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Memorias de investigación
Artículos en revistas:
Order 10^4 speedup in global instability analysis using matrix formation
Año:2013
Áreas de investigación
  • Mecánica de fluidos
Datos
Descripción
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.
Internacional
Si
JCR del ISI
Si
Título de la revista
Computer Methods in Applied Mechanics and Engineering
ISSN
0045-7825
Factor de impacto JCR
2,6
Información de impacto
Volumen
253
DOI
/10.1016/j.cma.2012.09.014
Número de revista
Desde la página
287
Hasta la página
304
Mes
SIN MES
Ranking
5/6/8 de 90/92/132
Esta actividad pertenece a memorias de investigación
Participantes
  • Autor: Pedro Paredes Gonzalez (UPM)
  • Autor: Miguel Hermanns (UPM)
  • Autor: Soledad Le Clainche Martinez (UPM)
  • Autor: Vassilios Theofilis (UPM)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • 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
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