High-order composite compact schemes for simulation of viscous gas flows

Differential schemes up to the seventh order are used for a numerical description of conservation laws on curvilinear grids. The schemes combine symmetric compact differences and diffusiontype operators oriented according to the direction of characteristics. The spectral properties of the schemes are examined. Several model problems are computed. A numerical method for the Navier–Stokes equations combined with a two-parameter turbulence model is used to simulate two-dimensional viscous gas flows.