GRK 431: Conservation Principles in the Modeling and Simulation of Marine, Atmospheric and Technical Systems

守恒定律决定了自然环境和技术系统中的大量过程。在这个研究生课程中，来自数学、工程或自然科学等不同领域的各种研究人员聚集在一起，研究守恒原理的建模和数值处理的共同方面。该科学项目涵盖了通过膜、声化学反应器或营养盐和蔬菜种子在海洋中的运输来分离物质混合物的过程建模。地面与大气的相互作用对湍流模拟提出了许多问题，同时也对不同的尺度模型提出了许多问题。相互作用过程对船舶在水面上的动力性能起着重要的作用。数学项目涉及非标准守恒律的数值格式、不同尺度的数值格式的发展以及建模部分得到的输运方程应采用的无网格方法。

Conservation laws determine a large number of processes in thenatural environment and technical systems. In this Graduiertenkolleg various researchers from different areas like mathematics, engineering or natural sciences come together to work on the common aspect for the modeling and numerical treatment of conservation principles.The scientific program covers the modeling of processes to separatemixtures of matter by membranes, sonochemical reactors or the transport of nutritive salts and vegetable seeds in the ocean. The interaction of the earth ground and the atmosphere poses questions on turbulence modeling as well as questions concerning different releavant scaling models. Interaction processes play an important role for the dynamic behaviour of ships at the water surface. The mathematical projects concern numerical schemes for non-standard conservation laws, the development of numerical schemes adapted to different scales as well as meshless methods, which should be used forthe transport equations obtained from the modeling part.