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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)…
Regularization modeling for large-eddy simulation
Bernard J. Geurts, Darryl D. Holm
A new modeling approach for large-eddy simulation (LES) is obtained by combining a `regularization principle' with an explicit filter and its inversion. This regularization approac…
Intermittency in the Joint Cascade of Energy and Helicity
Qiaoning Chen, Shiyi Chen, Gregory L. Eyink +1
The statistics of the energy and helicity fluxes in isotropic turbulence are studied using high resolution direct numerical simulation. The scaling exponents of the energy flux agr…
Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary pde
Darryl D. Holm, Martin F. Staley
We study exchange of stability in the dynamics of solitary wave solutions under changes in the nonlinear balance in a 1+1 evolutionary partial differential equation related both to…
Leray simulation of turbulent shear layers
Bernard J. Geurts, Darryl D. Holm
We consider so-called Leray regularization of the convective contributions. This gives rise to a subgrid parameterization which involves both explicit filtering and (approximate) i…
Wave Structures and Nonlinear Balances in a Family of 1+1 Evolutionary PDEs
Darryl D. Holm, Martin F. Staley
We study the following family of evolutionary 1+1 PDEs that describe the balance between convection and stretching for small viscosity in the dynamics of 1D nonlinear waves in flui…