In this paper, we propose a procedure combining Lattice-Boltzmann and finite element simulations to model the effects of capillary pressure in porous microstructures. Starting from an explicit geometry of the microstructure, the Lattice-Boltzmann method is used to simulate the condensation from vapor phase to liquid and predict the geometry of capillary liquid films and liquid phases for arbitrary geometry of the solid skeleton. Then, a procedure is provided to prescribe surface tension and pressure due to the capillary liquid films and liquid phases. The solid skeleton can deform elastically under the action of the liquid and its deformation can be captured using the finite element method. Finally, a procedure to extract the shrinkage strain and the effective macroscopic behavior of the material, taking into account the explicit geometry of the microstructure and of the liquid capillary phases for a given saturation is described. Several numerical examples are provided to validate the methodology and show its potential.

在本文中，我们提出了一种将Lattice-Boltzmann与有限元模拟相结合的程序来模拟毛细压力在多孔微结构中的影响。从微观结构的显式几何学开始，使用Lattice-Boltzmann方法来模拟从汽相到液体的冷凝，并预测毛细管液膜和液相的几何形状，以获取固体骨架的任意几何形状。然后，提供规程以规定由于毛细管液膜和液相引起的表面张力和压力。固体骨架可以在液体的作用下发生弹性变形，并且可以使用有限元方法捕获其变形。最后是提取材料的收缩应变和有效宏观行为的程序，考虑到给定的饱和度，考虑了微观结构和液相毛细管相的显式几何形状。提供了一些数值示例来验证该方法并显示其潜力。