A Comparative Study Of Discontinuous High Order Methods For Compressible Flows

A comparative study of three numerical formulations for discontinuous high-order reconstruction on unstructured grids is performed. TheWeighted Essentially Non-Oscillatory (WENO), the Spectral Finite Volume (SFV) and the Spectral Difference (SD) methods are considered for the spatial discretization of the 2-D Euler equations. The study compares, in particular, results for linear, quadratic and cubic reconstructions. The test cases include problems with strong shock waves and other discontinuities which provide a comparative assessment of the resolution capability of the tested schemes. 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