[Nek5000-users] wavelet decomposition

[nek5000-users at lists.mcs.anl.gov]

Hi Hesam,


I've not looked in detail at this paper, but my guess is that you're trying to do some convolution sums.  (How many?)


One option is just to do them.  For n points, the cost for each

is O(n).


Another option (perhaps), is to map all your data onto a uniform

grid and use an FFT-based convolution (provided your method

can be written this way, as I've seen in at least one paper on the

topic).   Here, a parallel FFT might be of value (but there might be

other ways as well).


hth,


Paul


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From: Nek5000-users <nek5000-users-bounces at lists.mcs.anl.gov> on behalf of nek5000-users at lists.mcs.anl.gov <nek5000-users at lists.mcs.anl.gov>
Sent: Friday, October 27, 2017 2:34:02 PM
To: nek5000-users at lists.mcs.anl.gov
Subject: [Nek5000-users] wavelet decomposition

Dear all,

I would like to perform a wavelet decomposition on my DNS data of stratified turbulence generated using Nek5000. The details of the decomposition to extract coherent vorticies is explained in this paper:

Farge, M., Schneider, K., Pellegrino, G., Wray, A. A., & Rogallo, R. S. (2003). Coherent vortex extraction in three-dimensional homogeneous turbulence: Comparison between CVS-wavelet and POD-Fourier decompositions. Physics of Fluids, 15(10), 2886-2896.

I am wondering if anyone in our community has had any experience with integrating the wavelet analysis with Nek5000 in the post-processing mode?

If not, would you suggest performing such a decomposition in the VisIt Python Interface using a python package like PyWavelets for example?

Thanks a lot for the help,

Regards,
Hesam
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