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Paredes Gonzalez
Pedro

Theofilis
Vassilios

Rodríguez Álvarez
Daniel

Tendero Ventanas
Juan Angel
The PSE3D instability analysis methodology for flows depending strongly on two and weakly on the third spatial dimension
AIAA
byncnd
pub
 mecanica
 aeronautica
public
paper
The present contribution discusses the development of a PSE3D instability analysis algorithm, in which a matrix forming and storing approach is followed. Alternatively to the typically used in stability calculations spectral methods, new stable highorder ﬁnitediﬀerencebased numerical schemes for spatial discretization 1 are employed. Attention is paid to the issue of eﬃciency, which is critical for the success of the overall algorithm. To this end, use is made of a parallelizable sparse matrix linear algebra package which takes advantage of the sparsity oﬀered by the ﬁnitediﬀerence scheme and, as expected, is shown to perform substantially more eﬃciently than when spectral collocation methods are used. The building blocks of the algorithm have been implemented and extensively validated, focusing on classic PSE analysis of instability on the ﬂowplate boundary layer, temporal and spatial BiGlobal EVP solutions (the latter necessary for the initialization of the PSE3D), as well as standard PSE in a cylindrical coordinates using the nonparallel Batchelor vortex basic ﬂow model, such that comparisons between PSE and PSE3D be possible; excellent agreement is shown in all aforementioned comparisons. Finally, the linear PSE3D instability analysis is applied to a fully threedimensional ﬂow composed of a counterrotating pair of nonparallel Batchelor vortices.
published
2011
EEUU
00
6th AIAA Theoretical Fluid Mechanics Conference
Honolulu, Hawaii, USA
27/06/2011  30/06/2011
conference
Aeronauticos
Motopropulsion
TRUE
9781624101441
Proceedings of 6th Theoretical Fluid Mechanics Conference
http://arc.aiaa.org/doi/book/10.2514/MTFC11