Curvilinear element of the discontinuous Galerkin method designed to capture the labyrinth seal geometry exactly

The present study applies the discontinuous Galerkin finite element method to a numerical simulation of compressible fluid flow through labyrinth seal. This paper is proposes curvilinear hexahedral element, which deformed in such way that it matches rotated walls seal exactly. A performed on staggered with two teeth rotor and one tooth stator. For simulation, three computational meshes different refinement are considered. All simulations for both stationary rotating at 50 Hz. obtained results compared computed by commercial CFD software Ansys Fluent.