Abstract In this study, we present a novel fixed-grid interface-tracking method using finite volume method to simulate multidimensional rapid solidification (RS) of under-cooled pure metal. The discretized advection equation for solid fraction function is solved using the THINC/WLIC method, which is a VOF method. The governing equations for fluid flow are solved numerically using pressure-velocity coupling SIMPLE algorithm in a 2-D model with incompressible Newtonian fluid. The energy equation is modeled using an enthalpy-based formulation. The nonequilibrium solidification kinetics, interface tracking, undercooling, nucleation, heat transfer, and movement of liquid are included in the presented RS model.

中文翻译：

---

一种用于过冷液态金属快速凝固的新型固定网格界面跟踪算法

摘要 在这项研究中，我们提出了一种新的固定网格界面跟踪方法，使用有限体积法来模拟过冷纯金属的多维快速凝固 (RS)。固体分数函数的离散平流方程使用 THINC/WLIC 方法求解，这是一种 VOF 方法。在不可压缩牛顿流体的二维模型中，使用压力-速度耦合 SIMPLE 算法对流体流动的控制方程进行数值求解。能量方程使用基于焓的公式建模。非平衡凝固动力学、界面跟踪、过冷、成核、传热和液体运动都包含在所呈现的 RS 模型中。