A reformulation of the shallow water equations enables staggered DG fluxes whose non-conservative terms vanish at equilibrium, allowing node-wise subcell limiting that remains exactly well-balanced.
Rueda-Ramírez et al.:Preprint submitted to ElsevierPage 19 of 25 Well-Balanced Subcell Limiting for DG Discretization of the SWE
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Well-Balanced Subcell Limiting for Discontinuous Galerkin Discretizations of the Shallow-Water Equations
A reformulation of the shallow water equations enables staggered DG fluxes whose non-conservative terms vanish at equilibrium, allowing node-wise subcell limiting that remains exactly well-balanced.