标题： 单体对流耦合相变模拟 - 验证与可重复性 显示英文标题

标题： Monolithic simulation of convection-coupled phase-change - verification and reproducibility

摘要： 相变过程中熔化和凝固的相界面强烈受到液相中对流的影响。 一种模拟其瞬态演化的办法是将不可压缩流动模型与焓形式的能量平衡方程耦合。 会出现两种强非线性，分别描述了相间粘度的变化和相变潜热。 所得到的PDE耦合系统可以通过单域半相场、变粘度、有限元方法结合单块系统耦合和全局牛顿线性化来求解。 为了实现现实的相变区域，还需要基于复杂网格自适应的灵活实现。 在本文中，我们介绍了将这种计算模型集成到我们称为Phaseflow的仿真工具中的初步步骤。 Phaseflow利用有限元软件FEniCS，该软件包含一种面向目标的自适应网格细化的双重加权残差方法。 Phaseflow是一个开源的、与维度无关的实现，通过适当的参数选择，可以简化为经典的基准情况，包括驱动腔和Stefan问题。 我们展示了并讨论了这些情况、十八烷PCM对流耦合熔化基准以及一个初步的三维对流耦合熔化示例的数值结果，证明了灵活的实现。 尽管是初步的，但据我们所知，后者是该方法的第一个公开的三维结果。 在我们的工作中，我们特别强调可重复性，并提供了一个易于使用的便携式软件容器，使用Docker。 显示英文摘要

摘要： Phase interfaces in melting and solidification processes are strongly affected by the presence of convection in the liquid. One way of modeling their transient evolution is to couple an incompressible flow model to an energy balance in enthalpy formulation. Two strong nonlinearities arise, which account for the viscosity variation between phases and the latent heat of fusion at the phase interface. The resulting coupled system of PDE's can be solved by a single-domain semi-phase-field, variable viscosity, finite element method with monolithic system coupling and global Newton linearization. A robust computational model for realistic phase-change regimes furthermore requires a flexible implementation based on sophisticated mesh adaptivity. In this article, we present first steps towards implementing such a computational model into a simulation tool which we call Phaseflow. Phaseflow utilizes the finite element software FEniCS, which includes a dual-weighted residual method for goal-oriented adaptive mesh refinement. Phaseflow is an open-source, dimension-independent implementation that, upon an appropriate parameter choice, reduces to classical benchmark situations including the lid-driven cavity and the Stefan problem. We present and discuss numerical results for these, an octadecane PCM convection-coupled melting benchmark, and a preliminary 3D convection-coupled melting example, demonstrating the flexible implementation. Though being preliminary, the latter is, to our knowledge, the first published 3D result for this method. In our work, we especially emphasize reproducibility and provide an easy-to-use portable software container using Docker.