Timing is vital for oil spill response operations. However, deployment of the traditional response equipment, unfortunately, takes much more time. Therefore, innovative solutions are needed to minimize time losses. One of these innovative solutions is the air bubble barrier. Air bubble barrier creates a barrier to anything floating in the water, especially keeping the floating oil and petroleum in the area where it is spilled. Computational fluid dynamics (CFD) simulation has grown in importance as a resource for air bubble barrier studies in recent years. Despite the extraordinary success of Reynolds-averaged Navier-Stokes (RANS) applications on air bubble barriers, just a few studies concentrate on mesh sensitivity, one of the most fundamental issues with CFD methods. The main purpose of this study is to perform a mesh convergence study by simulating an air bubble barrier in the Simcenter STAR CCM+ software. In this context, in this simulation, a 2D numerical model (3.6 x 1.2 [m]: Length x Depth) is considered. The mesh convergence study has been performed by calculating the nozzle inlet mean static pressure and the mean horizontal surface velocity. As a result, it is evident that the mesh base size and mesh element count in case 10 can be employed to maintain the solution time-optimal state in the upcoming numerical simulations on the 2D and 3D air bubble barrier. Findings from this parametric study will be incorporated as mesh control rules into the 2D and 3D simulations of the air bubble barrier.