Generalized Eulerian-Lagrangian description of Navier-Stokes dynamics
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. ISSN 1070-6631Full text not available from this repository.
Official URL: http://dx.doi.org/10.1063/1.2748447
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|
|Subjects:||T Technology > TJ Mechanical engineering and machinery
Q Science > QC Physics
|Divisions:||Faculty of Science > Mathematics|
|Journal or Publication Title:||Physics of Fluids|
|Publisher:||American Institute of Physics|
|Number of Pages:||7|
|Page Range:||Article: 077101|
|Access rights to Published version:||Restricted or Subscription Access|
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