An adaptive numerical method for multi-scale problems arising in phase-field modelling of solidification

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• Prof Peter Jimack, Computational PDEs Unit, University of Leeds
• Thursday 29 May 2008, 11:30-12:30
• Open Plan Area, BP Institute, Madingley Rise CB3 0EZ.

If you have a question about this talk, please contact Anne Alexander.

Lunch in the open plan area at 12.30

The phase-field method provides a diffuse interface approach to the modelling and simulation of phase-change problems. For accuracy it is desirable for the interface to be as narrow as possible and so the use of mesh adaptivity in this region is quite natural. If the solver is not fully implicit however the very fine mesh in the interface region can place excessive stability restrictions on the maximum time step that may be taken. This talk will illustrate some extreme examples of this phenomenon and demonstrate how the problem can be efficiently overcome through a combination of an adaptive stiff time integration scheme and an adaptive nonlinear multigrid solver. The effectiveness of the resulting algorithm, and implementation, will be demonstrated through the solution of some severe multi-scale problems arising in the solidification of dilute binary alloys.

This talk is part of the Institute for Energy and Environmental Flows (IEEF) series.

This talk is included in these lists:

• All Talks (aka the CURE list)
• Cambridge Energy Seminars
• Department of Earth Sciences seminars
• Institute for Energy and Environmental Flows (IEEF)
• NanoDTC Energy Materials Talks
• Open Plan Area, BP Institute, Madingley Rise CB3 0EZ
• history
• ps635

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