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Turbulence Science

  Magnetic current sheet roll-up
  This figure is a close-up view of a magnetic current sheet in an MHD computation done on a grid of 15363 points. Current sheets are numerous in the earth's magnetosphere and in the solar corona, and their instability is poorly understood. The figure shows current sheet roll-up seen in nature and similar to the Kelvin-Helmoltz instability of classical fluids; turbulence science studies are designed to help us understand the factors causing such instability.

The Turbulence Numerics Team (TNT) investigates homogeneous and isotropic turbulence at high Reynolds numbers, incorporating new phenomena: advection-diffusion with condensation and dispersion in midlatitude troposphere, bounds on energy and enstrophy dissipation, instability domain in shear stratified fluids, intermittency in models of turbulent flows, and rotation (first with periodic boundary conditions). A striking result concerns the determination of nonlocality of nonlinear transfer, i.e. the relative importance of interactions between widely separated scales.

TNT's FY 2006 work in magnetohydrodynamics (MHD) pursued the search for threshold for dynamo action in fluids at low magnetic Prandtl numbers PM for a variety of flows, and the instability was detected down to PM~0.005; inverse cascade of magnetic helicity and Hall MHD as relevant to the magnetosphere are also investigated. We also began exploring turbulent flows with boundaries but at moderate Reynolds numbers. Furthermore, code was developed to achieve a computation at NCAR of decaying MHD turbulence on a grid of 1,5363 points, self-similar growth of current maxima was detected, and roll-up of current sheets in a turbulent environment was observed for the first time (see figure).

This work will be pursued further in FY 2007, and we will also explore turbulent flows in two dimensions with adaptive codes and multiresolution analysis.

More information about this work appears in the CISL Research Catalog.

TNT research supports NCAR's strategic priorities "Conducting research in computer science, applied mathematics, statistics, and numerical models" and "Creating a conceptual framework for integrating research across time and space scales to aid decision makers and enrich understanding of processes across scales." TNT is sponsored by NSF Core funds and partially by NSF grant CMG-0327888.