A smoothness/shock indicator for the RKDG methods

A smoothness/shock indicator is proposed for the RKDG methods solving nonlinear conservation laws. A few numerical experiments are presented as evidence that the indicator helps in detecting shocks, high order discontinuities, regions of smooth solutions, and numerical "instability". keywords. Conservation law, discontinuous Galerkin method, smoothness indicator. AMS subject class. Primary: 65M15 Secondary: 65L20

• Type: Journal
• Year: 2010
• Where: APPML
• Authors: David Rumsey, Tong Sun
• Keywords: APPML 2010, Conservation Law, Discontinuous Galerkin Method, Nonlinear Conservation Laws