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Simulating Combustion Instability

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Your question is Simulating Combustion Instability. Take a moment with it on the right.

Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).

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Problem

How would you model a physical phenomenon, such as combustion instability, and what software tools or languages would you use to simulate it?