## Finite-difference solution of the compressible stability eigenvalue problemMujeeb R. Malik, Langley Research Center, United States. National Aeronautics and Space Administration. Scientific and Technical Information Office, Systems and Applied Sciences Corporation National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1982 - Mathematics - 46 pages |

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### Contents

Summary | 1 |

FiniteDifference Representation | 10 |

Local Eigenvalue Search | 16 |

2 other sections not shown

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### Common terms and phrases

8th order system adjoint Aeronautics and Space asymptotic black-box stability code block-tridiagonal system boundary conditions boundary layer coordinate boundary layer profiles characteristic vectors code is developed COMPLEX DISTURBANCE AMPLITUDES components compressible boundary layers compressible flow compressible stability analysis compressible stability equations computationally computer code cubic equation CYBER 175 computer differential equation Dynamic viscosity efficient eigenfunction eigenvalue calculations eigenvalue is available eigenvalue search procedure eigenvalue solution eigenvalues obtained first-order equations global eigenvalue method global method guess is available independent solutions initial guess initial-value methods initial-value problem inner product integration itera laminar flow layer flow linearly independent little extra LU factorization matrix eigenvalue problem National Aeronautics numerical integration numerically stable order continuity equation order equation order momentum equations ordinary differential equations reduce Richardson extrapolation sixth order solved Space Administration spatial spurious modes appear spurious unstable modes stability problem streamwise system of equations tions unstable eigenvalue unstable spurious modes viscosity