A beginner's guide to the use of the spectral collocation method for solving some eigenvalue problems in fluid mechanics
IR@NAL: CSIR-National Aerospace Laboratories, Bangalore
View Archive Info| Field | Value | |
| Title |
A beginner's guide to the use of the spectral collocation method for solving some eigenvalue problems in fluid mechanics
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| Creator |
Srinivasan, Santhakumari
Klika, Michael Ludwig, Martin Heiko Ram, Vasanta V |
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| Subject |
Fluid Mechanics and Thermodynamics
Aerodynamics |
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| Description |
The present quot;Guidequot; aims to introduce- through selected examples the use of the spectral collocation method for solving eigenvalue problems. The focus of attention in the quot;Guidequot; is the recasting of the differential eigenvalue problem into its algebraic counterpart (matrix eigenvalue problem). Starting from an outline of the method, the steps of discretisation and transformation according to the spectral collocation method are illustrated in detail for the selected examples ordered according to increasing complexity. The two simple examples are differential equations of second and fourth order with constant coefficients. The chosen example from fluid mechanics is the propagation of small amplitude disturbances in the fully developed channel flow 13; (Orr-Sommerfeld equation). The quot;Guidequot; includes FORTRAN source programs for the examples.13; 13; 13;
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| Publisher |
National Aerospace Laboratories
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| Date |
1994-07
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| Type |
Proj.Doc/Technical Report
NonPeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://nal-ir.nal.res.in/1571/1/tr_pd_ea_9408_R87080_txt.pdf
Srinivasan, Santhakumari and Klika, Michael and Ludwig, Martin Heiko and Ram, Vasanta V (1994) A beginner's guide to the use of the spectral collocation method for solving some eigenvalue problems in fluid mechanics. Technical Report. National Aerospace Laboratories, Bangalore, India. |
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| Relation |
http://nal-ir.nal.res.in/1571/
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