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Dynamic Mode Decomposition (DMD) effectively analyzes nonlinear plasma dynamics in resistive magnetohydrodynamics. This method provides accurate, low-rank models for systems like the helicity injected torus with steady inductive (HIT-SI) magnetohydrodynamics.

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Area of Science:

  • Plasma Physics
  • Fluid Dynamics
  • Nonlinear Dynamics

Background:

  • Magnetohydrodynamics (MHD) describes plasma behavior.
  • Nonlinear dynamics in magnetized plasmas are complex to analyze.
  • Resistive MHD introduces dissipative effects.

Purpose of the Study:

  • Apply Dynamic Mode Decomposition (DMD) to analyze nonlinear plasma dynamics.
  • Characterize the dynamics of magnetized plasmas in resistive MHD.
  • Develop reduced-order models for complex plasma systems.

Main Methods:

  • Utilized Dynamic Mode Decomposition (DMD) for spatio-temporal data analysis.
  • Applied DMD to both numerical and experimental data.
  • Correlated spatial features with temporal behavior for mode identification.

Main Results:

  • DMD successfully characterized the nonlinear dynamics of magnetized plasma.
  • Identified interpretable dominant modes, including stationary and injector-driven modes.
  • Developed a 3-mode DMD model that accurately reconstructs system dynamics.

Conclusions:

  • DMD is a powerful tool for the diagnostic analysis of resistive MHD plasmas.
  • DMD enables high-fidelity, reduced-order modeling with computational efficiency.
  • The method accurately characterizes complex plasma phenomena like those in HIT-SI.