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SUMMARY:Numerical computation of water waves with discontinuous vorticity 
 - Mayumi Shoji (Japan Women's University )
DTSTART:20170809T090000Z
DTEND:20170809T100000Z
UID:TALK75121@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>We consider progressive water waves with a piecewise con
 stant vorticity distribution. <br>Both capillary-gravity waves and gravity
  waves of finite depth are considered.<br>This is a bifurcation problem of
  a complicated structure of solutions with many parameters. <br>It is hard
  to classify the structures of solutions mathematically.<br>We thus resort
  to a numerical method in order to see their bifurcating phenomena with sy
 stematic computations. <br>Another concern of ours is to see whether and w
 hen stagnation points appear.<br>The difficulties for numerical computatio
 ns are that it is a free boundary problem and we need a formulation not to
  exclude stagnation points.<br>We will show our numerical results with var
 ious values of vorticity\, depth of fluid and traveling speed.<br><br></sp
 an><br>
LOCATION:Seminar Room 1\, Newton Institute
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