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We demonstrate the application of the Dynamic Mode Decomposition (DMD) forthe diagnostic analysis of the nonlinear dynamics of a magnetized plasma inresistive magnetohydrodynamics. The DMD method is an ideal spatio-temporalmatrix decomposition that correlates spatial features of computational orexperimental data while simultaneously associating the spatial activity withperiodic temporal behavior. DMD can produce low-rank, reduced order surrogatemodels that can be used to reconstruct the state of the system and producehigh-fidelity future state predictions. This allows for a reduction in thecomputational cost, and, at the same time, accurate approximations of theproblem, even if the data are sparsely sampled. We demonstrate the use of themethod on both numerical and experimental data, showing that it is a successfulmathematical architecture for characterizing the HIT-IS magnetohydrodynamics.Importantly, the DMD decomposition produces interpretable, dominant modestructures, including the spheromak mode and a pair of injector-driven modes.In combination, the 3-mode DMD model produces excellent dynamic reconstructionsthat can be used for future state prediction and/or control strategies.

Dynamic Mode Decomposition for Plasma Diagnostics and Validation