We study conservation properties of Galerkin methods for the incompressible Navier–Stokes
equations, without the divergence constraint strongly enforced. In typical discretizations such …

In this paper, we consider the recently introduced EMAC formulation for the incompressible
Navier–Stokes (NS) equations, which is the only known NS formulation that conserves …

In this paper, we investigate theoretically and computationally the conservation properties of
reduced order models (ROMs) for fluid flows. Specifically, we investigate whether the ROMs …

It has been found advantageous for finite-volume discretizations of flow equations to
possess additional (secondary) invariants, besides the (primary) invariants from the …

We consider local balances of momentum and angular momentum for the incompressible
Navier–Stokes equations. First, we formulate new weak forms of the physical balances …

The nonlinear incompressible Navier–Stokes equations with different types of boundary
conditions at far fields and solid walls is considered. Two different formulations of boundary …

We discuss conservative and stable numerical approximations in summation-by-parts form
for linear hyperbolic problems with variable coefficients. An extended setting, where the …

In this work, motivated by the scalar auxiliary variable (SAV) method, we construct the first-
order implicit–explicit type scheme for the EMAC formulation of the time-dependent Navier …

We introduce a new regularization model for incompressible fluid flow, which is a
regularization of the EMAC (energy, momentum, and angular momentum conserving) …

In this work, based on the results of predictive calculations, the accuracy of reproducing the
Black Sea circulation is analyzed using new approximations of nonlinear terms in the …