Vertex Correction in Turbulence

QED Vertex Correction

so we take the incoming and the outgoing electrons to be on-shell, p2 = p′2 = m2, but the photon is off-shell, q2 6= 0. Moreover, we put the vertex in the context of the complete electron line — including the external line factors, thus ū(p′)× ieΓμ × u(p). As discussed in class, this simplifies the Lorentz and Dirac structure of the vertex and allows us to write it as Γ(p, p) = Fel(q )× (p′ + p...

QED Vertex Correction: Working through the Algebra

Hot-Wire Attenuation and Its Correction in Turbulence Measurements

A scheme is proposed for correcting the hot-wire attenuation in turbulence measurements in both frequency and time domains. The scheme is tested for simulated hot-wire signals under velocity impulse and sinusoidal perturbations of various frequencies. It is found that the frequency response of the hotwire system and the calculated central moments, after applying the correction, can be greatly i...

Spatial resolution correction for hot-wire anemometry in wall turbulence

We investigate spatial resolution issues in hot-wire anemometry measurements of turbulence intensity and energy spectra. Single normal hot-wire measurements are simulated by means of filtering direct numerical simulation (DNS) of turbulent channel flow at Res 1⁄4 934. Through analysis of the two-dimensional energy spectra from the DNS, the attenuation of the small-scale energy levels is documen...

Implementation of the Centroid Method for the Correction of Turbulence

The centroid method for the correction of turbulence consists in computing the Karcher-Fréchet mean of the sequence of input images. The direction of deformation between a pair of images is determined by the optical flow. A distinguishing feature of the centroid method is that it can produce useful results from an arbitrarily small set of input images. Source Code The source code and a online d...