New perspectives on superparameterization for geophysical turbulence

Andrew J. Majda, Ian Grooms

Research output: Contribution to journalArticle

Abstract

This is a research expository paper regarding superparameterization, a class of multi-scale numerical methods designed to cope with the intermittent multi-scale effects of inhomogeneous geophysical turbulence where energy often inverse-cascades from the unresolved scales to the large scales through the effects of waves, jets, vortices, and latent heat release from moist processes. Original as well as sparse space-time superparameterization algorithms are discussed for the important case of moist atmospheric convection including the role of multi-scale asymptotic methods in providing self-consistent constraints on superparameterization algorithms and related deterministic and stochastic multi-cloud parameterizations. Test models for the statistical numerical analysis of superparameterization algorithms are discussed both to elucidate the performance of the basic algorithms and to test their potential role in efficient multi-scale data assimilation. The very recent development of grid-free seamless stochastic superparameterization methods for geophysical turbulence appropriate for "eddy-permitting" mesoscale ocean turbulence is presented here including a general formulation and illustrative applications to two-layer quasigeostrophic turbulence, and another difficult test case involving one-dimensional models of dispersive wave turbulence. This last test case has randomly generated solitons as coherent structures which collapse and radiate wave energy back to the larger scales, resulting in strong direct and inverse turbulent energy cascades.

Original languageEnglish (US)
Pages (from-to)60-77
Number of pages18
JournalJournal of Computational Physics
Volume271
DOIs
StatePublished - Aug 15 2014

Fingerprint

Turbulence
turbulence
heat
cascades
vortices
Cascades (fluid mechanics)
Latent heat
asymptotic methods
scale effect
Parameterization
Solitons
assimilation
latent heat
Numerical analysis
Numerical methods
parameterization
Vortex flow
numerical analysis
energy
oceans

Keywords

  • Multi-scale algorithms
  • No scale separation
  • Stochastic backscatter
  • Subgridscale closure

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Computer Science Applications

Cite this

New perspectives on superparameterization for geophysical turbulence. / Majda, Andrew J.; Grooms, Ian.

In: Journal of Computational Physics, Vol. 271, 15.08.2014, p. 60-77.

Research output: Contribution to journalArticle

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