A modified pressure-based DG method with correction terms preserves velocity and pressure equilibria and semidiscrete total energy for thermally perfect multicomponent flows.
Karni, Viscous shock profiles and primitive formulations, SIAM journal on numerical analysis 29 (6) (1992) 1592–1609
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Conservative, pressure-equilibrium-preserving discontinuous Galerkin method for compressible, multicomponent flows
A modified pressure-based DG method with correction terms preserves velocity and pressure equilibria and semidiscrete total energy for thermally perfect multicomponent flows.