Nowadays, the design of highly specialized packings of complex geometry becomes a challenging task, and their hydrodynamic properties are perceived to be of primary importance. A part of the required knowledge concerns an influence of the packing geometry on the pressure drop caused by a turbulent single fluid flow. To check merits of different theoretical approaches, several advanced and simplified methods of turbulent flow modeling were compared and verified experimentally in the model systems of complex geometry. In particular, the numerical predictions of the standard k-epsilon turbulence model and the superficial flow model were juxtaposed against the structural macrocorrelations. The hydrodynamic resistance of various spatial compositions of spheres, bands, prisms, and tubes served as the reference data. An attempt was done to establish the conditions under which the pressure drop of the fluid flowing through a novel packing structure of complex geometry might be reliably predicted, In addition to indication of how to make the most of various methods of turbulent flow modeling, a few unsolved problems were pointed out as well.