Complex transition to chaotic flow in a periodic array of cylinders

DOI10.1007/BF00271618zbMath0738.76039OpenAlexW2003373717MaRDI QIDQ1182720

Michel Fortin, André Fortin, Jean-Jacques Gervais

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf00271618

zbMATH Keywords

turbulencedynamical system theorytransition to chaosimplicit Gear schemeincommensurate frequencies

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems approach to turbulence (76F20)

Cites Work

• A numerical simulation of the transition to turbulence in a two- dimensional flow
• Quantitative universality for a class of nonlinear transformations
• On the nature of turbulence
• On the imposition of a flowrate by an augmented Lagrangian method

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