3 papers
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…
physics.flu-dyn2026
Entropy-stable discretizations for the compressible Euler equations using simple adaptive averages
Carlo De Michele, Ayaboe K. Edoh
Entropy stabilization of the compressible Euler system is achieved by adapting the averages that are applied to the density and internal energy variables. The approach achieves non…
physics.flu-dyn2024
Finite-difference compatible entropy-conserving schemes for the compressible Euler equations
Carlo De Michele, Ayaboe K. Edoh, Gennaro Coppola
This paper introduces a family of entropy-conserving finite-difference discretizations for the compressible flow equations. In addition to conserving the primary quantities of mass…