Show simple item record

dc.contributor.authorFrascoli, Federico
dc.contributor.authorBernhardt, Debra
dc.contributor.authorTodd, B.
dc.date.accessioned2017-05-03T12:18:39Z
dc.date.available2017-05-03T12:18:39Z
dc.date.issued2006
dc.date.modified2009-09-24T05:52:29Z
dc.identifier.issn15393755
dc.identifier.doi10.1103/PhysRevE.73.046206
dc.identifier.urihttp://hdl.handle.net/10072/14329
dc.description.abstractThe 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.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.publisher.placeRidge, NY
dc.publisher.urihttp://pre.aps.org/
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom0462061
dc.relation.ispartofpageto04620612
dc.relation.ispartofjournalPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics)
dc.relation.ispartofvolume73
dc.rights.retentionY
dc.subject.fieldofresearchMathematical Sciences
dc.subject.fieldofresearchPhysical Sciences
dc.subject.fieldofresearchEngineering
dc.subject.fieldofresearchcode01
dc.subject.fieldofresearchcode02
dc.subject.fieldofresearchcode09
dc.titleChaotic properties of planar elongational flow and planar shear flow: Lyapunov exponents, conjugate-pairing rule, and phase space contraction
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.date.issued2006
gro.hasfulltextNo Full Text
gro.griffith.authorBernhardt, Debra J.


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

  • Journal articles
    Contains articles published by Griffith authors in scholarly journals.

Show simple item record