An assessment of two numerical formulations for high-order reconstruction on unstructured triangular grids is performed. TheWeighted Essentially Non-Oscillatory (WENO) and the Spectral Finite Volume (SFV) methods are considered for the spatial discretization of the 2-D Euler equations. Several test cases discussed in the literature are addressed here to assess the resolution properties, effective order of accuracy and performance of the spatial discretization schemes. The study compares, in particular, results for linear and quadratic 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 for typical aerospace flows. In order to perform such comparisons different limiter formulations are considered. One of such formulations include the use of both the WENO and SFV discretization methods for reconstruction, depending on the flow characteristics, to provide a continuous high-order solution field, regardless of discontinuities. It is hoped that the results of the present effort could provide valuable guidelines for future developments regarding high-order methods for unstructured meshes. American Institute of Aeronautics and Astronautics (AIAA)Wolf, W.R., Azevedo, J.L.F., High-Order Unstructured Essentially Non Oscillatory andWeighted Essentially Non Oscillatory Schemes for Aerodynamic Flows (2006) AIAA Journal, 44 (10), pp. 2295-2310. , OctWolf, W.R., Azevedo, J.L.F., High-Order ENO and WENO Schemes for Unstructured Grids (2007) International Journal for Numerical Methods in Fluids, 55 (10), pp. 917-943. , DecBreviglieri, C., Basso, E., Azevedo, J.L.F., (2008) High-Order Unstructured Spectral Finite Volume Scheme for Aerodynamic Applications, , AIAA Paper No. 2008-7182, 26th AIAA Applied Aerodynamics Conference, Honolulu, HI, AugBreviglieri, C., Azevedo, J.L.F., Basso, E., Souza, M.A.F., Implicit High-Order Spectral Finite Volume Method for Inviscid Compressible Flows (2010) AIAA Journal, 48 (10), pp. 2365-2376. , OctBreviglieri, C., Azevedo, J.L.F., (2012) Unsteady Aerodynamic Applications Using High-Order Unstructured Grid Methods, , AIAA Paper No. 2012-0701, 50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Nashville, TN, JanWoodward, P., Colella, P., The Numerical Simulation of Two-Dimensional Fluid Flow with Strong Shocks (1984) Journal of Computational Physics, 54, pp. 115-173Roe, P.L., Approximatte Riemann Solvers, Parameter Vectors, and Difference Schemes (1981) Journal of Computational Physics, 43 (2), pp. 357-372Blazek, J., (2001) Computational Fluid Dynamics: Principles and Applications, , Elsevier, Oxford, UKSoetrisno, M., Imlay, S., Roberts, D., (1994) A Zonal Implicit Procedure for Hybrid Structured-Unstructured Grids, , AIAA Paper No. 94-0645Wang, Z.J., Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids: Basic Formulation (2002) Journal of Computational Physics, 178 (1), pp. 210-251. , MayWang, Z.J., Liu, Y., Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids II: Extension to Two-Dimensional Scalar Equation (2002) Journal of Computational Physics, 179 (2), pp. 665-698. , JulKnuth, D.E., (1998) The Art of Computer Programming, , 3: Sorting and Searching (2nd ed.), Addison-Wesley, Reading, MALiu, Y., Vinokur, M., Exact Integrations of Polynomials and Symmetric Quadrature Formulas over Arbitrary Polyhedral Grids (1998) Journal of Computational Physics, 140 (1), pp. 122-147. , Febvan den Abeele, K., Lacor, C., An Accuracy and Stability Study of the 2D Spectral Volume Method (2007) Journal of Computational Physics, 226 (1), pp. 1007-1026. , SeptOllivier-Gooch, C., Quasi-ENO Schemes for Unstructured Meshes Based on Unlimited Data-Dependent Least-Squares Reconstruction (1997) Journal of Computational Physics, 133, pp. 6-17Friedrich, O., Weighted Essentially Non-Oscillatory Schemes for the Interpolation of Mean Values on Unstructured Grids (1998) Journal of Computational Physics, 144 (1), pp. 194-212. , JulyJiang, G.S., Shu, C.W., Efficient Implementation of Weighted ENO Schemes (1996) Journal of Computational Physics, 126 (1), pp. 77-99. , JuneAbgrall, R., On Essentially Non-oscillatory Schemes on Unstructured Meshes: Analysis and Implementation (1994) Journal of Computational Physics, 114, pp. 45-58Harten, A., Chakravarthy, S.R., (1991) Multi-Dimensional ENO Schemes for General Geometries, , ICASE Report 91-76Qiu, J., Shu, C.-W., A Comparison of Troubled-Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters (2006) SIAM J. Sci. Comput, 27 (3), pp. 995-1013Bigarella, E., (2007) Advanced Turbulence Modeling for Complex Aerospace Applications, , Ph. D. Thesis, Instituto Tecnológico de Aeronáutica, São José dos Campos, SP, BrazilMcDevitt, J., Okuno, A.F., (1985) Static and Dynamic Pressure Measurements on a NACA 0012 Airfoil in the Ames High Reynolds Number Facility, , NASA TP-2485, NASA, JunEmery, A., An Evaluation of Several Differencing Methods for Inviscid Fluid Flow Problems (1968) Journal of Computational Physics, 2, pp. 306-331Sonar, T., On the Construction of Essentially Non-Oscillatory Finite Volume Approximations to Hyperbolic Conservation Laws on General Triangulations: Polynomial Recovery, Accuracy and Stencil Selection (1997) Comput. Methods Appl. Mech. Engr, 140 (2), pp. 157-181