Projekt
Diffuse interface methods for computations in materials science
| Forskningsområde: |
Strömningsmekanik |
| Projektmedlemmar: |
| Amberg, G.A. |
| Loginova, I. |
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| Finansiär: |
TFR,
VR
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ProjektbeskrivningThe structure of materials is changed by phase transformations during synthesis and processing. Many phase transformations involve diffusion and/or heat transfer and the rate of such a phase transformation may often be evaluated quite precisely by solving a diffusion problem. The growth or dissolution of a secondary particle in a parent phase is a classical problem. When there are several diffusing species the problem becomes quite complicated. The phase diagram becomes multidimensional and thus the operating compositions at the moving phase interface cannot be read directly from the phase diagram. At present such multicomponent systems have only been solved by assuming very simple geometries, e.g. spheres, plates, etc. A drawback is that the shape of a growing particle is not predicted by the calculation. Diffuse interface methods have been used increasingly to study the dynamics of phase boundaries over the last ten years. In this approach a new field variable, the order parameter, is used to track the phase boundary. A value of 0 or 1 designates the two phases, and transition regions are identified with the phase boundary. Over the last ten years a number of phase field simulations of thermal solidification have appeared in the litterature. However, until now no simulations for truly multicomponent transformations in two or three dimensions have been reported. It is proposed to develop diffuse interface methods that can treat multicomponent phase change. The numerical methods that have been used so far must be improved significantly in order to do such simulations efficienty.
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