ahbwramc comments on In praise of gullibility? - Less Wrong Discussion
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How much experience do you have with scientific computation?
Disagreed. The more uncertainty you incorporate into your model (i.e., tracking distributions over temperatures in cells instead of tracking point estimates of temperatures in cells), the more arithmetic you need to do, and thus the sooner calculation noise raises its ugly head.
Many combustion modeling approaches do precisely this. Look into prescribed PDF methods, for example. You can see the necessity of this by recognizing that ignition can occur if the temperature anywhere in a cell is above the ignition temperature.
(There is also the slightly confusing issue that these distributions are not the same thing as the distribution of possible realizations.)