Some continuous and discontinuous Galerkin methods and structure preservation for incompressible flows

In this paper, we present consistent and inconsistent discontinuous Galerkin methods for incompressible Euler Navier-Stokes equations with the kinematic pressure, Bernoulli function EMAC function. Semi- fully discrete energy stability of proposed dG are proved in a unified fashion. Conservation total energy, linear angular momentum is discussed both central upwind fluxes. Numerical experiments presented to demonstrate our findings compare schemes conventional literature unsteady steady problems. results show that global conservation physical quantities may not be enough performance schemes, competitive able capture essential features several benchmark