Determination of material functions in porous media by direct numerical simulation of the two-phase system on the microscale

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The goal of SP II is to compute appropriate material functions for porous media based on the pore space geometry and the physical properties of the two-phase systems. To reach this goal, direct numerical simulations of the twophase system based on artificially generated as well as reconstructed porous media are performed. The artificial geometries are constructed in such a way, that the parameter space describing the pore space geometry is appropriately covered. The main work is to enhance the lattice Boltzmann method (Multi-time relaxation, Semiimplicit time stepping schemes) to cover a wider parameter range and a rigorous analysis of the parameters describing the pore space geometry and their impact on the material functions.