In the present research, the well-known test FSI problem of wind resonance phenomenon simulation for a circular cylinder is considered. It is well-investigated, both experimentally and numerically (Chen et al. in Phys Fluids 2011, [3]), for a wide range of parameters: Reynolds number, airfoil surface roughness, incident flow turbulence, etc. In this research, the simplest case is considered, in which the roughness influence is neglected and the incident flow is assumed to be laminar. Several numerical codes, both commercial and open source, can be used for simulating airfoil oscillations in the flow. Four numerical methods and the corresponding open-source codes are considered: the finite volume method with deformable mesh in OpenFOAM$$^{\textregistered }$$; the particle finite element method with deformable mesh in the Kratos software; the meshfree Lagrangian vortex element method; and the LS-STAG immersed boundary method. The last two methods are implemented as in-house numerical codes. A comparison is carried out for the efficiency analysis of these methods and their implementations. It is shown that using OpenFOAM$$^{\textregistered }$$ is preferable for numerical simulations with FSI problems similar to the ones presented here, in which the investigation of system behavior within a wide range of parameters is required.