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

Rodion Stepanov, Franck Plunian, Mouloud Kessar, and Guillaume Balarac
Phys. Rev. E 90, 053309 – Published 21 November 2014

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.

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  • Received 8 September 2014

DOI:https://doi.org/10.1103/PhysRevE.90.053309

©2014 American Physical Society

Authors & Affiliations

Rodion Stepanov*

  • 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

Franck Plunian

  • Université Grenoble Alpes, ISTerre, F-38000 Grenoble, France and CNRS, ISTerre, F-38000 Grenoble, France

Mouloud Kessar and Guillaume Balarac

  • Université Grenoble Alpes, LEGI, F-38000 Grenoble, France and CNRS, LEGI, F-38000 Grenoble, France

  • *rodion@icmm.ru

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Vol. 90, Iss. 5 — November 2014

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