Hi All,
Is is possible to model a two-phase flow by a (pseudo-)spectral method? Mostly, (pseudo-)spectral method is used in a single phase flow. Now consider a box filled with liquid alloy and the system is cooled from, say the right. Of course, the alloy melt near the right wall will crystallize. Certainly, there would be two kinds of solids, one is attached to the wall and the other is free to move, probably gets entrained in major convection cells.
For the attached one, a solid fraction, as a function of space and time, is required to describe all physical variables like temperature and concentration. But I don't know how to include solid fraction into vorticity-streamfunction system.
For the free-moving one, a solid fraction is also needed and a way to track those particles is requires also.
Thanks!
Best,
Mingming
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