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My PhD thesis (in progress!)

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Chapter: DMD

aaren opened this issue · comments

  • General plan is good, just need to get on paper.
  • Where possible make remarks about key physical features.
  • Possibly worth a focus on the lower level structures.
  • Mention EOF earlier on.
    • emphasise advantage over EOF immediately
  • 'approx state space trajectory' - how does EOF do this? (maximises variance)
  • make sure explanation clear to an experimental reader
  • Translational structures
    • EOF can represent with pairs of modes with similar variance. These can show sinusoidal translation. Classic example is in MJO.
    • Can we see translational structures in DMD modes? (KH billows)
  • Can we order modes differently?
    • length scale of features?
    • variance at low levels?
  • Do any of the modes show a low level signal?
  • Do the larger scale (or any scale) modes have events propagating to the surface?
  • Can we take first two DMD / EOF modes and recompose into a timeseries? Can we still see KH?
  • Wheeler Hendon diagrams
    • Can we do this for DMD?
    • Should be trivial (Im vs. Re for mode) -> should give spiral in phase space
    • Can we compare with EOF?
  • Multiple runs
    • Just look for consistency between runs
  • Can we feed in e.g. momentum flux? Same result?
  • Conclusions
    1. How do EOF / DMD describe known structures (KH billows)?
    2. What do we learn about low levels and other things? Length of head etc.