GRK 1554: Micro-Macro Interactions of Structured Media and Particle Systems

计算研究具有微观结构的材料的微观和宏观行为之间的关系已成为工程中的重要工具。在这种方法的大量应用中，我们选择了两个领域：(1)具有微观结构的固体金属，如织体、相、空隙、夹杂物等；(2)流体流动或与流体相相互作用的固体颗粒系统。在这两个领域中，我们计划研究在两个不同尺度上具有不同特征性质的问题。在金属固体中，这些是具有微观结构的材料，如晶粒、空洞、夹杂物、相、裂纹等。在颗粒凝聚体中，这些颗粒具有亚结构和孔隙网络，包含流体并与流体相互作用，如悬浮液的机械脱水，流化床中的颗粒形成，颗粒系统的热干燥等。在微观尺度上，我们通常比在宏观尺度上有更多的物理洞察力。因此，我们将在这个尺度上使用数值模拟来提供我们在工程应用的宏观尺度上所需的信息。对于后者，我们使用的是平均量。这些都是通过同质化来确定的，必须针对具体问题量身定制。对于技术应用，我们必须在宏观尺度上开发可用于模拟和设计实际工业过程的模型。

The computational investigation of the relation between microscopic and macroscopic behaviour of materials with a micro structure has become an important tool in engineering. Out of a large number of applications of this approach we have chosen two areas: (1) solid metals with micro structures such as textures, phases, voids, inclusions etc., (2) systems of solid particles in fluid flow or in other interaction with fluid phases. In both areas we plan to study problems that have different characteristic properties on two differing scales. In the metallic solids these are materials with microstructures such as grains, voids, inclusions, phases, cracks etc. In particle agglomerates these are particles with substructures and pore networks that contain and interact with fluids, as is the case in mechanical dehydration of suspensions, particle formation in fluidised beds, thermal drying of particle systems etc. On the micro scale we usually have more physical insight than on the macroscopic scale. Therefore, we will use numerical simulations on this scale to provide information that we need on the macroscopic scale of engineering applications. On the latter, one works with averaged quantities. These are determined through homogenisations that have to be tailored to the specific problem. For the technical applications we have to develop models on the macroscopic scale that can be used in the simulation and design of practical industrial processes.