A Simple and Effective High-Order Shock-Capturing Limiter for Discontinuous Galerkin Methods

Understand

The discontinuous Galerkin (DG) finite element method when applied to hyperbolic conservation laws requires the use of shock-capturing limiters in order to suppress unphysical oscillations near large solution gradients.

• In this work we develop a novel shock-capturing limiter that combines key ideas from the limiter of Barth and Jespersen [AIAA-89-0366 (1989)] and the maximum principle preserving (MPP) framework of Zhang and Shu [Proc.
• R.
• Soc.