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

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

Description

Title: The PSE-3D instability analysis methodology for flows depending strongly on two and weakly on the third spatial dimension
Author/s:
  • Paredes Gonzalez, Pedro
  • Theofilis, Vassilios
  • Rodríguez Álvarez, Daniel
  • Tendero Ventanas, Juan Angel
Item Type: Presentation at Congress or Conference (Article)
Event Title: 6th AIAA Theoretical Fluid Mechanics Conference
Event Dates: 27/06/2011 - 30/06/2011
Event Location: Honolulu, Hawaii, USA
Title of Book: Proceedings of 6th Theoretical Fluid Mechanics Conference
Date: 2011
ISBN: 978-1-62410-144-1
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Motopropulsión y Termofluidodinámica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (662kB) | Preview

Abstract

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.

More information

Item ID: 13082
DC Identifier: http://oa.upm.es/13082/
OAI Identifier: oai:oa.upm.es:13082
Official URL: http://arc.aiaa.org/doi/book/10.2514/MTFC11
Deposited by: Memoria Investigacion
Deposited on: 04 Dec 2012 09:49
Last Modified: 21 Apr 2016 12:23
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM