Has anyone thought of using something designed to do numerical modeling? Matlab?
I'm sure some of you have read the thermal simulation article at ocers.com (cant find the link in their nebulous archives, but I assure you it's there). In any case, matlab is very adaptable to all sorts of simulations, and is extremely equation friendly. I bet someone around here has registered versions of some thermal simulation toolboxes they can use at least at work. This would be a valuable tool to consider - very powerful, very easy to implement.
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