Systematic bias in the calculation of spectral density from a three-dimensional spatial grid

Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Nov;90(5-1):053309. doi: 10.1103/PhysRevE.90.053309. Epub 2014 Nov 21.

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, 15, and 19. We claim that these kinks have no physical meaning and are in fact the signature of the method that is used to estimate E(k) from a three-dimensional 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.