A beginner's guide to the use of the spectral collocation method for solving some eigenvalue problems in fluid mechanics

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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Abstract

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;

Item Type: Monograph (Technical Report)
Uncontrolled Keywords: Spectral collocation method;Solution of eigenvalue problems
Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
AERONAUTICS > Aerodynamics
Depositing User: Users 64 not found.
Date Deposited: 12 Jul 2006
Last Modified: 24 May 2010 04:12
URI: http://nal-ir.nal.res.in/id/eprint/1571

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