000190465 001__ 190465
000190465 005__ 20190316235742.0
000190465 0247_ $$2doi$$a10.1051/mmnp/20116303
000190465 022__ $$a0973-5348
000190465 02470 $$2ISI$$a000292652400004
000190465 037__ $$aARTICLE
000190465 245__ $$aViscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method
000190465 269__ $$a2011
000190465 260__ $$bEDP SCIENCES S A$$c2011
000190465 336__ $$aJournal Articles
000190465 520__ $$aWe 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.
000190465 6531_ $$ashock detection
000190465 6531_ $$aEuler's equations
000190465 6531_ $$adiscontinuous Galerkin
000190465 6531_ $$aexplicit 	time integration
000190465 6531_ $$ashock capturing
000190465 6531_ $$aartificial viscosity
000190465 700__ $$aKloeckner, A.
000190465 700__ $$aWarburton, T.
000190465 700__ $$g232231$$aHesthaven, Jan S.$$0247428
000190465 773__ $$j6$$tMathematical Modelling of Natural Phenomena$$k3$$q57-83
000190465 8564_ $$uhttps://infoscience.epfl.ch/record/190465/files/Math.%20Model.%20Nat.%20Phenom.%202011%20Kl%C3%B6ckner.pdf$$zPublisher's version$$s2335876$$yPublisher's version
000190465 909C0 $$xU12703$$0252492$$pMCSS
000190465 909CO $$qGLOBAL_SET$$pSB$$ooai:infoscience.tind.io:190465$$particle
000190465 917Z8 $$x102085
000190465 937__ $$aEPFL-ARTICLE-190465
000190465 970__ $$aKloeckner2011/MCSS
000190465 973__ $$rREVIEWED$$sPUBLISHED$$aOTHER
000190465 980__ $$aARTICLE