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Memorias de investigación
Research Publications in journals:
Order 10^4 speedup in global instability analysis using matrix formation
Year:2013
Research Areas
  • Fluid mechanics
Information
Abstract
A unified solution framework is presented for one-, two- or three-dimensional complex non-symmetric eigenvalue problems, respectively governing linear modal instability of incompressible fluid flows in rectangular domains having two, one or no homogeneous spatial directions. The solution algorithm is based on subspace iteration in which the spatial discretization matrix is formed, stored and inverted serially. Results delivered by spectral collocation based on the Chebyshev-Gauss?Lobatto (CGL) points and a suite of high-order finite-difference methods comprising the previously employed for this type of work Dispersion-Relation-Preserving (DRP) and Padé finite-difference schemes, as well as the Summationby- parts (SBP) and the new high-order finite-difference scheme of order q (FD-q) have been compared from the point of view of accuracy and efficiency in standard validation cases of temporal local and BiGlobal linear instability. The FD-q method has been found to significantly outperform all other finite difference schemes in solving classic linear local, BiGlobal, and TriGlobal eigenvalue problems, as regards both memory and CPU time requirements. Results shown in the present study disprove the paradigm that spectral methods are superior to finite difference methods in terms of computational cost, at equal accuracy, FD-q spatial discretization delivering a speedup of Oð104Þ. Consequently, accurate solutions of the three-dimensional (TriGlobal) eigenvalue problems may be solved on typical desktop computers with modest computational effort.
International
Si
JCR
Si
Title
Computer Methods in Applied Mechanics and Engineering
ISBN
0045-7825
Impact factor JCR
2,6
Impact info
Volume
253
/10.1016/j.cma.2012.09.014
Journal number
From page
287
To page
304
Month
SIN MES
Ranking
5/6/8 de 90/92/132
Participants
  • Autor: Pedro Paredes Gonzalez (UPM)
  • Autor: Miguel Hermanns (UPM)
  • Autor: Soledad Le Clainche Martinez (UPM)
  • Autor: Vassilios Theofilis (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Análisis y experimentación en mecánica de fluidos y combustión
  • Grupo de Investigación: Mecánica de Fluidos Computacional
  • Departamento: Motopropulsión y Termofluidodinámica
  • Departamento: Fundamentos Matemáticos de la Tecnología Aeronáutica
S2i 2019 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)