The phase field method is an effective tool for modeling microstructure evolution in materials. Many efficient implicit numerical solvers have been proposed for phase field simulations under uniform and time-invariant model parameters. We use Eyre's theorem to develop an unconditionally stable implicit solver for spatially non-uniform and time-varying model parameters. The accuracy, unconditional stability, and efficiency of the solver is validated against benchmarking examples. In its current form, the solver requires a uniform mesh and may only be applied to problems with periodic, Neumann, or mixed periodic and Neumann boundary conditions.

翻译：相场法是模拟材料微观结构演化的有效工具。针对均匀且时间不变的模型参数下的相场模拟，已有许多高效的隐式数值求解器被提出。我们利用Eyre定理，为空间非均匀且时间变参数下的模型开发了一种无条件稳定的隐式求解器。通过基准测试案例验证了该求解器的准确性、无条件稳定性及计算效率。当前版本中，该求解器要求使用均匀网格，并仅适用于周期性、Neumann或混合周期性与Neumann边界条件的问题。