Optimal energy growth in pulsatile channel and pipe flows

DOI10.1017/jfm.2021.702zbMath1487.76032OpenAlexW3134106136WikidataQ108874454 ScholiaQ108874454MaRDI QIDQ5154683

Pier, Benoît, Peter J. Schmid

Publication date: 5 October 2021

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2021.702

zbMATH Keywords

energy transferChebyshev spectral methoddirect-adjoint optimizationhelical perturbationshort-term shear-flow instabilitysinuous perturbation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Parallel shear flows in hydrodynamic stability (76E05) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (3)

Subharmonic eigenvalue orbits in the spectrum of pulsating Poiseuille flow ⋮ A weakly nonlinear amplitude equation approach to the bypass transition in the two-dimensional Lamb–Oseen vortex ⋮ Linear instabilities of pulsatile plane channel flow between compliant walls

Cites Work

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• A spectral projection method for the simulation of complex three-dimensional rotating flows
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• The instability of oscillatory plane Poiseuille flow
• The effect of pulsation frequency on transition in pulsatile pipe flow
• The linear stability of flat Stokes layers
• Transient growth of perturbations in Stokes oscillatory flows
• Non-modal transient growth of disturbances in pulsatile and oscillatory pipe flows
• The linear stability of oscillatory Poiseuille flow in channels and pipes
• Transition to turbulence in pulsating pipe flow
• Linear and nonlinear dynamics of pulsatile channel flow
• Adjoint Equations in Stability Analysis

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