AbstractThis article presents a novel coupling of numerical techniques that enable three-dimensional convection-driven microstructure simulations to be conducted on practical time scales appropriate for small-size components or experiments. On the microstructure side, the cellular automata method is efficient for relatively large-scale simulations, while the lattice Boltzmann method provides one of the fastest transient computational fluid dynamics solvers. Both of these methods have been parallelized and coupled in a single code, allowing resolution of large-scale convection-driven solidification problems. The numerical model is validated against benchmark cases, extended to capture solute plumes in directional solidification and finally used to model alloy solidification of an entire differentially heated cavity capturing both microstructural and meso-/macroscale phenomena.

中文翻译：

---

对流驱动凝固的并行元胞自动机格子 Boltzmann 方法

摘要本文提出了一种新的数值技术耦合，使三维对流驱动的微观结构模拟能够在适用于小尺寸部件或实验的实际时间尺度上进行。在微观结构方面，元胞自动机方法对于相对大规模的模拟是有效的，而格子玻尔兹曼方法提供了最快的瞬态计算流体动力学求解器之一。这两种方法都已在单个代码中并行化和耦合，从而可以解决大规模对流驱动的凝固问题。数值模型针对基准案例进行了验证，