Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
High-order methods for the numerical solution of the BiGlobal linear stability eigenvalue problem in complex geometries.
Year:2010
Research Areas
  • Mechanical aeronautics and naval engineering
Information
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.
International
Si
JCR
Si
Title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
ISBN
0271-2091
Impact factor JCR
0,936
Impact info
Volume
Journal number
From page
923
To page
952
Month
ENERO
Ranking
Participants
  • Autor: Leo Miguel Gonzalez Gutierrez (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: CEHINAV (Canal de Ensayos Hidrodinámicos de la E.T.S.I. Navales)
  • Departamento: Enseñanzas Básicas de la Ingeniería Naval
S2i 2020 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)