Modeling, Simulation and Optimization of Fluid Dynamic Applications

This book presents collaborative research in fluid dynamics, highlighting the interdisciplinary efforts of mathematicians, engineers, and geophysicists in Modeling, Simulation and Optimization of Fluid Dynamic Applications.

This book explores recent collaborations that merge the expertise of applied mathematicians, engineers, and geophysicists within a research training group (RTG) focused on Modeling, Simulation and Optimization of Fluid Dynamic Applications, funded by the Deutsche Forschungsgemeinschaft (DFG). The emphasis is placed on mathematical modeling, adaptive discretization, approximation strategies, and shape optimization using partial differential equations (PDEs).

The RTG is guided by the principle that mathematics not only drives applications but is also inspired by them. This philosophy fosters an interdisciplinary approach that enhances research in Modeling, Simulation, and Optimization. By integrating complex applications with tailored mathematical methods, the RTG aims to stimulate education and research that benefit both fundamental science and applied fields.

The research presented in this book encompasses nine projects that tackle significant fluid dynamic challenges arising from various applied sciences, including climate research, meteorology, energy, aerospace, marine engineering, and medicine. Additionally, it addresses fundamental aspects of analysis, approximation, and numerical methods. Overall, Modeling, Simulation and Optimization of Fluid Dynamic Applications represents a successful effort to bridge different research paradigms, showcasing a modern approach to addressing scientifically and societally relevant contemporary issues.