【摘 要】
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Phase field models are widely used to describe the two phase system in which each phase is represented by a smooth function called the order parameter.The evolu
【机 构】
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HongKongUniversityofScienceandTechnology,China
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Phase field models are widely used to describe the two phase system in which each phase is represented by a smooth function called the order parameter.The evolution equation of the system is usually derived by the gradient flow of the total free energy.The generalization of the approach to the N phase (N ＞=3) requires some extra consistency conditions in order for the model to give physically relevant results.We propose a projection approach for deriving the evolution equations for the multi-phase system.Efficient numerical methods are also developed for the system.We will also show some numerical results for dynamics of triple junction and four phase contact line.
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