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SUMMARY:Computational methods for finding exact solutions of shear flows -
  Viswanath\, D (Michigan)
DTSTART:20080911T092000Z
DTEND:20080911T094000Z
UID:TALK13370@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Direct numerical solution begins with an initial velocity fiel
 d and uses the incompressible Navier-Stokes equation to evolve that field 
 forward in time. It has been a huge success and has provided theoretical s
 upport for a large number of experiments and natural phenomena. To find st
 eady solutions and traveling waves\, one must solve for velocity fields th
 at satisfy certain nonlinear requirements. To find periodic or relative pe
 riodic solutions\, one must solve for an initial velocity field that evolv
 es in time over a single period to reach a final state that is equal to th
 e initial state modulo certain symmetries. This talk will describe the use
  of direct numerical solution\, Krylov subspace methods\, and the hookstep
  technique from nonlinear optimization to find such solutions.
LOCATION:Seminar Room 1\, Newton Institute
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