RT Conference Proceedings
SR 00
A1 Paredes Gonzalez, Pedro
A1 Theofilis, Vassilios
A1 Rodríguez Álvarez, Daniel
A1 Tendero Ventanas, Juan Angel
T1 The PSE-3D instability analysis methodology for flows depending strongly on two and weakly on the third spatial dimension
YR 2011
FD 27/06/2011 - 30/06/2011
AB The present contribution discusses the development of a PSE-3D 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 high-order ﬁnitediﬀerence-based 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 ﬁnite-diﬀerence 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 ﬂow-plate boundary layer, temporal and spatial BiGlobal EVP solutions (the latter necessary for the initialization of the PSE-3D), as well as standard PSE in a cylindrical coordinates using the nonparallel Batchelor vortex basic ﬂow model, such that comparisons between PSE and PSE-3D be possible; excellent agreement is shown in all aforementioned comparisons. Finally, the linear PSE-3D instability analysis is applied to a fully three-dimensional ﬂow composed of a counter-rotating pair of nonparallel Batchelor vortices.
T2 6th AIAA Theoretical Fluid Mechanics Conference
ED Honolulu, Hawaii, USA
SN 978-1-62410-144-1
AV Published
LK http://oa.upm.es/13082/
UL http://arc.aiaa.org/doi/book/10.2514/MTFC11