[Trilinos-Users] Trilinos, Spectral Methods, Fast Fourier Transforms

[Rhys Ulerich]

>
> I am not aware of any Trilinos packages implementing Fourier or Chebyshev
> transforms, but I would be grateful if you have any suggestions as to how to
> perform Fast Fourier (Chebishev) Transforms starting from Epetra_Vectors.
>

One approach is to perform transforms in each direction independently a la
P3DFFT (http://www.sdsc.edu/us/resources/p3dfft/).  You rearrange the data
so that a full, say, Y pencil is located on a single processor and then
transform only in Y.  Repeat for the other transformed dimensions.  The
presentation on the above page does a better job explaining the idea than
the user's guide does.  This technique forms the underpinnings of some
large-scale spectral DNS codes.   I am not sure how well suited the Trilinos
APIs are for this approach.

- Rhys


On Tue, Jul 28, 2009 at 7:27 AM, Daniele Avitabile <d.avitabile at gmail.com>wrote:

> Hi all,
> I am embarking into a project where the use of Spectral Methods seems to be
> a natural choice. Before starting to code, I would like to know if anybody
> has ever used Spectral Methods with Trilinos.
>
> I am not aware of any Trilinos packages implementing Fourier or Chebyshev
> transforms, but I would be grateful if you have any suggestions as to how to
> perform Fast Fourier (Chebishev) Transforms starting from Epetra_Vectors.
>
> As of now, I am thinking of taking an Epetra_Vector, bring all its content
> on the root process, turn it into a standard vector and then call the
> Fortran FFTs, but I am pretty sure there must be a quicker and more elegant
> way to do FFTs in parallel, with C++ codes.
>
> Any suggestions?
>
>
> Best.
>
> Daniele
>
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