Abstract
A compressible stability analysis computer code is developed. The code uses a matrix finite-difference method for local eigenvalue solution when a good guess for the eigenvalue is available and is significantly more computationally efficient than the commonly used initial-value approach. The local eigenvalue search procedure also results in eigenfunctions and, at little extra work, group velocities. A globally convergent eigenvalue procedure is also developed that may be used when no guess for the eigenvalue is available. The global problem is formulated in such a way that no unstable spurious modes appear so that the method is suitable for use in a black-box stability code. Sample stability calculations are presented for the boundary layer profiles of an LFC swept wing.
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Malik, M.R., Orszag, S.A. Linear stability analysis of three-dimensional compressible boundary layers. J Sci Comput 2, 77–97 (1987). https://doi.org/10.1007/BF01061513
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DOI: https://doi.org/10.1007/BF01061513