Proposed a new model for flow around buildings and obstacles. On the basis of the CABARET schemes, a conservative finite difference scheme of the Navier-Stokes equations is constructed with the equation of state of a weakly compressible medium in the isothermal approximation. Verification of the numerical scheme in the test case A1-1 from the CEDVAL project of the Meteorological Institute of the University of Hamburg was carried out. Statistical data are obtained for the comparison with experimental data over the averaged velocity field in control sections.