High-order methods for the numerical solution of the BiGlobal linear stability eigenvalue problem in complex geometries.

González Gutierrez, Leo Miguel and Theofilis, Vassilios and Sherwin, Spencer (2010). High-order methods for the numerical solution of the BiGlobal linear stability eigenvalue problem in complex geometries.. "International Journal for Numerical Methods in Fluids", v. 65 (n. 8); pp. 923-952. ISSN 0271-2091. https://doi.org/10.1002/fld.2220.

Description

Title: High-order methods for the numerical solution of the BiGlobal linear stability eigenvalue problem in complex geometries.
Author/s:
  • González Gutierrez, Leo Miguel
  • Theofilis, Vassilios
  • Sherwin, Spencer
Item Type: Article
Título de Revista/Publicación: International Journal for Numerical Methods in Fluids
Date: January 2010
ISSN: 0271-2091
Volume: 65
Subjects:
Freetext Keywords: BiGlobal;stability;spectral elements;finite elements;complex geometries;eigenvalues
Faculty: E.T.S.I. Navales (UPM)
Department: Enseñanzas Básicas de la Ingeniería Naval [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 (1MB) | Preview

Abstract

A high-order computational tool based on spectral and spectral/hp elements (J. Fluid. Mech. 2009; to appear) discretizations is employed for the analysis of BiGlobal fluid instability problems. Unlike other implementations of this type, which use a time-stepping-based formulation (J. Comput. Phys. 1994; 110(1):82–102; J. Fluid Mech. 1996; 322:215–241), a formulation is considered here in which the discretized matrix is constructed and stored prior to applying an iterative shift-and-invert Arnoldi algorithm for the solution of the generalized eigenvalue problem. In contrast to the time-stepping-based formulations, the matrix-based approach permits searching anywhere in the eigenspace using shifting. Hybrid and fully unstructured meshes are used in conjunction with the spatial discretization. This permits analysis of flow instability on arbitrarily complex 2-D geometries, homogeneous in the third spatial direction and allows both mesh (h)-refinement as well as polynomial (p)-refinement. A series of validation cases has been defined, using well-known stability results in confined geometries. In addition new results are presented for ducts of curvilinear cross-sections with rounded corners.

More information

Item ID: 6740
DC Identifier: http://oa.upm.es/6740/
OAI Identifier: oai:oa.upm.es:6740
DOI: 10.1002/fld.2220
Official URL: http://onlinelibrary.wiley.com/doi/10.1002/fld.2220/abstract
Deposited by: Memoria Investigacion
Deposited on: 27 Apr 2011 13:44
Last Modified: 20 Apr 2016 15:55
  • 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