Kloeckner, A.Warburton, T.Hesthaven, Jan S.2013-11-122013-11-122013-11-12201110.1051/mmnp/20116303https://infoscience.epfl.ch/handle/20.500.14299/96938WOS:000292652400004We present a novel, cell-local shock detector for use with discontinuous Galerkin (DG) methods. The output of this detector is a reliably scaled, element-wise smoothness estimate which is suited as a control input to a shock capture mechanism. Using an artificial viscosity in the latter role, we obtain a DG scheme for the numerical solution of nonlinear systems of conservation laws. Building on work by Persson and Peraire, we thoroughly justify the detector's design and analyze its performance on a number of benchmark problems. We further explain the scaling and smoothing steps necessary to turn the output of the detector into a local, artificial viscosity. We close by providing an extensive array of numerical tests of the detector in use.shock detectionEuler's equationsdiscontinuous Galerkinexplicit time integrationshock capturingartificial viscositytext::journal::journal article::research article