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Linear instability of orthogonal compressible leading-edge boundary layer flow

Gennaro, E. M. and Rodríguez, D. and Medeiros, M. A. F. and Theofilis, V. (2011) Linear instability of orthogonal compressible leading-edge boundary layer flow. In: 6th AIAA Theoretical Fluid Mechanics Conference. American Institute of Aeronautics and Astronautics , Reston, Virigina, Art. No. 2011-3751. ISBN 9781624101441. https://resolver.caltech.edu/CaltechAUTHORS:20190930-110458438

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Abstract

Instability analysis of compressible orthogonal swept leading-edge boundary layer flow was performed in the context of BiGlobal linear theory. An algorithm was developed exploiting the sparsity characteristics of the matrix discretizing the PDE-based eigenvalue problem. This allowed use of the MUMPS sparse linear algebra package to obtain a direct solution of the linear systems associated with the Arnoldi iteration. The developed algorithm was then applied to efficiently analyze the effect of compressibility on the stability of the swept leading-edge boundary layer and obtain neutral curves of this flow as a function of the Mach number in the range 0 < Ma < 1. The present numerical results fully confirmed the asymptotic theory results of Theofilis et al. Up to the maximum Mach number value studied, it was found that an increase of this parameter reduces the critical Reynolds number and the range of the unstable spanwise wavenumbers.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.2514/6.2011-3751DOIArticle
Additional Information:© 2011 American Institute of Aeronautics and Astronautics. The authors acknowledge the financial support of the National Council of Scientific and Technological Development - CNPq/Brazil, CAPES and the Spanish Ministry of Science and Innovation through Grant MICINN-TRA2009-13648: “Metodologias computacionales para la predicción de inestabilidades globales hidrodinámicas y aeroacústicas de flujos complejos”. Computations were performed on the FinisTerrae supercomputer of the Centro de Supercomputación de Galicia.
Funders:
Funding AgencyGrant Number
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)UNSPECIFIED
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)UNSPECIFIED
Ministerio de Ciencia e Innovación (MCINN)MICINN-TRA2009-13648
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AIAA Paper2011-3751
Record Number:CaltechAUTHORS:20190930-110458438
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190930-110458438
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98937
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:04 Oct 2019 21:23
Last Modified:04 Oct 2019 21:23

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