Various realizations of variational multiscale (VMS) methods for simulating turbulent
incompressible flows have been proposed in the past fifteen years. All of these realizations …

Incompressible flow problems appear in many models of physical processes and
applications. Their numerical simulation requires in particular a spatial discretization. Finite …

This article describes the Variational Multiscale Method (VMS) applied to flow problems. The
main idea of the formulation in the case of stationary linear problems is explained with some …

In this paper the grad–div stabilization for the incompressible Navier–Stokes finite element
approximations is considered from two different viewpoints:(i) as a variational multiscale …

In this work we study the performance of some variational multiscale models (VMS) in the
large eddy simulation (LES) of turbulent flows. We consider VMS models obtained by …

This article is a review of our work towards a parameter-free method for simulation of
turbulent flow at high Reynolds numbers. In a series of papers we have developed a model …

In this paper, we propose and analyze the stability and the dissipative structure of a new
dynamic term-by-term stabilized finite element formulation for the Navier–Stokes problem …

The rise of bubbles in viscous liquids is not only a widespread process in many industrial
applications but also an essential fundamental problem in fluid physics. The modeling and …

In this work, we present a stabilized formulation to solve the inductionless
magnetohydrodynamic (MHD) problem using the finite element (FE) method. The MHD …

The three-field (stress–velocity–pressure) mixed formulation of the incompressible Navier–
Stokes problem can lead to two different types of numerical instabilities. The first is …