Differential eigenvalue problems in which the parameter appears nonlinearly
From MaRDI portal
Publication:796273
DOI10.1016/0021-9991(84)90032-9zbMath0543.65063OpenAlexW1991261345MaRDI QIDQ796273
Thomas J. Bridges, Philip J. Morris
Publication date: 1984
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9991(84)90032-9
nonlinear eigenvalue problemPoiseuille flowcubic convergencefinite Chebyshev seriesOrr-Sommerfeld problem
Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)
Related Items
The local evaluation of the derivative of a determinant ⋮ Spatial stability of incompressible attachment-line flow ⋮ Stability of the boundary layer flow on a long thin rotating cylinder ⋮ Absolute and convective instabilities of an inviscid compressible mixing layer: Theory and applications ⋮ Chebyshev matrix operator method for the solution of integrated forms of linear ordinary differential equations ⋮ Toward robust prediction of crossflow-wave instability in hypersonic boundary layers ⋮ Transformations reducing the order of the parameter in differential eigenvalue problems ⋮ The absolute instability of boundary-layer flow over viscoelastic walls ⋮ Global oscillations in low-density round jets with parabolic velocity profiles ⋮ Application of spectral collocation techniques to the stability of swirling flows ⋮ Efficient transformation of certain singular polynomial matrix eigenvalue problems ⋮ A quadrature-free Legendre polynomial approach for the fast modelling guided circumferential wave in anisotropic fractional order viscoelastic hollow cylinders ⋮ The effect of anisotropic wall compliance on boundary-layer stability and transition ⋮ Transition in a separation bubble under tonal and broadband acoustic excitation ⋮ Convectively Unstable Wave Packets in the Blasius Boundary Layer ⋮ Convectively Unstable Wave Packets in the Blasius Boundary Layer ⋮ Breakup of planar liquid sheets injected at high speed in a quiescent gas environment ⋮ The stability of compressible swirling pipe flows with density stratification ⋮ A note on the effects of viscosity on the stability of a trailing-line vortex ⋮ The axisymmetric screech tones of round twin jets examined via linear stability theory ⋮ Application of piecewise-linear polynomial functions in analysis of eigenvalue problems ⋮ Steady and transient response of a laminar separation bubble to controlled disturbances ⋮ Solving differential eigenproblems via the spectral Tau method ⋮ Global numerical prediction of bursting frequency in turbulent boundary layers ⋮ Spatial Stability for Mixed Convection Boundary Layer over a Heated Horizontal Plate ⋮ A general theory for two- and three-dimensional wall-mode instabilities in boundary layers over isotropic and anisotropic compliant walls ⋮ Characteristics of acoustic and hydrodynamic waves in under-expanded supersonic impinging jets ⋮ Nonparallel linear stability analysis of Long’s vortex ⋮ Curvature-induced deformations of the vortex rings generated at the exit of a rectangular duct ⋮ Axisymmetric instabilities of Bödewadt flow ⋮ Spectral analysis of localized disturbances in boundary layer at subcritical Reynolds numbers ⋮ Nonparallel local spatial stability analysis of pipe entrance swirling flows ⋮ Nonparallel linear stability analysis of unconfined vortices ⋮ The onset of absolute instability of rotating Hagen–Poiseuille flow: A spatial stability analysis ⋮ Local instabilities of flow in a flexible channel: Asymmetric flutter driven by a weak critical layer ⋮ Control of stationary convective instabilities in the rotating disk boundary layer via time-periodic modulation ⋮ Underlying principle of efficient propulsion in flexible plunging foils ⋮ Direct numerical simulation of spatial transition to turbulence using fourth-order vertical velocity second-order vertical vorticity formulation ⋮ Exponential-algebraic transition in the near-field of low supersonic jets ⋮ Uni-modal destabilization of a viscoelastic floating ice layer by wind stress ⋮ Instability waves in a low-Reynolds-number planar jet investigated with hybrid simulation combining particle tracking velocimetry and direct numerical simulation ⋮ On the development of three-dimensional vortex breakdown in cylindrical regions ⋮ Effects of Prandtl number and a new instability mode in a plane thermal plume ⋮ On the stability of Lamb modes ⋮ Instability of rectangular jets ⋮ Sloshing and slamming oscillations in a collapsible channel flow ⋮ Large-scale complex eigenvalue problems ⋮ The interaction of Blasius boundary-layer flow with a compliant panel: global, local and transient analyses ⋮ Analysis of the instabilities induced by an isolated roughness element in a laminar high-speed boundary layer ⋮ Conditioning of cross-flow instability modes using dielectric barrier discharge plasma actuators ⋮ Numerical methods for hypersonic boundary layer stability ⋮ Absolute and convective stability of flow between closely spaced co-rotating disks with imposed throughflow ⋮ Identifying linear absolute instabilities from differential eigenvalue problems using sensitivity analysis ⋮ Guided and standing Bloch waves in periodic elastic strips ⋮ Linear stability eigenmodal analysis for steady and temporally periodic boundary-layer flow configurations using a velocity-vorticity formulation ⋮ Numerical aspects of searching convective/absolute instability transition ⋮ Hydrodynamic wake resonance as an underlying principle of efficient unsteady propulsion ⋮ Inertio–elastic instability of a vortex column ⋮ Complex-grid spectral algorithms for inviscid linear instability of boundary-layer flows.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The calculation of eigenvalues for the stationary perturbation of Poiseuille flow
- A matrix method for ordinary differential eigenvalue problems
- Algorithms for lambda-matrices
- Algorithm 598
- A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability
- Numerical Solution of a Quadratic Matrix Equation
- Accurate solution of the Orr–Sommerfeld stability equation
- An Algorithm for Generalized Matrix Eigenvalue Problems
This page was built for publication: Differential eigenvalue problems in which the parameter appears nonlinearly