Living on Stolen Time

ClubOrlov

Consider a flame; a jet of methane, for example, injected into an oxygen-rich atmosphere and set alight. Now try to describe the shape and structure of the flame mathematically, in a way that will allow you to accurately predict how its shape and structure respond to changes in various conditions—oxygen concentration, gas pressure and so on. You will quickly discover that the mathematics of the problem can be derived from basic physical principles but are intractable: there are equations that accurately describe the situation, but they are too difficult to solve. Often the easiest solution, one that is practical in the case of a simple gas jet, is to build a physical model or a prototype, test it, and make some observations and measurements that characterize the system. But what if that's not possible? Then the usual recourse is to build a computational model that simplifies the physics in various ways and brute-forces the solution by crunching through lots of numbers.

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