Numerical methods for fractional phase-field flows


主讲人:宋方应 福州大学研究员




内容介绍:In this talk, we will introduce fractional multi-phase models based on free  energy gradient flows. We develop a fractional extension of a mass-conserving  Allen–Cahn/Cahn-Hilliard phase field model that describes the mixture of two  incompressible fluids. The fractional order controls the sharpness of the  interface, which is typically diffusive in integer-order phase-field models. The  spatial discretization is based on a spectral method. We will introduce several  stabilized schemes for the temporal discretization including alternatively  direction implicit (ADI) and a variant of scalar auxiliary variable (SAV)  methods. Finally, we will present some numerical results to demonstrate the  efficiency of the numerical methods in terms of stability and accuracy.

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