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In this section we present the discontinuous Galerkin (DG) discretization of the three dimensional Euler and Nervier-Stokes equations for hybrid-type meshes. Without loss of generality the general finite element discretization framework is presented for hexahedral type meshes since all computations of the DG method are performed at the computational domain on the standard cubic element and transferred back to the physical domain elements (tetrahedras, prisms, pyramids, or hexahedras) using collapsed coordinate transformations. This approach greatly facilitates implementation of hybrid meshes where neighboring element communication is performed through the numerical flux defined on the element faces. The numerical solution has been validated for flow over a cylinder and for flow over a wing with Joukowsky airfoil section.