The PSE-3D instability analysis methodology for flows depending strongly on two and weakly on the third spatial dimension

Paredes Gonzalez, Pedro; Theofilis, Vassilios; Rodríguez Álvarez, Daniel y Tendero Ventanas, Juan Angel (2011). The PSE-3D instability analysis methodology for flows depending strongly on two and weakly on the third spatial dimension. En: "6th AIAA Theoretical Fluid Mechanics Conference", 27/06/2011 - 30/06/2011, Honolulu, Hawaii, USA. ISBN 978-1-62410-144-1. pp..

Descripción

Título: The PSE-3D instability analysis methodology for flows depending strongly on two and weakly on the third spatial dimension
Autor/es:
  • Paredes Gonzalez, Pedro
  • Theofilis, Vassilios
  • Rodríguez Álvarez, Daniel
  • Tendero Ventanas, Juan Angel
Tipo de Documento: Ponencia en Congreso o Jornada (Artículo)
Título del Evento: 6th AIAA Theoretical Fluid Mechanics Conference
Fechas del Evento: 27/06/2011 - 30/06/2011
Lugar del Evento: Honolulu, Hawaii, USA
Título del Libro: Proceedings of 6th Theoretical Fluid Mechanics Conference
Fecha: 2011
ISBN: 978-1-62410-144-1
Materias:
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Motopropulsión y Termofluidodinámica [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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.

Más información

ID de Registro: 13082
Identificador DC: http://oa.upm.es/13082/
Identificador OAI: oai:oa.upm.es:13082
URL Oficial: http://arc.aiaa.org/doi/book/10.2514/MTFC11
Depositado por: Memoria Investigacion
Depositado el: 04 Dic 2012 09:49
Ultima Modificación: 21 Abr 2016 12:23
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