An Energy-Stable Discontinuous Galerkin Method for the Compressible Navier–Stokes–Allen–Cahn System
We consider a Navier–Stokes–Allen–Cahn (NSAC) system that governs the compressible motion of a viscous, immiscible two-phase fluid at constant temperature. Weak solutions of the NSAC system dissipate an appropriate energy functional. Based on an equivalent re-formulation of the NSAC system we propose a fully-discrete d...