Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
Sensitivity analysis to unsteady perturbations of complex flows: a discrete approach
Year:2014
Research Areas
  • Aeronautical engineering
Information
Abstract
A discrete framework for computing the global stability and sensitivity analysis to external perturbations for any set of partial differential equations is presented. In particular, a complex-step approximation is used to achieve near analytical accuracy for the evaluation of the Jacobian matrix. Sensitivity maps for the sensitivity to base flow modifications and to a steady force are computed to identify regions of the flow field where an input could have a stabilising effect. Four test cases are presented: (1) an analytical test case to prove the theory of the discrete framework, (2) a lid-driven cavity at low Reynolds case to show the improved accuracy in the calculation of the eigenvalues when using the complex-step approximation, (3) the 2D flow past a circular cylinder at just below the critical Reynolds number used to validate the methodology, and finally, (4) the flow past an open cavity presented to give an example of the discrete method applied to a convectively unstable case. The latter three (2?4) of the aforementioned cases were solved with the 2D compressible Navier?Stokes equations using a Discontinuous Galerkin Spectral Element Method. Good agreement was obtained for the validation test case, (3), with appropriate results in the literature. Furthermore, it is shown that for the calculation of the direct and adjoint eigenmodes and their sensitivity maps to external perturbations, the use of complex variables is paramount for obtaining an accurate prediction.
International
Si
JCR
Si
Title
International Journal For Numerical Methods in Fluids
ISBN
0271-2091
Impact factor JCR
1,329
Impact info
Datos JCR del año 2013
Volume
76
10.1002/fld.3962
Journal number
12
From page
1088
To page
1110
Month
DICIEMBRE
Ranking
Participants
  • Autor: Oliver Browne (UPM)
  • Autor: Gonzalo Rubio Calzado (UPM)
  • Autor: Esteban Ferrer Vaccarezza (UPM)
  • Autor: Eusebio Valero Sanchez (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Métodos y Aplicaciones Numéricas a la Tecnología Aeroespacial
  • Departamento: Matemática Aplicada a la Ingeniería Aeroespacial
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)