Discretization of Navier-Stokes equations on moving unstructured meshes

Some approaches to discretization of Navier-Stokes equations on moving unstructured meshes, methods of mesh evolution on every time step, and finite difference schemes satisfying the geometric conservation law are discussed. Numerical simulation of inviscid compressible gas flow around a linear profile cascade performing small harmonic vibrations is performed. The results obtained are compared with available computational and experimental data.