0:00:00.000,0:00:03.000
Now, we have all the ingredients to that model of a wildfire.
0:00:03.000,0:00:09.000
The heat equation in 2D to describe the diffusion of heat. We have a model for heat loss.
0:00:09.000,0:00:15.000
We can describe the effect of wind at least in one dimension, but that would be easy to generalize
0:00:15.000,0:00:19.000
to two dimensions, and we have a simple model for combustion.
0:00:19.000,0:00:23.000
In the homework, you're going to put all of these together to model a wildfire.
0:00:23.000,0:00:28.000
This boils down to adding the different contributions to a rate of change of temperature.
0:00:28.000,0:00:30.000
This is what the result could look like.
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In the region where the fire has started, the wood is depleted so they can't be any combustion going on.
0:00:36.000,9:59:59.000
The fire has advanced to the right, a little to the left, and to the top.