We propose a two-point flux approximation finite-volume scheme for the approximation of two cross-diffusion systems coupled by a free interface to account for vapor deposition. The moving interface is addressed with a cut-cell approach, where the mesh is locally deformed around the interface. The scheme preserves the structure of the continuous system, namely: mass conservation, nonnegativity, volume-filling constraints and decay of the free energy. Numerical results illustrate the properties of the scheme.

翻译：我们提出一种两点通量近似有限体积格式，用于逼近由自由界面耦合的两个交叉扩散系统，以模拟气相沉积过程。移动界面采用切割网格方法处理，其中网格在界面附近局部变形。该格式保持了连续系统的结构特性，即：质量守恒、非负性、体积填充约束以及自由能的衰减。数值结果展示了该格式的性质。