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Stepanov R, Plunian F, Kessar M, et al. Systematic bias in the calculation of spectral density from a three-dimensional spatial grid. Phys Rev E Stat Nonlin Soft Matter Phys. 2014;90(5):053309doi: 10.1103/PhysRevE.90.053309.
Stepanov, R., Plunian, F., Kessar, M., & Balarac, G. (2014). Systematic bias in the calculation of spectral density from a three-dimensional spatial grid. Physical review. E, Statistical, nonlinear, and soft matter physics, 90(5), 053309. https://doi.org/10.1103/PhysRevE.90.053309
Stepanov, Rodion, et al. "Systematic bias in the calculation of spectral density from a three-dimensional spatial grid." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 90,5 (2014): 053309. doi: https://doi.org/10.1103/PhysRevE.90.053309
Stepanov R, Plunian F, Kessar M, Balarac G. 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):053309. doi: 10.1103/PhysRevE.90.053309. Epub 2014 Nov 21. PMID: 25493906.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Nov;90(5):053309. doi: 10.1103/PhysRevE.90.053309. Epub 2014 Nov 21.

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

Physical review. E, Statistical, nonlinear, and soft matter physics

Rodion Stepanov, Franck Plunian, Mouloud Kessar, Guillaume Balarac

Affiliations

  1. 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.
  2. Université Grenoble Alpes, ISTerre, F-38000 Grenoble, France and CNRS, ISTerre, F-38000 Grenoble, France.
  3. Université Grenoble Alpes, LEGI, F-38000 Grenoble, France and CNRS, LEGI, F-38000 Grenoble, France.

PMID: 25493906 DOI: 10.1103/PhysRevE.90.053309

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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