Chaotic properties of planar elongational flow and planar shear flow: lyapunov exponents, conjugate-pairing rule, and phase space contraction

Frascoli, Federico, Searles, Debra J. and Todd, B. D. (2006) Chaotic properties of planar elongational flow and planar shear flow: lyapunov exponents, conjugate-pairing rule, and phase space contraction. Physical Review E, 73 4 Article No. 046206: . doi:10.1103/PhysRevE.73.046206

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Author Frascoli, Federico
Searles, Debra J.
Todd, B. D.
Title Chaotic properties of planar elongational flow and planar shear flow: lyapunov exponents, conjugate-pairing rule, and phase space contraction
Journal name Physical Review E   Check publisher's open access policy
ISSN 1539-3755
1550-2376
Publication date 2006-04
Sub-type Article (original research)
DOI 10.1103/PhysRevE.73.046206
Open Access Status File (Publisher version)
Volume 73
Issue 4 Article No. 046206
Total pages 12
Place of publication College Park, MD United States
Publisher American Physical Society
Collection year 2006
Language eng
Formatted 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.
Keyword Nonequilibrium Molecular-Dynamics
Periodic Boundary-Conditions
Transport-Coefficients
Energy-Conservation
Fluid-Flows
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: Australian Institute for Bioengineering and Nanotechnology Publications
 
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