The hybrid method for approximation of advective terms is proposed in order to resolve flows in the wide Mach numbers region. This hybrid method is based on the Kurganov- Tadmor (KT) scheme and projection method PISO (Pressure Implicit with Splitting Operators). In order to study hybrid method properties a set of cases with analytical solution or experimental data for different classes of flows was considered: a) compressible flows – propagation of the wave in straight channel (Sod’s Problem), supersonic flow over flat wedge, supersonic flow over backward step, flow over forward step with supersonic velocities, flow in supersonic converging-diverging nozzle with shock wave; b) incompressible flows – subsonic flow of laminar viscous fluid in the channel with circle cross section, flow around cylinder in laminar and turbulent regimes, mixing of two gases in 2D flat channel; c) industrial and academic verification tests – superisonic flow of air in NASA nozzle for pressure ratio 5, expansion of stationary equilibrium hot plasma in vacuum; d) qualitative assessment of the hybrid method adequacy for industrial cases – numerical simulation of flows in high speed micro- compressor, simulation of two-phase flow in liquid ring pump. All materials are available for public access through GitHub project.
