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Re: Fluid dynamics

• To: mathgroup at smc.vnet.net
• Subject: [mg44404] Re: [mg44363] Fluid dynamics
• From: Nathan Moore <nmoore at physics.umn.edu>
• Date: Sat, 8 Nov 2003 04:50:48 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Cellular automa has always looked like a discretization of continuous 
differential equations (ever looked closely at the Runge-Kutta DEQ 
solver?  A cursory glance shows that any x(i+1) comes from x(i) and 
maybe also x(i-1) with statistical weights coming from taylor 
expansions.  This means that any differential equation can be 
discretized and expressed as a "cellular automa system"

There's nothing new and fabulous about that - its the standard approach 
in Numerical methods. 

NT Moore
U of Minnesota Physics

On Friday, November 7, 2003, at 04:16 AM, martinro at carleton.edu wrote:

> Hi,
> A partner and I are working on a project that describes fluid dynamic
> behavior in systems such as hurricanes and galaxy formation, for a 
> college
> cellular automata physics seminar.  It seems that research about the 
> models
> to create these simulations are extremely hard to find, has anyone done
> this type of research on Mathematica or would know the form to write 
> the
> programs? I know that the galaxy formation has been done on Fortran, 
> but
> hurricanes and similar systems yield almost no results on a literature
> search.  Dr. Wolfram says in his book A New Kind of Science that these 
> type
> of weather related systems can be described by cellular automata in a
> similar manner to fluid dynamics, but gives no examples of the 
> programs,
> can anyone help us?
>
> Thanks
> Ross Martin
> Carleton College
>