TY - JOUR
T1 - Capturing reconnection phenomena using generalized Eulerian-Lagrangian description in Navier-Stokes and resistive MHD
AU - Cartes, Carlos
AU - Bustamante, Miguel D.
AU - Pouquet, Annick
AU - Brachet, Marc E.
PY - 2009
Y1 - 2009
N2 - New generalized equations of motion for the Weber-Clebsch potentials that describe both the Navier-Stokes and magnetohydrodynamics (MHD) dynamics are derived. These depend on a new parameter, which has dimensions of time for Navier-Stokes and inverse velocity for MHD. Direct numerical simulations (DNSs) are performed. For Navier-Stokes, the generalized formalism captures the intense reconnection of vortices of the Boratav, Pelz and Zabusky (BPZ) flow, in agreement with the previous study by Ohkitani and Constantin. For MHD, the new formalism is used to detect magnetic reconnection in several flows: the three-dimensional (3D) Arnold, Beltrami and Childress (ABC) flow and the (2D and 3D) Orszag-Tang (OT) vortex. It is concluded that periods of intense activity in the magnetic enstrophy are correlated with periods of increasingly frequent resettings. Finally, the positive correlation between the sharpness of the increase in resetting frequency and the spatial localization of the reconnection region is discussed.
AB - New generalized equations of motion for the Weber-Clebsch potentials that describe both the Navier-Stokes and magnetohydrodynamics (MHD) dynamics are derived. These depend on a new parameter, which has dimensions of time for Navier-Stokes and inverse velocity for MHD. Direct numerical simulations (DNSs) are performed. For Navier-Stokes, the generalized formalism captures the intense reconnection of vortices of the Boratav, Pelz and Zabusky (BPZ) flow, in agreement with the previous study by Ohkitani and Constantin. For MHD, the new formalism is used to detect magnetic reconnection in several flows: the three-dimensional (3D) Arnold, Beltrami and Childress (ABC) flow and the (2D and 3D) Orszag-Tang (OT) vortex. It is concluded that periods of intense activity in the magnetic enstrophy are correlated with periods of increasingly frequent resettings. Finally, the positive correlation between the sharpness of the increase in resetting frequency and the spatial localization of the reconnection region is discussed.
KW - Small-scale structure
KW - Numerical simulations
KW - Dynamics
UR - http://www.scopus.com/inward/record.url?scp=66149124907&partnerID=8YFLogxK
U2 - 10.1088/0169-5983/41/1/011404
DO - 10.1088/0169-5983/41/1/011404
M3 - Article
AN - SCOPUS:66149124907
SN - 0169-5983
VL - 41
JO - Fluid Dynamics Research
JF - Fluid Dynamics Research
IS - 1
M1 - 011404
ER -