In this study, we simulated the dynamics of the gas flow near a one-parameter model of the building. To study the gas tracing process, several types of barriers of various heights were applied. Ethylene - С2Н4 was chosen as an indicator gas. Numerical modeling was performed using the time-averaged Navier-Stokes (RANS) equations, with the Boussinesq approximation, by comparing the simulation results with the experimental results of famous authors. According to the results of the study, it was found that the use of the RANS model in conjunction with k-e Realizable (RLZ), kw SST (SST), DES k-e (DES) turbulence models yielded practically comparable results with small deviations, which made it possible to choose k-e Realizable turbulence models. In addition, it was found that with an increase in the height of the barrier, an increase in the retention properties in the region between the structure and the barrier is observed. In general, the numerical results are commensurate with the experimental values, which confirms the correctness of the mathematical and numerical models used. These studies can be applied in the future for a more detailed study of the influence of perpendicular flows of the spread of pollutants within the urban canyon.