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SUMMARY:A highly adaptive three dimensional hybrid vortex method for invis
 cid flows - Lucas\, D (University of Bristol)
DTSTART:20120823T090000Z
DTEND:20120823T093000Z
UID:TALK39371@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Motivated by outstanding problems surrounding vortex stretchin
 g\, a new numerical method to solve the inviscid Euler equations for a thr
 ee-dimensional\, incompressible fluid is presented. Special emphasis on sp
 atial adaptivity is given to resolve as broad a range of scales as possibl
 e in a completely self-similar fashion. We present a hybrid vortex method 
 whereby we discretise the vorticity in Lagrangian filaments and perform an
  inversion to compute velocity on an adapted finite-volume grid. This allo
 ws for a two-fold adaptivity strategy. First\, although naturally spatiall
 y adaptive by definition\, the vorticity filaments undergo `renoding'. We 
 redistribute nodes along the filament to concentrate their density in regi
 ons of high curvature. Secondly the Eulerian mesh is adapted to follow hig
 h strain by increasing resolution based on local filament dimensions. Thes
 e features allow vortex stretching and folding to be resolved in a complet
 ely automatic and self-similar way. The method is validated via well known
  vortex rings and newly discovered helical vortex equilibria are also used
  to test the method.\n
LOCATION:Seminar Room 1\, Newton Institute
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