Sanjay Mittal1, Anubhav Dwivedi1
CMES-Computer Modeling in Engineering & Sciences, Vol.113, No.2, pp. 219-237, 2017, DOI:10.3970/cmes.2017.113.229
Abstract Linear Stability Analysis (LSA) of parallel shear flows, v ia local and global approaches, is presented. The local analysis is carried out by solving the Orr-Sommerfeld (OS) equation using a spectral-collocation method based on Chebyshev polynomials. A stabilized finite element formulation is employed to carry out the global analysis using the linearized disturbance equations in primitive variables. The local and global analysis are compared. As per the Squires theorem, the two-dimensional disturbance has the largest growth rate. Therefore, only two-dimensional disturbances are considered. By its very nature, the local analysis assumes the disturbance field to be spatially periodic in the… More >
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