Nonmodal energy growth and optimal perturbations in compressible plane Couette flow

DOI10.1063/1.2186671zbMath1185.76579arXiv0804.0065OpenAlexW3102162592MaRDI QIDQ5755994

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Publication date: 15 August 2007

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

Full work available at URL: https://arxiv.org/abs/0804.0065

Mathematics Subject Classification ID

Compressible fluids and gas dynamics (76N99) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (6)

Application of the compressible -dependent rheology to chute and shear flow instabilities ⋮ Nonlinear axisymmetric Taylor–Couette flow in a dilute gas: multiroll transition and the role of compressibility ⋮ Mechanisms underlying transient growth of planar perturbations in unbounded compressible shear flow ⋮ Nonlinear stability, bifurcation and vortical patterns in three-dimensional granular plane Couette flow ⋮ Decomposition of the temporal growth rate in linear instability of compressible gas flows ⋮ Resolvent-based study of compressibility effects on supersonic turbulent boundary layers

Cites Work

• Stability and transition in shear flows
• Numerical methods for hypersonic boundary layer stability
• Hydrodynamic Stability Without Eigenvalues
• Energy growth in viscous channel flows
• Remarks on disputed numerical results in compressible boundary-layer stability theory
• A linear process in wall-bounded turbulent shear flows
• Transient and asymptotic growth of two-dimensional perturbations in viscous compressible shear flow
• The linear stability of viscous compressible plane Couette flow
• A note on an algebraic instability of inviscid parallel shear flows
• Stability of linear flow
• On the linear stability of compressible plane Couette flow
• Transient growth in compressible boundary layer flow
• Transition in shear flows. Nonlinear normality versus non-normal linearity
• Energy growth of three-dimensional disturbances in plane Poiseuille flow
• Linear stability of viscous supersonic plane Couette flow

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