Numerical solution to phase-field model of solidification: A review

Recent advances in improving the computational efficiency of the phase-field simulations of solidification microstructures are reviewed. The parallel progress of four typical approaches, namely, multigrid, adaptive mesh refinement method, semi-implicit Fourier spectral method, and graphical processing units (GPUs) architecture, is highlighted. Large-scale spatiotemporal simulations are successfully performed to cover essential aspects of multiphysics with the capability of these algorithms. Focus is put on the principles, applications, and comparison of the four algorithms, while solidification theories and discretization methods are outlined.

Automated summary

Recent advances in improving computational efficiency of phase-field simulations of solidification microstructures are summarized. The parallel progress of four typical approaches, including multigrid, adaptive mesh refinement method, semi-implicit Fourier spectral method, and graphical processing units (GPUs) architecture, is highlighted. Large-scale spatiotemporal simulations successfully cover essential aspects of multiphysics using these algorithms. The principles, applications, and comparison of the four algorithms are discussed, along with an outline of solidification theories and discretization methods.