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Abstract
The pseudospectral method, in conjunction with a technique for obtaining scaling exponents ζn from the structure functions Sn(r), is presented as an alternative to the extended selfsimilarity (ESS) method and the use of generalized structure functions. We propose plotting the ratio Sn(r)/S3(r) against the separation r in accordance with a standard technique for analyzing experimental data. This method differs from the ESS technique, which plots Sn(r) against S3(r), with the assumption S3(r)∼r. Using our method for the particular case of S2(r) we obtain the result that the exponent ζ2 decreases as the TaylorReynolds number increases, with ζ2→0.679±0.013 as Rλ→â. This supports the idea of finiteviscosity corrections to the K41 prediction for S2, and is the opposite of the result obtained by ESS. The pseudospectral method also permits the forcing to be taken into account exactly through the calculation of the energy input in real space from the work spectrum of the stirring forces.
Original language  English 

Article number  053010 
Journal  Physical Review E  Statistical, Nonlinear and Soft Matter Physics 
Volume  90 
Issue number  5 
DOIs  
Publication status  Published  20 Nov 2014 
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Dive into the research topics of 'Spectral analysis of structure functions and their scaling exponents in forced isotropic turbulence'. Together they form a unique fingerprint.Projects
 2 Finished

Particle Theory at the Higgs Centre
Ball, R., Berera, A., Boyle, P., CallisonBurch, C., Del Debbio, L., Gardi, E., Kennedy, A., O'Connell, D., Zwicky, R., Berera, A., Boyle, P., Buckley, A., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., Kenway, R., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/14 → 30/09/18
Project: Research

Particle Theory at the Tait Institute
Ball, R., Berera, A., Boyle, P., Del Debbio, L., FigueroaO'Farrill, J., Gardi, E., Horsley, R., Kennedy, A., Kenway, R., Pendleton, B. & Simon Soler, J.
1/10/11 → 30/09/15
Project: Research