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Generalized Eulerian-Lagrangian description of Navier-Stokes dynamics
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Cartes, Carlos, Bustamante, Miguel D. and Brachet, Marc E. (2007) Generalized Eulerian-Lagrangian description of Navier-Stokes dynamics. Physics of Fluids, Vol.19 (No.7). Article: 077101. doi:10.1063/1.2748447 ISSN 1070-6631.
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Official URL: http://dx.doi.org/10.1063/1.2748447
Abstract
Generalized equations of motion for the Weber-Clebsch potentials that reproduce Navier-Stokes dynamics are derived. These depend on a new parameter, with the dimension of time, and reduce to the Ohkitani and Constantin equations in the singular special case where the new parameter vanishes. Let us recall that Ohkitani and Constantin found that the diffusive Lagrangian map became noninvertible under time evolution and required resetting for its calculation. They proposed that high frequency of resetting was a diagnostic for vortex reconnection. Direct numerical simulations are performed. The Navier-Stokes dynamics is well reproduced at small enough Reynolds number without resetting. Computation at higher Reynolds numbers is achieved by performing resettings. The interval between successive resettings is found to abruptly increase when the new parameter is varied from 0 to a value much smaller than the resetting interval. (c) 2007 American Institute of Physics.
Item Type: | Journal Article | ||||
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Subjects: | T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Physics of Fluids | ||||
Publisher: | American Institute of Physics | ||||
ISSN: | 1070-6631 | ||||
Official Date: | July 2007 | ||||
Dates: |
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Volume: | Vol.19 | ||||
Number: | No.7 | ||||
Number of Pages: | 7 | ||||
Page Range: | Article: 077101 | ||||
DOI: | 10.1063/1.2748447 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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