A subcell-refined entropy-residual-driven limiting strategy for high-order discontinuous Galerkin methods

This paper presents a subcell-refined entropy-residual-driven limiting strategy specifically designed for high-order discontinuous Galerkin (DG) discretizations on Legendre-Gauss-Lobatto nodes. The approach introduces dissipation only between nearest-neighbor pairs within each element, formulated in closed form. This method addresses the critical challenge of maintaining robustness in DG simulations of nonlinear hyperbolic systems operating in under-resolved regimes while preserving high-order accuracy. The technique targets computational fluid dynamics applications involving shock capturing and discontinuous solutions.