A level set method for particle dissolution in a binary alloy

A level set method for particle dissolution in a binary alloy

Javierre, E.
Vuik, C.
Vermolen, F.J.
Segal, A.

Electrical Engineering, Mathematics and Computer Science

2005

A mathematical model is proposed for the dissolution of stoichiometric particles in binary alloys occurring during the heat treatments of as-cast aluminium alloys prior to hot extrusion. The Level Set method is used to capture the interface location implicitly. The front velocity, only dened on the moving interface, should be advected to the whole computational domain. This advection is done in Cartesian or in normal directions. The numerical solution is carried out by a combination of finite difference and finite element methods. The cut-cell method is employed to adapt the nite element mesh to the interface position. Two- and three-dimensional results are presented. The numerical solution is compared with analytical solutions. Conservation of mass is also evaluated.

Stefan problem
phase transformations
similarity solutions
level set method
cut-cell

http://resolver.tudelft.nl/uuid:b62a4cb3-07b7-4553-a087-c9e78e8342e7

Delft University of Technology, Faculty of Electrical Engineering, Mathematics and Computer Science, Delft Institute of Applied Mathematics

1389-6520

Reports of the Department of Applied Mathematical Analysis, 05-07

Institutional Repository

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(c) 2005 Delft Institute of Applied Mathematics