Computer Physics Communications ( IF 6.3 ) Pub Date : 2021-05-28 , DOI: 10.1016/j.cpc.2021.108042 Ang Zhang , Jinglian Du , Zhipeng Guo , Qigui Wang , Shoumei Xiong
By developing a multilevel thermosolutal phase-field lattice-Boltzmann method, we achieve three-dimensional phase-field simulations of dendrite growth with realistic Lewis number () in equivalently over 108 uniform meshes. In addition to parallel computing and mesh adaptivity, the high-performance computing algorithm allows the time step enlarged by 2–3 orders of magnitude in an explicit scheme. Dependence of specific interface area, an integral measure of solidification microstructure, on time t and solid fraction is revisited including the coarsening law and growth law (p and q are constants). The effect of latent heat on the evolution of specific interface area is evaluated, and such effect is equivalent to isothermal case or frozen-temperature approximation if Le exceeds 5000.
中文翻译:
凝固过程中特定界面面积的演变:三维热溶相场研究
通过开发多级热溶相场晶格-玻尔兹曼方法,我们实现了具有真实路易斯数的枝晶生长的三维相场模拟() 等价于 10 8 个均匀网格。除了并行计算和网格自适应外,高性能计算算法允许在显式方案中将时间步长扩大 2-3 个数量级。特定界面面积的依赖性,凝固微观结构的整体测量,时间t和固体分数 被重新审视,包括 粗化定律和 增长规律(p和q是常数)。评估了潜热对特定界面面积演变的影响,如果Le超过 5000 ,这种影响等效于等温情况或冻结温度近似。