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dc.contributor.authorDentz, Marcoes_ES
dc.contributor.authorKang, Peter K.es_ES
dc.contributor.authorComolli, Alessandroes_ES
dc.contributor.authorLe Borgne, T.es_ES
dc.contributor.authorLester, Daniel R.es_ES
dc.date.accessioned2016-11-23T07:28:52Z-
dc.date.available2016-11-23T07:28:52Z-
dc.date.issued2016-
dc.identifier.citationPhysical Review Fluidses_ES
dc.identifier.urihttp://hdl.handle.net/10261/140583-
dc.description.abstractWe develop a continuous time random walk (CTRW) approach for the evolution of Lagrangian velocities in steady heterogeneous flows based on a stochastic relaxation process for the streamwise particle velocities. This approach describes persistence of velocities over a characteristic spatial scale, unlike classical random walk methods, which model persistence over a characteristic time scale. We first establish the relation between Eulerian and Lagrangian velocities for both equidistant and isochrone sampling along streamlines, under transient and stationary conditions. Based on this, we develop a space continuous CTRW approach for the spatial and temporal dynamics of Lagrangian velocities. While classical CTRW formulations have non-stationary Lagrangian velocity statistics, the proposed approach quantifies the evolution of the Lagrangian velocity statistics under both stationary and non-stationary conditions. We provide explicit expressions for the Lagrangian velocity statistics, and determine the behaviors of the mean particle velocity, velocity covariance and particle dispersion. We find strong Lagrangian correlation and anomalous dispersion for velocity distributions which are tailed toward low velocities as well as marked differences depending on the initial conditions. The developed CTRW approach predicts the Lagrangian particle dynamics from an arbitrary initial condition based on the Eulerian velocity distribution and a characteristic correlation scale.es_ES
dc.description.sponsorshipMD and AC acknowledge the support of the European Research Council (ERC) through the project MHetScale (617511)es_ES
dc.language.isoenges_ES
dc.publisherAmerican Physical Societyes_ES
dc.relationinfo:eu-repo/grantAgreement/EC/FP7/617511es_ES
dc.relation.isversionofPostprintes_ES
dc.rightsopenAccesses_ES
dc.subjectCTRWes_ES
dc.subjectLagrangian velocitieses_ES
dc.titleContinuous Time Random Walks for the Evolution of Lagrangian Velocitieses_ES
dc.typeartículoes_ES
dc.description.peerreviewedPeer reviewedes_ES
dc.contributor.funderEuropean Research Counciles_ES
dc.relation.csices_ES
oprm.item.hasRevisionno ko 0 false*
dc.identifier.funderhttp://dx.doi.org/10.13039/501100000781es_ES
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