13 citations · 18 across the 5 of their papers we have counts for
5 papers
A Theory of Inertial Range Similarity in Isotropic Turbulence
Mogens V. Melander, Bruce R. Fabijonas
We consider equilibrium statistics for high Reynolds number isotropic turbulence in an incompressible flow driven by steady forcing at the largest scale. Motivated by shell model o…
Intermittency via Self-Similarity -- An Analytic Example
Mogens V. Melander, Bruce R. Fabijonas
Turbulence is known to show intermittency. That is, statistical properties vary with the length scale in a way not accounted for by statistical similarity where dimensionless ratio…
Elliptic instability in the Lagrangian-averaged Euler-Boussinesq-alpha equations
Bruce R. Fabijonas, Darryl D. Holm
We examine the effects of turbulence on elliptic instability of rotating stratified incompressible flows, in the context of the Lagragian-averaged Euler-Boussinesq-alpha, or \laeba…
Euler-Poincare formulation and elliptic instability for nth-gradient fluids
Bruce R. Fabijonas, Darryl D. Holm
The energy of an gradient fluid depends on its Eulerian velocity gradients of order . A variational principle is introduced for the dynamics of gradient fluids…
Mean effects of turbulence on elliptic instability in fluids
Bruce R. Fabijonas, Darryl D. Holm
Elliptic instability in fluids is discussed in the context of the Lagrangian-averaged Navier-Stokes-alpha (LANS) turbulence model. This model preserves the Craik-Criminale (CC)…