Finite-difference solution of the compressible stability eigenvalue problem
Mujeeb 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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8th order system adjoint AIAA Paper asymptotic black-box stability code block-tridiagonal system boundary conditions boundary layer coordinate CN CN CN CN ro 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 dT o o o Dynamic viscosity efficient eigenfunction eigenvalue calculations eigenvalue is available eigenvalue search procedure eigenvalue solution eigenvalues obtained FINITE-DIFFERENCE REPRESENTATION first-order equations Fluid Mechanics global eigenvalue method global method guess is available initial guess initial-value methods inner product itera Laminar Boundary Layer laminar flow linear linearly independent LU factorization matrix eigenvalue problem numerical numerically stable order continuity equation order equation order momentum equations ordinary differential equations rH H Richardson extrapolation ro ro SECTION sixth order solved spatial spurious modes appear spurious unstable modes stability problem system of equations t(k+l Table tions unstable eigenvalue unstable spurious modes viscosity