Using high-accuracy aeroacoustic schemes on regular grids for simulation of viscous flows

In the present study the high-accuracy finite-difference schemes which are widely used in computational aeroacoustics and referred to as dispersion-relation-preserving (DRP) schemes are implemented to simulation of viscous flows. The main result consists of the construction and verification of numerical boundary conditions. This includes conditions on a solid wall, on an artificial boundary, and an interface between them. A number of test problems have been calculated: a dissipation of the Lamb–Oseen vortex, the Taylor–Green vortex decay in both 2D and 3D, and plane channel flows in the infinite and semi-infinite (open outlet) cases.