Simulation of topological chaos in laminar flows

DOI10.1063/1.1621092zbMath1080.76057OpenAlexW2073714616WikidataQ51705283 ScholiaQ51705283MaRDI QIDQ5705384

Alexander Vikhansky

Publication date: 8 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1621092

zbMATH Keywords

elliptic periodic pointsimmersed boundary methodaugmented phase space

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Diffusion and convection (76R99)

Related Items (5)

Topology, braids and mixing in fluids ⋮ Generating topological chaos in lid-driven cavity flow ⋮ Two-dimensional Stokes flow driven by elliptical paddles ⋮ Efficient topological chaos embedded in the blinking vortex system ⋮ Dynamics of two-dimensional time-periodic Euler fluid flows

Cites Work

• Determining Lyapunov exponents from a time series
• Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
• A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
• Numerical simulation of a cylinder in uniform flow: Application of a virtual boundary method
• Flow patterns around heart valves: A numerical method
• The development of chaotic advection
• On the geometry and dynamics of diffeomorphisms of surfaces
• Topological fluid mechanics of stirring
• An adaptive front tracking technique for three-dimensional transient flows
• Stirring by chaotic advection
• Stokes flow in a mixer with changing geometry

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