On the 18th and 22nd order differential schemes for the equations with convective and diffusion terms

The differential schemes of 18th and 22nd order for the convective and diffusion terms of partial differential equations are presented. The main estimated area of application for these schemes are the modeling of turbulence, vortex formation, aero acoustics. The properties of these compact differences are analyzed. Results of calculations of the isolated vortex instability and the formation of the subsonic turbulent coaxial jet are given.