Secondary instability of wall-bounded shear flows
From MaRDI portal
Publication:3219966
DOI10.1017/S0022112083000518zbMath0556.76039OpenAlexW2137700088MaRDI QIDQ3219966
Steven A. Orszag, Anthony T. Patera
Publication date: 1983
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112083000518
Related Items
Finite-amplitude self-oscillations in a rotating Hagen-Poiseuille flow, On spectral multigrid methods for the time-dependent Navier-Stokes equations, DNS of the collision of co-axial vortex rings, Development of finite-amplitude two-dimensional and three-dimensional disturbances in jet flows, A Chebyshev spectral collocation method for the computation of buoyancy- induced flows, Mean dynamics of transitional channel flow, Four-dimensional turbulence in a plane channel, Spatially growing waves, intermittency, and convective chaos in an open- flow system, A formulation of Navier-Stokes problem in cylindrical coordinates applied to the 3D entry jet in a duct, Finite amplitude steady states of high Reynolds number 2-D channel flow, Adaptive mesh strategies for the spectral element method, An application of one-sided Jacobi polynomials for spectral modeling of vector fields in polar coordinates, Structure and stability of steady porous medium convection at large Rayleigh number, Interacting oscillatory boundary layers and wall modes in modulated rotating convection, A hybrid MPI-OpenMP parallel implementation for pseudospectral simulations with application to Taylor-Couette flow, Turbulent transport and the random occurrence of coherent events, Theory and predictions for finite-amplitude waves in two-dimensional plane Poiseuille flow, On the three-dimensional instability of strained vortices, Numerical method for incompressible vortical flows with two unbounded directions, Chebyshev spectral approximation of Navier-Stokes equations in a two dimensional domain, Formulation of a Galerkin spectral element--Fourier method for three-dimensional incompressible flows in cylindrical geometries, Double vortices and single-eyed vortices in a rotating cylinder under thermal gradients, Pseudo-spectral and asymptotic sensitivity investigation of counter- rotating vortices, Three-dimensional instabilities of laminar flow in a rough channel and the concept of hydraulically smooth wall, Inviscid secondary instability of the far wake, Spectral element simulations of laminar and turbulent flows in complex geometries, Homoclinic Bifurcations for Partial Differential Equations in Unbounded Domains, Traveling Waves in Two-Dimensional Plane Poiseuille Flow, Quenching of vortex breakdown oscillations via harmonic modulation, Nonlinear instabilities of a non-self-similar boundary layer on an airfoil: experiments, DNS, and theory, A direct numerical simulation of transition phenomena in a mixed convection channel flow., Secondary instability of a temporally growing mixing layer, An efficient spectral code for incompressible flows in cylindrical geometries, Direct numerical simulations of localized disturbances in pipe Poiseuille flow, The Inviscid Initial Value Problem for a Piecewise Linear Mean Flow, \textit{Semtex}: a spectral element-Fourier solver for the incompressible Navier-Stokes equations in cylindrical or Cartesian coordinates, Two-dimensional superharmonic stability of finite-amplitude waves in plane Poiseuille flow, Two-dimensional perturbations in a suddenly blocked channel flow., Stability bounds on turbulent Poiseuille flow, Modulated rotating convection: radially travelling concentric rolls, Nonlinear structures of transition in wall-bounded flows, The upper-branch stability of compressible boundary-layer flows, A 3D pseudospectral method for cylindrical coordinates. Application to the simulations of rotating cavity flows, Efficient numerical method for the direct numerical simulation of the flow past a single light moving spherical body in transitional regimes., Interactions of three components and subcritical self-sustained amplification of disturbances in plane Poiseuille flow, Nonlinear equilibrium solutions in stratified plane Poiseuille flow, Numerical simulation of boundary-layer transition and transition control, The secondary flow and its stability for natural convection in a tall vertical enclosure, Numerical simulation of thermal convection in a two-dimensional finite box, Three-dimensional transient Navier-Stokes solvers in cylindrical coordinate system based on a spectral collocation method using explicit treatment of the pressure, The magnetoelliptic instability of rotating systems, A spectral vanishing viscosity for the LES of turbulent flows within rotating cavities, Torque reduction in Taylor–Couette flows subject to an axial pressure gradient, The arctan/tan and Kepler-Burgers mappings for periodic solutions with a shock, front, or internal boundary layer, Influence of small imperfections on the stability of plane Poiseuille flow: A theoretical model and direct numerical simulation, Two-dimensional instability of flow in a rough channel, Stability of the Rankine vortex in a multipolar strain field, Energy amplification in channel flows with stochastic excitation, A direct numerical simulation of K- and H-type flow transition in a heated vertical channel, Poloidal-toroidal decomposition in a finite cylinder. II: Discretization, regularization and validation, Steady-state bifurcation of a non-parallel flow involving energy dissipation over a Hartmann boundary layer, A dynamic-solver-consistent minimum action method: with an application to 2D Navier-Stokes equations, A minimum action method for small random perturbations of two-dimensional parallel shear flows, Forcing a low Reynolds number channel flow to generate synthetic turbulent-like structures, Onset of Küppers–Lortz-like dynamics in finite rotating thermal convection, Coherent structures in wave boundary layers. Part 1. Oscillatory motion, An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. II: Three-dimensional cases, Hydrodynamic forces acting on a rigid fixed sphere in early transitional regimes, DNS of wavepacket evolution in a Blasius boundary layer, Brinkman equation for a corrugated pipe using a spectral-Galerkin method, Onset of three-dimensionality, equilibria, and early transition in flow over a backward-facing step, Computations of transitions and Taylor vortices in temporally modulated Taylor-Couette flow, Simulation of vorticity dominated flows using a hybrid approach. I: Formulation, Nonlinear evolution of secondary instabilities in boundary-layer transition, Exact coherent structures and shadowing in turbulent Taylor–Couette flow, Three-dimensional gas dynamics in a sphere, Numerical simulation of turbulent spots in channel and boundary layer flows, Comparison of conservative and rotational forms in large eddy simulation of turbulent channel flow, An adaptive mesh refinement solver for large-scale simulation of biological flows, Streamwise vortices in large-eddy simulations of mixing layers, Accurate Navier-Stokes investigation of transitional and turbulent flows in a circular pipe, The hydrodynamic stability of channel flow with compliant boundaries, Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions, Control of linear instabilities by dynamically consistent order reduction on optimally time-dependent modes, Dynamical eigenfunction decomposition of turbulent pipe flow, An efficient method for the solution of the incompressible Navier-Stokes equations in cylindrical geometries, The effects of resonance interactions between wave perturbations in a boundary layer, Spatial direct numerical simulation of boundary-layer transition mechanisms: Validation of \(\mathbf{PSE}\) theory, Non-modal stability in sliding Couette flow, Tollmien-Schlichting-wave resonant mechanism for subharmonic-type transition, A spectral collocation method for the Navier-Stokes equations, Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions, On the dynamics in a transitional boundary layer., On the stability of distorted laminar flow. I: Basic ideas and theory, A Fourier-Chebyshev pseudospectral method for solving steady 3-D Navier- Stokes and heat equations in cylindrical cavities, Spectral approximation of the periodic nonperiodic Navier-Stokes equations, Weakly nonlinear theory versus theory of secondary instability for plane Poiseuille flow, Analysis of pipe flow transition. I: Direct numerical simulation, A highly accurate technique for the treatment of flow equations at the polar axis in cylindrical coordinates using series expansions., Transition in a 2-D lid-driven cavity flow, Linear stability analysis of purely elastic travelling-wave solutions in pressure-driven channel flows, Non-isothermal spreading of liquid drops on horizontal plates, Nonlinear dynamics near the stability margin in rotating pipe flow, The effect of spanwise wall oscillation on turbulent pipe flow structures resulting in drag reduction, Global endwall effects on centrifugally stable flows, Drag and flow reversal in mixed convection past a heated sphere, Three-dimensional convection in a horizontal fluid layer subjected to a constant shear, Elliptical instability in a stably stratified rotating fluid, Effects of suction and wall shaping on the fundamental parametric resonance in boundary layers, Three-dimensional dynamics and transition to turbulence in the wake of bluff objects, Local stability conditions in fluid dynamics, Instability of bounded flows with elliptical streamlines, Unsteady flow in a nonuniform channel: A model for wave generation, On the stability of Poiseuille flow of a Bingham fluid, Three-dimensionalization of barotropic vortices on the f-plane, Transition to chaos in converging–diverging channel flows: Ruelle–Takens–Newhouse scenario, Instabilities in two-dimensional spatially periodic flows. Part II: Square eddy lattice, Instabilities of three-dimensional viscous falling films, On a degeneracy of temporal secondary instability modes in Blasius boundary-layer flow, Three-dimensional instability of strained vortices in a stably stratified fluid, Transient growth in circular pipe flow. I. Linear disturbances, Three-dimensional instability of Kirchhoff’s elliptic vortex, Stability theory of an elliptical vortex, Interactions between oblique second mode and oblique waves in a high-speed boundary layer, Hydrodynamic Stability and Turbulence: Beyond Transients to a Self‐Sustaining Process, Simulations of natural transition in viscoelastic channel flow, Interactions between second mode and low-frequency waves in a hypersonic boundary layer, Shear-free turbulence near a flat free surface, Unsteadiness and convective instabilities in two-dimensional flow over a backward-facing step, A systems theory approach to the feedback stabilization of infinitesimal and finite-amplitude disturbances in plane Poiseuille flow, Nonlinear dynamics in Langmuir circulations and in thermosolutal convection, A three-dimensional pseudospectral method for rotating flows in a cylinder, Onset of convection in a moderate aspect-ratio rotating cylinder: Eckhaus–Benjamin–Feir instability, Centrifugal effects in rotating convection: nonlinear dynamics, A mechanism of formation of multiple zonal jets in the oceans, Influence of small imperfections on the stability of plane Poiseuille flow and the limitation of Squire’s theorem, Numerical study of bypass transition, On the instability of pipe Poiseuille flow, Dynamics of viscoelastic pipe flow at low Reynolds numbers in the maximum drag reduction limit, Numerical characterization of localized solutions in plane Poiseuille flow, Effects of Schmidt number on the short-wavelength instabilities in stratified vortices, Wave patterns in plane Poiseuille flow created by concentrated disturbances, Origin of the peak-valley wave structure leading to wall turbulence, Upper bounds on functions of the dissipation rate in turbulent shear flow, Theoretical study of turbulent channel flow: bulk properties, pressure fluctuations, and propagation of electromagnetic waves, Wave growth and spreading of a turbulent spot in plane Poiseuille flow, Numerical investigation of the subcritical effects at the onset of three-dimensionality in the circular cylinder wake, An asymptotically reduced model of turbulent Langmuir circulation
Cites Work
- The transition to aperiodic behavior in turbulent systems
- Bounds on the transport of mass and momentum by turbulent flow between parallel plates
- On the nature of turbulence
- Transition to time-dependent convection
- Stability of linear flow
- Nonlinear stability of parallel flows with subcritical Reynolds numbers. Part 2. Stability of pipe Poiseuille flow to finite axisymmetric disturbances
- The three-dimensional nature of boundary-layer instability
- The stability of Poiseuille flow in a pipe
- Accurate solution of the Orr–Sommerfeld stability equation
- Finite-amplitude stability of pipe flow
- On the stability of plane Couette flow to infinitesimal disturbances