (EDT)

I am interesting in modeling the flow of air or water over a terrain 
with varying elevation. (the resolution is either 128x128 or 256x256).
I have a few known values of the speed in some of the cells, and I am 
interested in extrapolating a solution that takes the terrain into account.
For the wind, I assume a layer that behaves like a ceiling. (and of 
course the same for the water).

I believe I need a solution that respects the Navier-Stokes equations 
and also mass conservation.
An example similar to what I am trying to achieve can be found at 
http://sfports.wr.usgs.gov/cgi-bin/wind/windbin.cgi
Has anyone implemented anything  like this in Mathematica before?

I looked around and also asked directly some of the Authors of 
Demonstration, but no luck yet. I'd rather not reinvent the wheel.

Thank you in advance,

Luc




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