Numerical methods for fractional phase-field flows

发布者:文明办作者:发布时间:2019-11-28浏览次数:10


主讲人:宋方应 福州大学研究员


时间:2019年11月29日15:30


地点:3号楼301


举办单位:数理学院


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.