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The robustness and accuracy of marginally resolved discontinuous Galerkinspectral element computations are evaluated for the standard formulation and akinetic energy conserving split form on complex flow problems of physical andengineering interest, including the flow over a square cylinder, an airfoil anda plane jet. It is shown that the kinetic energy conserving formulation issignificantly more robust than the standard scheme for under-resolvedsimulations. A disadvantage of the split form is the restriction toGauss-Lobatto nodes with the inherent underintegration and lower accuracy ascompared to Gauss quadrature used with the standard scheme. While the resultssupport the higher accuracy of the standard Gauss form, lower numericalrobustness and spurious oscillations are evident in some cases, giving theadvantage to the kinetic energy conserving scheme for marginally resolvednumerical simulations.

Assessing Standard and Kinetic Energy Conserving Discontinuous Galerkin Formulations for Marginally Resolved Navier-Stokes Flows