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：我们提出了一种用于逼近两个通过自由界面耦合的交叉扩散系统的两点通量近似有限体积格式，以模拟气相沉积过程。移动界面采用切割单元方法处理，其中网格在界面附近进行局部变形。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。