sharp interface modelの例文

• A phase field model can be constructed to purposely reproduce a given interfacial dynamics as represented by a sharp interface model.
• In this case the only reference is the sharp interface model, in the sense that it should be recovered when performing the small interface width limit of the phase field model.
• Parameters of the model are then chosen by studying the limit of the model with this width going to zero, in such a way that one can identify this limit with the intended sharp interface model.
• The result gives a partial differential equation for the diffusive field and a series of boundary conditions at the interface, which should correspond to the sharp interface model and whose comparison with it provides the values of the parameters of the phase field model.
• This led to the development of phase field models of second order, meaning that as the interface thickness, \ varepsilon, becomes small, the difference in the interface of the phase field model and the interface of the related sharp interface model become second order in interface thickness, i . e ., \ varepsilon ^ 2.