Data Driven Modeling of Nonlinear Dynamics in a Rotating Detonation Combustor via Finite Dimensional Approximations of the Koopman Operator
Using math to untangle the chaotic waves inside experimental rocket engines
Researchers used high-speed video of flame patterns inside a rotating detonation engine to build mathematical models that predict how the combustion waves behave. By applying a technique called Koopman operator theory to the flame data, they could break down complex, nonlinear wave interactions into simpler, understandable pieces—even capturing standing wave patterns and noise that standard methods miss.
Rotating detonation engines could be significantly more efficient than conventional combustors, but engineers first need to predict and control their unpredictable wave behavior. These models provide a practical tool to understand what's happening inside the engine in real time, which is essential for tuning operating conditions and preventing unwanted vibrations or instability that could damage hardware.