Removal of spurious modes encountered in solving stability problems by spectral methods
A technique based on the Galerkin approximation is developed to remove spurious roots arising when Chebyshev spectral methods are used to solve eigenvalue problems in hydrodynamic stability. The derivation of Galerkin-Chebyshev approximations is explained, and numerical results for the Orr-Sommerfel...
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| Veröffentlicht in: | Journal of computational physics 1987-06, Vol.70 (2), p.521-525 |
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| container_end_page | 525 |
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| container_title | Journal of computational physics |
| container_volume | 70 |
| creator | Zebib, Abdelfattah |
| description | A technique based on the Galerkin approximation is developed to remove spurious roots arising when Chebyshev spectral methods are used to solve eigenvalue problems in hydrodynamic stability. The derivation of Galerkin-Chebyshev approximations is explained, and numerical results for the Orr-Sommerfeld equations of plane Poiseuille flow and a Blasius profile are presented in tables and compared with those obtained by the method of Zebib (1984). It is pointed out that the present method does not increase the size of the algebraic system to be solved. |
| doi_str_mv | 10.1016/0021-9991(87)90193-8 |
| format | Article |
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The derivation of Galerkin-Chebyshev approximations is explained, and numerical results for the Orr-Sommerfeld equations of plane Poiseuille flow and a Blasius profile are presented in tables and compared with those obtained by the method of Zebib (1984). 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The derivation of Galerkin-Chebyshev approximations is explained, and numerical results for the Orr-Sommerfeld equations of plane Poiseuille flow and a Blasius profile are presented in tables and compared with those obtained by the method of Zebib (1984). 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| fulltext | fulltext |
| identifier | ISSN: 0021-9991 |
| ispartof | Journal of computational physics, 1987-06, Vol.70 (2), p.521-525 |
| issn | 0021-9991 1090-2716 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_24648911 |
| source | Elsevier ScienceDirect Journals; NASA Technical Reports Server |
| subjects | Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Hydrodynamic stability Numerical Analysis Physics |
| title | Removal of spurious modes encountered in solving stability problems by spectral methods |
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