PPP Norway: Upscaling Evolving Microstructures and its Applications
Funding Agency DAAD
Funding Period
Associated Universities
2016 — 2017
FAU Erlangen-Nürnberg, University of Bergen
Principal Investigators Florin Radu, Kundan Kumar, Nadja Ray, Raphael Schulz

Reactive flows are of great importance in porous media, bio/-medical, and industrial applications. In a porous medium, solid grains (forming the solid matrix) are surrounded by void spaces (the pores) in which fluids or gases are flowing and transporting chemical species. The chemical species are possibly interacting with the grain boundaries, which may lead to non-negligible geometry changes. This forces the flow to create new pathways and affects the flow and transport characteristics of the medium. A striking feature of these geometrical changes is that they occur at the pore scale, however, have a strong influence on the macroscopic quantities. Conducting numerical simulations for a macroscale domain resolving the pore scale geometry is computationally prohibitive and quite often unnecessary. Therefore, we need models at the macroscale that take into account the effect of processes taking place at the pore scale.

The International Research Training Group (IGK 1529) Mathematical Fluid Dynamics
Funding Agency DFG, JSPS
Funding Period
Associated Universities
2009 — 2012
TU Darmstadt, Waseda University, University of Tokyo
Principal Investigators Prof. Dr. Mathias Hieber, Prof. Dr. Reinhard Farwig, Prof. Dr. Yoshihiro Shibata, Prof. Dr. Masao Yamazaki, Prof. Dr. Yoshikazu Giga, etc.

Our research focuses on analytical, stochastic, geometric and optimization as well as on aerodynamical aspects of Fluid Dynamics. The program mainly seeks to combine methods from several mathematical disciplines, as analysis, stochastics, geometry and optimization to pursue fundamental research in Fluid Dynamics. The International Research Training Group distinguishes itself through joint teaching and supervision. The core program consists of interdisciplinary lectures and seminars and includes research and study periods in Tokyo.

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