Special Session 116: 

A New Phase-Field Model Using Fractional Laplacians: Algorithm and Simulations

Chuanju Xu
Xiamen University
Peoples Rep of China
Co-Author(s):    Chuanju Xu
Abstract:
We discuss a fractional mass-conserving Allen-Cahn phase-field model that describes the mixture of two incompressible fluids. The new fractional model allows controlling the sharpness of the interface, which is typically diffusive in integer-order phase-field models. The spatial discretization is based on a Galerkin spectral method whereas the temporal discretization is based on a stabilized ADI scheme. Specially we focus on how to efficiently compute the eigen-spectrum and fractional Laplacians in prototype complex-geometry domains. A number of numerical examples are provided to demonstrate the accuracy of the method and the ability to control the interface thickness between two phases.