The paper gives a detailed description of the developed numerical method for simulating the turbulent flow around a helicopter rotor and calculating its aerodynamic characteristics. The method is based on the original vertex-centered finite-volume EBR schemes. The features of these schemes are their higher accuracy that is achieved through the use of edge-based reconstruction of variables on extended quasi-one-dimensional stencils, and a moderate computational cost that allows for serial computations. When dealing with discontinuities or solutions with large gradients, a quasi-one-dimensional EBR-WENO scheme is used. The methods are implemented in the in-house code NOISEtte within the hybrid MPI-OpenMP parallel model. Validation of the developed techniques is carried out by simulating several cases for hovering and forward-flight regimes of helicopter rotors.