Master Thesis of Michael Holzinger.

The dynamic wetting process and shape evolution of a droplet impacting perpendicular on a planar, plain and super-hydrophobic substrate are investigated by means of direct numerical simulation of an immiscible and isothermal binary fluid system. A diffuse-interface phase-field method is used, where the Cahn-Hilliard equation, describing the evolution of the phase-field parameter, is coupled with the Navier Stokes system. The model parameter of the phase-field method are the capillary width, the mobility, the mixing energy parameter and the equilibrium contact angle on fluid-solid boundaries. The mixing energy parameter model will be extended in this work in order to deal with dynamic out-of-equilibrium behavior of the diffuse-interface on a local scope. 2D-axis-symmetric simulations in combination with adaptive mesh refinement will be performed, the latter allowing for an immense reduction of control volumes far from the diffuse-interface. (...) For all simulations different mixing energy parameters models are compared with each other.