An eigenvalue search method using the Orr-Sommerfeld equation for shear flow

DOI10.1016/j.cam.2012.01.012zbMath1429.76050OpenAlexW1988400320MaRDI QIDQ413718

Morris H. III Morgan, Ira J. Walker, David S. II Torain

Publication date: 7 May 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.01.012

zbMATH Keywords

Orr-Sommerfeld equationRunge-Kutta integrationcomplex wave numbereigenvalue search methodhyperbolic-tangent shear flowperturbation kinetic energy

Mathematics Subject Classification ID

Parallel shear flows in hydrodynamic stability (76E05) Basic methods in fluid mechanics (76M99) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Uses Software

• Matlab

Cites Work

• Error analysis for the Newton-Raphson method
• Computing Probabilistic Bounds for Extreme Eigenvalues of Symmetric Matrices with the Lanczos Method
• Newton's Method in Floating Point Arithmetic and Iterative Refinement of Generalized Eigenvalue Problems
• Exclusion and Inclusion Regions for the Eigenvalues of a Normal Matrix
• Improving the Accuracy of Computed Eigenvalues and Eigenvectors
• Regions in the Complex Plane Containing the Eigenvalues of a Matrix
• Optimal Embeddings and Eigenvalues in Support Theory
• Determination of spatial amplification factors and their applicationto predicting transition
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