A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density
A linearized semi-implicit unconditionally stable decoupled fully discrete finite element method is proposed for the incompressible Navier–Stokes equations with variable density. The velocity equation is solved by an H^1-conforming finite element method, and an upwind discontinuous Galerkin finite element method with post-processed velocity is adopted for the density equation. The proposed method is proved to be convergent in approximating reasonably smooth solutions in three-dimensional convex polyhedral domains.
READ FULL TEXT