Abstract To simulate Leidenfrost drops over a heated liquid pool (namely the liquid-substrate-based (LSB) Leidenfrost drops), a model of evaporation phase change contained within a three-fluid system is developed based on the ternary Cahn-Hilliard equations. In the numerical simulation, an axisymmetric model employing a hybrid LB-FD (lattice Boltzmann-finite difference) method is established, and the model and code are validated by two classical problems, i.e. lens spreading and drop evaporation. Then, the dynamics of LSB Leidenfrost droplets is unveiled numerically, and the results firstly present the distribution of evaporation flux, temperature and velocity near the LSB Leidenfrost drop. Meanwhile, this study also addresses the influence of several important parameters (including vapor Stefan number, vapor Prandtl number, drop Bond number, drop Ohnesorge number, releasing height and pool depth) on the evolution of drop volume and the configuration of quasi-equilibrium Leidenfrost system.

中文翻译：

---

建模 Leidenfrost 滴在加热的液体基底上

摘要 为了模拟加热液池上的 Leidenfrost 液滴（即基于液体基质 (LSB) 的 Leidenfrost 液滴），基于三元 Cahn-Hilliard 方程建立了包含在三流体系统中的蒸发相变模型。在数值模拟中，建立了采用混合LB-FD（格子玻尔兹曼有限差分）方法的轴对称模型，并通过透镜扩散和液滴蒸发两个经典问题对模型和代码进行了验证。然后，数值揭示了 LSB Leidenfrost 液滴的动力学，结果首先给出了 LSB Leidenfrost 液滴附近蒸发通量、温度和速度的分布。同时，本研究还解决了几个重要参数（包括蒸气 Stefan 数、蒸气 Prandtl 数、drop Bond 数、