On the numerical solution of the Orr-Sommerfeld problem: Asymptotic initial conditions for shooting methods

DOI10.1016/0021-9991(80)90150-3zbMath0468.76039OpenAlexW2061011795MaRDI QIDQ1156590

W. H. Reid, B. S. Ng

Publication date: 1980

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(80)90150-3

zbMATH Keywords

Orr-Sommerfeld equationshooting methodsasymptotic initial conditionsasymptotic suctionBlasius boundary-layer profilethird order eigenvalue problem with nonconstant tail

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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Euler Versus Lagrange: The Role of Coordinates in Practical Evans-Function Computations ⋮ Evans function computation for the stability of travelling waves ⋮ Root Following in Evans Function Computation ⋮ Coupled convective and morphological instability in a simple model of the solidification of a binary alloy, including a shear flow ⋮ Instabilities of the liquid and mushy regions during solidification of alloys ⋮ Hydrodynamic stability of the Ekman boundary layer including interaction with a compliant surface: A numerical framework. ⋮ Relevance of two- and three-dimensional disturbance field explained with linear stability analysis of Orr-Sommerfeld equation by compound matrix method ⋮ Hydrodynamic and morphological stability of the unidirectional solidification of a freezing binary alloy: a simple model ⋮ On the stability of the similarity solutions for swirling flow above an infinite rotating disk ⋮ Efficient computation of analytic bases in Evans function analysis of large systems ⋮ An efficient shooting algorithm for Evans function calculations in large systems ⋮ Numerical methods for solving some hydrodynamic stability problems

Cites Work

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• A SIMPLE NUMERICAL METHOD FOR SOLVING ORR–SOMMERFELD PROBLEMS
• Some perturbation solutions in laminar boundary-layer theory

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