[Script Info]
Title:
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.00,0:00:03.00,Default,,0000,0000,0000,,Now, we have all the ingredients to that model of a wildfire.
Dialogue: 0,0:00:03.00,0:00:09.00,Default,,0000,0000,0000,,The heat equation in 2D to describe the diffusion of heat. We have a model for heat loss.
Dialogue: 0,0:00:09.00,0:00:15.00,Default,,0000,0000,0000,,We can describe the effect of wind at least in one dimension, but that would be easy to generalize
Dialogue: 0,0:00:15.00,0:00:19.00,Default,,0000,0000,0000,,to two dimensions, and we have a simple model for combustion.
Dialogue: 0,0:00:19.00,0:00:23.00,Default,,0000,0000,0000,,In the homework, you're going to put all of these together to model a wildfire.
Dialogue: 0,0:00:23.00,0:00:28.00,Default,,0000,0000,0000,,This boils down to adding the different contributions to a rate of change of temperature.
Dialogue: 0,0:00:28.00,0:00:30.00,Default,,0000,0000,0000,,This is what the result could look like.
Dialogue: 0,0:00:30.00,0:00:36.00,Default,,0000,0000,0000,,In the region where the fire has started, the wood is depleted so they can't be any combustion going on.
Dialogue: 0,0:00:36.00,9:59:59.99,Default,,0000,0000,0000,,The fire has advanced to the right, a little to the left, and to the top.