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