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Chaotic properties of planar elongational flow and planar shear flow: Lyapunov exponents, conjugate-pairing rule, and phase space contraction
List of Titles
Chaotic properties of planar elongational flow and planar shear flow: Lyapunov exponents, conjugate-pairing rule, and phase space contraction
Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/19953
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- Title
- Chaotic properties of planar elongational flow and planar shear flow: Lyapunov exponents, conjugate-pairing rule, and phase space contraction
- Author(s)
- Frascoli, Federico; Searles, Debra J.; Todd, B. D.
- Abstract
- The simulation of planar elongational flow in a nonequilibrium steady state for arbitrarily long times has recently been made possible, combining the SLLOD algorithm with periodic boundary conditions for the simulation box. We address the fundamental questions regarding the chaotic behavior of this type of flow, comparing its chaotic properties with those of the well-established SLLOD algorithm for planar shear flow. The spectra of Lyapunov exponents are analyzed for a number of state points where the energy dissipation is the same for both flows, simulating a nonequilibrium steady state for isoenergetic and isokinetic constrained dynamics. We test the conjugate-pairing rule and confirm its validity for planar elongation flow, as is expected from the Hamiltonian nature of the adiabatic equations of motion. Remarks about the chaoticity of the convective part of the flows, the link between Lyapunov exponents and viscosity, and phase space contraction for both flows complete the study.
- Publication type
- Journal article
- Research centre
- Swinburne University of Technology. Faculty of Information and Communication Technologies. Centre for Molecular Simulation
- Source
- Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, Vol. 73, no. 4 (2006), article no. 046206
- Publication year
- 2006
- FOR Code(s)
- 01 Mathematical Sciences; 02 Physical Sciences; 09 Engineering
- Keyword(s)
- Chaos; Shear flow; Flow simulation; Viscosity; Lyapunov methods
- Publisher
- American Physical Society
- ISSN
- 1539-3755
- Publisher URL
- http://dx.doi.org/10.1103/PhysRevE.73.046206
- Copyright
- Copyright © 2006 The American Physical Society. Published version of this paper reproduced here in accordance with the copyright policy of the publisher.
- Full text
- Peer reviewed
