| 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. |
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