Double-skin façade systems have been commonly used to improve the energy efficiency of buildings. This type of façade systems consists of an internal façade onto which an external façade is placed, with the gap between the two façades ranging from a few centimeters to two meters. A special type of a double-skin façade system is the porous double-skin façade, where porosity is achieved using openings on the external façade. When the wind flows around buildings with this type of façade, air flow occurs through the openings on the external façade and between the two façades. This type of flow yields pressure distribution on the building that is not characteristic of buildings with a single façade. In this study, the computational analysis of atmospheric air flows around the building model equipped with a porous double-skin façade was conducted for the case of high porosity of the external façade. The appearance of the building model and the porous façade, as well as the characteristics of the atmospheric boundary layer model, were adopted from the wind-tunnel experiments. Two approaches to computational modeling of the wind flow were addressed. The first approach involved specifying the volumetric flow of the fluid at the inlet to the computational domain, while the second approach was based on the direct modeling of the homogeneous atmospheric boundary layer. The computational model was developed using the OpenFOAM software package, while the spatial discretization of the computational domain was performed using the CF-MESH+ software package. The obtained results were compared with the results of laboratory experiments.