Unstable manifold computations for the two-dimensional plane Poiseuille flow

DOI10.1007/s00162-004-0138-0zbMath1178.76141OpenAlexW1617328657MaRDI QIDQ1775122

Pablo S. Casas, Àngel Jorba

Publication date: 4 May 2005

Published in: Theoretical and Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00162-004-0138-0

zbMATH Keywords

direct numerical simulationnonlinear dynamical systemsincompressible Navier-Stokes equation

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (1)

Hopf bifurcations to quasi-periodic solutions for the two-dimensional plane Poiseuille flow

Cites Work

• Dynamics and symmetry. Predictions for modulated waves in rotating fluids
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Secondary flows in a plane channel: their relationship and comparison with turbulent flows
• Two-dimensional superharmonic stability of finite-amplitude waves in plane Poiseuille flow
• Finite-amplitude bifurcations in plane Poiseuille flow: two-dimensional Hopf bifurcation
• Nonlinear cellular motions in Poiseuille channel flow
• Accurate solution of the Orr–Sommerfeld stability equation
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