The kinetic energy of a flow is proportional to the square of the L 2 (Ω) norm of the velocity.
Given a sufficient regular velocity field and a velocity finite element space with polynomials …

Proper EMA-balance (balance of kinetic energy, linear momentum and angular momentum),
pressure-robustness and Re-semi-robustness (Re: Reynolds number) are three important …

This paper considers the discretization of the time-dependent Navier–Stokes equations with
the family of inf-sup stabilized Scott–Vogelius pairs recently introduced in …

An alternative approach to simulate dynamic, recurrent flows with very large time steps is
presented. Data-driven forecasts based on the method of analogs are made employing a set …

For the discretization of the convective term in the Navier–Stokes equations, the commonly
used convective formulation (CONV) does not preserve kinetic energy if the divergence …

This paper considers the discretization of the time-dependent Navier-Stokes equations with
the family of inf-sup stabilized Scott-Vogelius pairs recently introduced in …

In this paper, we develop and analyze two stabilized mixed virtual element schemes for the
Stokes problem based on the lowest-order velocity-pressure pairs (ie, a piecewise constant …

A low-order finite element method is constructed and analysed for an incompressible non-
Newtonian flow problem with power-law rheology. The method is based on a continuous …