A systematic bias in the calculation of spectral density from a 3D spatial grid

Abstract

The energy spectral density $E(k)$, where $k$ is the spatial wave number, is a well-known diagnostic of homogeneous turbulence and magnetohydrodynamic turbulence. However in most of the curves plotted by different authors, some systematic kinks can be observed at $k=9$, $k=15$ and $k=19$. We claim that these kinks have no physical meaning, and are in fact the signature of the method which is used to estimate $E(k)$ from a 3D spatial grid. In this paper we give another method, in order to get rid of the spurious kinks and to estimate $E(k)$ much more accurately.

4 pages, in PRE

References in corpus (3)

• Shell Models of Magnetohydrodynamic Turbulence
• Is nonhelical hydromagnetic turbulence peaked at small scales?
• Non-local interactions in hydrodynamic turbulence at high Reynolds numbers: the slow emergence of scaling laws

Cited by in corpus (1)

• Dynamic regimes in planetary cores: τ-{\ell} diagrams