论文标题
数学多尺度水净化模型
Mathematical multi-scale model of water purification
论文作者
论文摘要
在这项工作中，我们考虑了水处理过程的数学模型，并确定了该模型的有效特征。在微观长度尺度上，我们用带有吸收的高对比度周期性培养基中的晶格随机行走来描述我们的模型。然后应用高尺度程序，我们获得了总质量演化的宏观模型。我们讨论动态和固定方案，并展示纯化过程的效率如何取决于宏观模型的特征。
In this work we consider a mathematical model of the water treatment process and determine the effective characteristics of this model. At the microscopic length scale we describe our model in terms of a lattice random walk in a high-contrast periodic medium with absorption. Applying then the upscaling procedure we obtain the macroscopic model for total mass evolution. We discuss both the dynamic and the stationary regimes, and show how the efficiency of the purification process depends on the characteristics of the macroscopic model.
