The fundamental research field of flow and transport in porous media is highly governed by non-linearities, and the question of efficient modelling and simulation is an outstanding challenge with respect to environmental, technical, and biological applications. Applications include classical porous media fields, e.g., groundwater-resource management and geothermal engineering. In recent years, the concepts of porous media theory were also applied to technical problems, e.g., optimization of fuel cell water management or bio-medical applications, e.g., therapeutics transport in human blood vessels and tissue for cancer treatment strategies. Most recently, the classical environmental field became more important in the context of subsurface energy storage and the technical application field is extended by advanced energy storage mechanisms.

A variety of characteristic scales (spatial and temporal) can be identified in porous media. Those scales are generally related to the structure of the porous media heterogeneities. The flow and transport phenomena in these media can be influenced by coupled mechanisms resulting from the non-linear interplay between physical, chemical, and/or biological processes.

To tackle the problems in this field, an interdisciplinary approach is crucial. The participating scientists excel in such diverse fields as applied mathematics, scientific computing, physics, environmental, mechanical, chemical, aerospace  and civil engineering, geosciences, and petroleum engineering. Furthermore, the fundamental research and the research on the optimisation of efficient numerical schemes are interlinked with applied research in numerous fields.