  This paper considers the backward Euler based linear time filtering method
for the EMAC formulation of the incompressible Navier-Stokes equations. The
time filtering is added as a modular step to the standard backward Euler code
leading to a 2-step, unconditionally stable, second order linear method.
Despite its success in conserving important physical quantities when the
divergence constraint is only weakly enforced, the EMAC formulation is unable
to improve solutions of backward Euler discretized NSE. The combination of the
time filtering with the backward Euler discretized EMAC formulation of NSE
greatly increases numerical accuracy of solutions and still conserves energy,
momentum and angular momentum as EMAC does. Several numerical experiments are
provided that both verify the theoretical fidings and demonstrate superiority
of the proposed method over the unfiltered case.
