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SUMMARY:An adaptive numerical method for multi-scale problems arising in p
 hase-field modelling of solidification - Prof Peter Jimack\, Computational
  PDEs Unit\, University of Leeds
DTSTART:20080529T103000Z
DTEND:20080529T113000Z
UID:TALK11516@talks.cam.ac.uk
CONTACT:Anne Alexander
DESCRIPTION:The phase-field method provides a diffuse interface approach t
 o the modelling and simulation of phase-change problems. For accuracy it i
 s desirable for the interface to be as narrow as possible and so the use o
 f mesh adaptivity in this region is quite natural. If the solver is not fu
 lly implicit however the very fine mesh in the interface region can place 
 excessive stability restrictions on the maximum time step that may be take
 n. This talk will illustrate some extreme examples of this phenomenon and 
 demonstrate how the problem can be efficiently overcome through a combinat
 ion of an adaptive stiff time integration scheme and an adaptive nonlinear
  multigrid solver. The effectiveness of the\nresulting algorithm\, and imp
 lementation\, will be demonstrated through the solution of some severe mul
 ti-scale problems arising in the solidification of dilute binary alloys.
LOCATION:Open Plan Area\, BP Institute\, Madingley Rise CB3 0EZ
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