# Investigation of Fire Propagation using Discrete Tree Simulations

## Handeul Son

### 2021

Joe Theiss '19 simulated the fire propagation with discrete trees using Python and determined π£π₯ increases if πβ and ππ increases but decreases if ππ increases. Since the Python code made by Joe Theiss '19 was difficult to use due to the lack of explanations, annotations in the whole code were made.

The values of π£π₯ were computed in the range of 1 pixel β€ ππ β€ 8 pixels, 20 pixels β€ πβ β€50 pixels, and β45Β° β€ ππ β€ 45Β° to examine how ππ, πβ, and ππ affect π£π₯ and which factor alters π£π₯ the most. Td was identified to be the most important variable, with a clear inverse relationship following π£π₯=(35.9Β±0.1)βππ(β1.055Β±0.003) pixels/second. πβ and ππ were identified to affect the acceleration, while ππ was identified to affect the initial speed. Since the effect on initial speed varied π£π₯ from 3 pixels/second to 33 pixels/second while the effect on acceleration varied π£π₯ from 4 pixels/second to 8 pixels/second, the effect on initial speed was stronger and it was the reason why ππ was the most important variable.

It was exciting to investigate large amount of π£π₯values and determine the relationship with a specific equation. The wind effect on π£π₯ can be simulated in the further research because wind strongly affects π£π₯ in nature.