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；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.