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 >