Investigation of industrial, environmental and scientific problems

• Numerical simulation of one-phase and multi-phase incompressible flows (with own and comercial software)
• Mathematical models and numerical simulation of flows in porous, or in porous and plain media
• Mathematical models and numerical simulation of solidification of metals and alloys
• Numerical simulation of heat and mass transfer processes, as well as of phase change processes

Basic research in applied mathematics

• Numerical algorithms for computational fluid dynamics (CFD) and for computational heat and mass transfer problems
• Finite volume discretizations for elliptic interface problems
• Fictitious regions method
• Multigrid iterative methods and local refinement

• Modelling of liquid transport in hygienic materials in the presence of superabsorbent polymers (SAP)
• Algorithms for simulation of flows in plain and porous media
• Multigrid, local refinement solver for incompressible Navier-Stokes equations

• papers in journals and series
• papers in conference proceedings
• technical reports
• papers in in preparation or submitted

• Lakdawala, Zahra: On numerical simulation of filtration processes, defense expected 2009 in TU-Kaiserslautern.
• Schmidt, Sebastian: (co-supervised with Latz, A. ), On numerical simulation of twophase granular flows, defense expected 2009 in TU-Kaiserslautern.
• Willems,Joerg: On numerical upscaling of porous media flows in the case of no scale separation, defense expected 2009 in TU-Kaiserslautern.
• Nam, Alexander: (co-supervised with Orlik, J.), Computations of effective properties of technical textilles via homogenization approach, defense expected 2010 in TUKaiserslautern.
• Printsypar,Galina: (co-supervised with Rief, S. ), Simulation of two-phase flow in porous media accounting for dynamic effects in the capillary pressure-saturation relationship, defense expected 2012 in TU-Kaiserslautern.