On the structure of internal dissipation of composite compact schemes for gasdynamic simulation

The structure of the internal dissipation terms in composite compact schemes intended for gasdynamic simulation is considered. The main cause of the insufficient stability of high-order accurate schemes is indicated. A method for controlling the dissipative properties of schemes is proposed that makes it possible to compute compressible gas flows with strong shock waves. The supersonic turbulent unsteady flow past a two-dimensional cavity directed toward the stream is computed.