论文标题
在多孔培养基中，用于降水和溶解的相位模型的自适应多尺度迭代方案
An adaptive multi-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media
论文作者
论文摘要
多孔培养基中的矿物沉淀和溶解过程可以改变孔尺度的培养基结构。当毛孔的几何形状以apriori未知方式变化时，这种变化使数值模拟成为一项艰巨的任务。为了处理此类方面，我们在这里采用了两个规模相位模型，并为解决方案的数值近似提出了强大的方案。该方案考虑了模型中的比例分离以及模型的非线性特征。在证明了该方案的收敛性后，制定了一种自适应的两级策略，从而提高了模拟的效率。提出了数值测试，显示了在存在各向异性和异质性的情况下该方案的效率和准确性。
Mineral precipitation and dissolution processes in a porous medium can alter the structure of the medium at the scale of pores. Such changes make numerical simulations a challenging task as the geometry of the pores changes in time in an apriori unknown manner. To deal with such aspects, we here adopt a two-scale phase-field model, and propose a robust scheme for the numerical approximation of the solution. The scheme takes into account both the scale separation in the model, as well as the non-linear character of the model. After proving the convergence of the scheme, an adaptive two-scale strategy is incorporated, which improves the efficiency of the simulations. Numerical tests are presented, showing the efficiency and accuracy of the scheme in the presence of anisotropies and heterogeneities.
