Linear instability of orthogonal compressible leading-edge boundary layer flow
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.
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.Attached Files
Published - GennaroAIAA2011.pdf
Files
Name | Size | Download all |
---|---|---|
md5:b5821ae6eded28aaa3107d19c3e7d347
|
4.4 MB | Preview Download |
Additional details
- Eprint ID
- 98937
- Resolver ID
- CaltechAUTHORS:20190930-110458438
- Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
- MICINN-TRA2009-13648
- Ministerio de Ciencia e Innovación (MCINN)
- Created
-
2019-10-04Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Other Numbering System Name
- AIAA Paper
- Other Numbering System Identifier
- 2011-3751