Porous media applications often face the challenge of the presence of multiple scales in space and time as well complex geometries. These have a direct impact on discretization and solution strategies, in particular for coupled problems introducing a range of different and potentially dynamically changing problem characteristics. With applications in mind ranging from geological carbon storage to perfusion of biological tissue, both accurate, robust and efficient numerical methods are highly desirable. The focus of this session lies on advanced discretizations and efficient solvers for coupled problems in porous media targeting these and related mathematical and computational issues.