Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems.

  title={Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems.},
  author={Themistoklis P. Sapsis and Andrew J. Majda},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  volume={110 34},
A framework for low-order predictive statistical modeling and uncertainty quantification in turbulent dynamical systems is developed here. These reduced-order, modified quasilinear Gaussian (ROMQG) algorithms apply to turbulent dynamical systems in which there is significant linear instability or linear nonnormal dynamics in the unperturbed system and energy-conserving nonlinear interactions that transfer energy from the unstable modes to the stable modes where dissipation occurs, resulting in… CONTINUE READING
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