High-order WENO schemes on unstructured tetrahedral meshes

The paper discusses finite volume WENO reconstruction applied to simulation of compressible 3D Euler flows using unstructured tetrahedral meshes. The main point of interest is the case when the mesh becomes highly irregular or stretched. Special transformation is used in such cases to recover the third-order accuracy of reconstruction. This transformation has to be locally applied to each stencil on which the reconstruction is sought. This procedure is verified first on a sequence of 3D meshes in a unit cube. The performance of the full algorithm (including the extended nonlinear weighing) is verified for the 3D subsonic and transonic flows