Direct and adjoint global stability analysis of turbulent transonic flows over a NACA0012 profile

Iorio, Maria Chiara; Gonzalez, Leo M. y Ferrer, E. (2014). Direct and adjoint global stability analysis of turbulent transonic flows over a NACA0012 profile. "International Journal for Numerical Methods in Fluids", v. 76 (n. 3); pp. 147-168. ISSN 1097-0363. https://doi.org/10.1002/fld.3929.

Descripción

Título: Direct and adjoint global stability analysis of turbulent transonic flows over a NACA0012 profile
Autor/es:
  • Iorio, Maria Chiara
  • Gonzalez, Leo M.
  • Ferrer, E.
Tipo de Documento: Artículo
Título de Revista/Publicación: International Journal for Numerical Methods in Fluids
Fecha: Septiembre 2014
Volumen: 76
Materias:
Palabras Clave Informales: stability analysis; shock wave; RANS turbulence model; buffet; adjoint mode; structural sensitivity
Escuela: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Departamento: Otro
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

In this work, various turbulent solutions of the two-dimensional (2D) and three-dimensional compressible Reynolds averaged Navier?Stokes equations are analyzed using global stability theory. This analysis is motivated by the onset of flow unsteadiness (Hopf bifurcation) for transonic buffet conditions where moderately high Reynolds numbers and compressible effects must be considered. The buffet phenomenon involves a complex interaction between the separated flow and a shock wave. The efficient numerical methodology presented in this paper predicts the critical parameters, namely, the angle of attack and Mach and Reynolds numbers beyond which the onset of flow unsteadiness appears. The geometry, a NACA0012 profile, and flow parameters selected reproduce situations of practical interest for aeronautical applications. The numerical computation is performed in three steps. First, a steady baseflow solution is obtained; second, the Jacobian matrix for the RANS equations based on a finite volume discretization is computed; and finally, the generalized eigenvalue problem is derived when the baseflow is linearly perturbed. The methodology is validated predicting the 2D Hopf bifurcation for a circular cylinder under laminar flow condition. This benchmark shows good agreement with the previous published computations and experimental data. In the transonic buffet case, the baseflow is computed using the Spalart?Allmaras turbulence model and represents a mean flow where the high frequency content and length scales of the order of the shear-layer thickness have been averaged. The lower frequency content is assumed to be decoupled from the high frequencies, thus allowing a stability analysis to be performed on the low frequency range. In addition, results of the corresponding adjoint problem and the sensitivity map are provided for the first time for the buffet problem. Finally, an extruded three-dimensional geometry of the NACA0012 airfoil, where all velocity components are considered, was also analyzed as a Triglobal stability case, and the outcoming results were compared to the previous 2D limited model, confirming that the buffet onset is well detected.

Más información

ID de Registro: 38032
Identificador DC: http://oa.upm.es/38032/
Identificador OAI: oai:oa.upm.es:38032
Identificador DOI: 10.1002/fld.3929
URL Oficial: http://onlinelibrary.wiley.com/doi/10.1002/fld.3929/abstract
Depositado por: Memoria Investigacion
Depositado el: 15 Feb 2016 19:43
Ultima Modificación: 15 Feb 2016 19:43
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