title: Systematic bias in the calculation of spectral density from a three-dimensional 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, 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.
authors.affiliation: Institute of Continuous Media Mechanics, Korolyov Street 1, 614013 Perm, Russia and Department of Applied Mathematics and Mechanics, Perm National Research Polytechnic University, Komsomolskii Avenue 29, 614990 Perm, Russia.
authors.forename: Rodion
authors.initials: R
authors.lastname: Stepanov
authors.affiliation: Université Grenoble Alpes, ISTerre, F-38000 Grenoble, France and CNRS, ISTerre, F-38000 Grenoble, France.
authors.forename: Franck
authors.initials: F
authors.lastname: Plunian
authors.affiliation: Université Grenoble Alpes, LEGI, F-38000 Grenoble, France and CNRS, LEGI, F-38000 Grenoble, France.
authors.forename: Mouloud
authors.initials: M
authors.lastname: Kessar
authors.affiliation: Université Grenoble Alpes, LEGI, F-38000 Grenoble, France and CNRS, LEGI, F-38000 Grenoble, France.
authors.forename: Guillaume
authors.initials: G
authors.lastname: Balarac