Application of spectral collocation techniques to the stability of swirling flows

DOI10.1016/0021-9991(89)90071-5zbMath0662.76057OpenAlexW2010217386WikidataQ61013236 ScholiaQ61013236MaRDI QIDQ1114513

Robert L. Ash, Mehdi R. Khorrami, Mujeeb R. Malik

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90071-5

zbMATH Keywords

swirling flowsspatial stabilityChebyshev spectral collocation methodlinearized stability equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Interfacial stability and instability in hydrodynamic stability (76E17) Hydrodynamic stability (76E99)

Related Items

A pseudospectral based method of lines for solving integro-differential boundary-layer equations. Application to the mixed convection over a heated horizontal plate, Well-conditioned ultraspherical and spectral integration methods for resolvent analysis of channel flows of Newtonian and viscoelastic fluids, On temporal stability analysis for hydromagnetic flow in a channel filled with a saturated porous medium, The linear and nonlinear stability of thread-annular flow, Stability analysis of a class of unsteady nonparallel incompressible flows via separation of variables, Viscous and inviscid spatial stability analysis of compressible swirling mixing layers, Biglobal linear stability analysis for the flow in eccentric annular channels and a related geometry, Stability analysis of cusped bubbles in viscoelastic flows, Linear stability analysis of gyrotactic plumes, Global mode analysis of axisymmetric bluff-body wakes: Stabilization by base bleed, A piecewise linear contour to avoid critical points in inviscid flow stability analyses, Transient energy growth of a swirling jet with vortex breakdown, The steady cone-jet mode of electrospraying close to the minimum volume stability limit, Global oscillations in low-density round jets with parabolic velocity profiles, Linear stability of incompressible fluid flow in a cavity using finite element method, Analysis of a resonance liquid bridge oscillation on board of the international space station, An assessment of turbulence models for linear hydrodynamic stability analysis of strongly swirling jets, Transient evolution of the global mode in turbulent swirling jets: experiments and modal stability analysis, Linear stability of incompressible flow using a mixed finite element method, The stability of a trailing-line vortex in compressible flow, Instabilities of the Type I Long’s vortex at large flow force, The stability of compressible swirling pipe flows with density stratification, Viscous and inviscid instabilities of a trailing vortex, A note on the effects of viscosity on the stability of a trailing-line vortex, Iterative eigenmode tracking for computing the saddle points of general dispersion relationships, Local linear stability of plumes generated along vertical heated cylinders in stratified environments, Linear stability analysis of wake vortices by a spectral method using mapped Legendre functions, Stable production of fluid jets with vanishing diameters via tip streaming, Optimal perturbations in viscous round jets subject to Kelvin–Helmholtz instability, Receptivity of pipe Poiseuille flow, Inviscid and viscous global stability of vortex rings, Diffusion-flame flickering as a hydrodynamic global mode, Local analysis of absolute instability in plasma jets, Linear impulse response in hot round jets, Optimal energy density growth in Hagen–Poiseuille flow, Inviscid instability of the Batchelor vortex: Absolute-convective transition and spatial branches, On stability of flow in an annular channel, Absolute and convective instability character of slender viscous vortices, Linear instability of viscoelastic pipe flow, On the mechanism of optimal disturbances: The role of a pair of nearly parallel modes, Nonparallel local spatial stability analysis of pipe entrance swirling flows, A numerical study of dynamics of a temporally evolving swirling jet, Spatial theory of optimal disturbances in a circular pipe flow, The onset of absolute instability of rotating Hagen–Poiseuille flow: A spatial stability analysis, Viscous stability analysis of jets with discontinuous base profiles, A study of eigenvalue sensitivity for hydrodynamic stability operators, A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows, Vortex-induced instabilities and accelerated collapse due to inertial effects of density stratification, Exponential-algebraic transition in the near-field of low supersonic jets, Transient growth in vortices with axial flow, On the viscous modes of instability of a trailing line vortex, Stability of miscible core–annular flows with viscosity stratification, Optimal growth of the Batchelor vortex viscous modes, The impedance boundary condition for acoustics in swirling ducted flow, On the Chebyshev collocation spectral approach to stability of fluid flow in a porous medium, On the instability of pipe Poiseuille flow, Sound transmission in strongly curved slowly varying cylindrical ducts with flow, Local linear stability of laminar axisymmetric plumes, A numerical method to study the dynamics of capillary fluid systems, Nozzle dynamics and wavepackets in turbulent jets, Receptivity of the turbulent precessing vortex core: synchronization experiments and global adjoint linear stability analysis, The evolution of local instability regions in turbulent non-premixed flames, Global stability of buoyant jets and plumes, Nonparallel and nonlinear stability of supersonic jet flow, Numerical methods for hypersonic boundary layer stability, Propagation speed of inertial waves in cylindrical swirling flows, On the characteristics and mechanism of perturbation modes with asymptotic growth in trailing vortices, Accurate Navier-Stokes investigation of transitional and turbulent flows in a circular pipe, Linear modelling of self-similar jet turbulence, A linear system for pipe flow stability analysis allowing for boundary condition modifications, Numerical aspects of searching convective/absolute instability transition, Stability and tip streaming of a surfactant-loaded drop in an extensional flow. Influence of surface viscosity, A mechanism for the amplification of interface distortions on liquid jets, On the hydrodynamic focusing for producing microemulsions via tip streaming

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Chebyshev method for the solution of boundary value problems
• Differential eigenvalue problems in which the parameter appears nonlinearly
• A numerical simulation of the appearance of chaos in finite-length Taylor-Couette flow
• A spectral collocation method for the Navier-Stokes equations
• Linear stability of Poiseuille flow in a circular pipe
• The stability of a trailing line vortex. Part 2. Viscous theory
• Axial flow in trailing line vortices
• On the instability of viscous flow in a rapidly rotating pipe
• Stability of Pipe Poiseuille Flow
• The stability of Poiseuille flow in a pipe of circular cross-section
• Linear spatial stability of pipe Poiseuille flow
• Accurate solution of the Orr–Sommerfeld stability equation
• On the hydrodynamic and hydromagnetic stability of swirling flows