Numerical analysis of the spectrum of the Orr-Sommerfeld problem

DOI10.1134/S096554250710003XOpenAlexW1991483963MaRDI QIDQ6123108

S. L. Skorokhodov

Publication date: 4 March 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/zvmmf229

zbMATH Keywords

Orr-Sommerfeld equationPoiseuille flowCouette flowCouette-Poiseuille flowconvergence rate analysisnumerical analysis of spectrum of Orr-Sommerfeld equation

Mathematics Subject Classification ID

Parallel shear flows in hydrodynamic stability (76E05)

Related Items (6)

Algorithm for separating matrix spectrum by an angle ⋮ Influence of temperature dependence of viscosity on the stability of fluid flow in an annular channel ⋮ On the influence of the beta effect on the spectral characteristics of unstable perturbations of ocean currents ⋮ Features of laminar-turbulent transition for the coolant flow in a plane heat-exchanger channel ⋮ Spectral analysis of small perturbations of geostrophic currents with a parabolic vertical profile of velocity as applied to the ocean ⋮ Spectral analysis of model Couette flows in application to the ocean

Cites Work

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• Resurrecting the asymptotics of linear recurrences
• The use of the operator splitting method in eigenvalue problems for an equation of the Orr-Sommerfeld type
• Completeness theorem for non-selfadjoint eigenvalue problems in hydrodynamic stability
• On the behaviour of small disturbances in plane Couette flow
• Pseudospectra of Linear Operators
• Pseudospectra of the Orr–Sommerfeld Operator
• Numerical Simulation of Incompressible Flows Within Simple Boundaries. I. Galerkin (Spectral) Representations
• Accurate solution of the Orr–Sommerfeld stability equation
• The Stability of Plane Poiseuille Flow

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