Self-Similar Subgrid-Scale Models for Inertial Range Turbulence and Accurate Measurements of Intermittency

Inertial Manifolds for Certain Subgrid-Scale α-Models of Turbulence

In this note we prove the existence of an inertial manifold, i.e., a global invariant, exponentially attracting, finite-dimensional smooth manifold, for two different sub-grid scale α-models of turbulence: the simplified Bardina model and the modified Leray-α model, in two-dimensional space. That is, we show the existence of an exact rule that parameterizes the dynamics of small spatial scales ...

Can the dynamic eddy-viscosity class of subgrid-scale models capture inertial- range properties of Burgers turbulence?

Self-similar signature of the active solar corona within the inertial range of solar-wind turbulence.

We quantify the scaling of magnetic energy density in the inertial range of solar-wind turbulence seen in situ at 1 AU with respect to solar activity. At solar maximum, when the coronal magnetic field is dynamic and topologically complex, we find self-similar scaling in the solar wind, whereas at solar minimum, when the coronal fields are more ordered, we find multifractality. This quantifies t...

Scale resolved intermittency in turbulence

The deviations Scm (“intermittency corrections”) from classical (“K41”) scaling c,==m/3 of the mth moments ( 1 u(p) I”) in high Reynolds number turbulence are calculated, extending a method to approximately solve the Navier-Stokes equation described earlier. It is suggested to introduce the notion of scale resolved intermittency corrections Sk,(p), because these &L&(p) are found to be large in ...

Time-reversibility of Navier-Stokes turbulence and its implication for subgrid scale models