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- Jonathan Pietarila Graham, Darryl D Holm, Pablo D Mininni, Annick Pouquet
- Physical review. E, Statistical, nonlinear, and…
- 2007

We compute solutions of the Lagrangian-averaged Navier-Stokes alpha - (LANS alpha ) model for significantly higher Reynolds numbers (up to Re approximately 8300 ) than have previously been accomplished. This allows sufficient separation of scales to observe a Navier-Stokes inertial range followed by a second inertial range specific to the LANS alpha model.… (More)

- Jonathan Pietarila Graham, Pablo D Mininni, Annick Pouquet
- Physical review. E, Statistical, nonlinear, and…
- 2009

We demonstrate that, for the case of quasiequipartition between the velocity and the magnetic field, the Lagrangian-averaged magnetohydrodynamics (LAMHD) alpha model reproduces well both the large-scale and the small-scale properties of turbulent flows; in particular, it displays no increased (superfilter) bottleneck effect with its ensuing enhanced energy… (More)

- Jonathan Pietarila Graham, Eric G Blackman, Pablo D Mininni, Annick Pouquet
- Physical review. E, Statistical, nonlinear, and…
- 2012

Understanding the in situ amplification of large-scale magnetic fields in turbulent astrophysical rotators has been a core subject of dynamo theory. When turbulent velocities are helical, large-scale dynamos that substantially amplify fields on scales that exceed the turbulent forcing scale arise, but the minimum sufficient fractional kinetic helicity… (More)

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