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math.NA2026
Nodal discontinuous Galerkin methods for non-ideal equations of state: pressure equilibrium preservation and entropy correction
Jesse CHan, Hendrik Ranocha, Raymond Park +3
Structure-preserving discontinuous Galerkin (DG) methods typically improve the robustness of high order simulations of real fluids. In addition to conservation, key structures incl…
math.NA2026
Entropy correction artificial viscosity for high order DG methods using multiple artificial viscosities
Raymond Park, Jesse Chan
Entropy stable discontinuous Galerkin (DG) methods display improved robustness for problems with shocks, turbulence, and under-resolved features by enforcing an entropy inequality.…
math.NA2026
On the choice of viscous discontinuous Galerkin discretization for entropy correction artificial viscosity methods
Samuel Q. Van Fleet, Jesse Chan
Entropy correction artificial viscosity (ECAV) is an approach for enforcing a semi-discrete entropy inequality through an entropy dissipative correction term. The resulting method…