Numerical stabilization is often used to eliminate (alleviate) the spurious oscillations
generally produced by full order models (FOMs) in under‐resolved or marginally‐resolved …

This paper presents two modular grad–div algorithms for calculating solutions to the Navier–
Stokes equations (NSE). These algorithms add to an NSE code a minimally intrusive module …

In this paper, we study an efficient and modular grad-div stabilization algorithm for the 2D/3D
nonstationary incompressible magnetohydrodynamic equations. The considered algorithm …

This paper proposes, analyzes and tests a second-order time-accurate partitioned method
for the coupling dual-porosity-Stokes equations. The algorithm combines a backward …

This article presents and studies a two-level grad-div stabilized finite element discretization
method for solving numerically the steady incompressible Navier–Stokes equations. The …

We consider the incompressible 3D Navier–Stokes equations subject to a shear induced by
noisy movement of part of the boundary. The effect of the noise is quantified by upper …

The evolve-filter (EF) model is a filter-based numerical stabilization for under-resolved
convection-dominated flows. EF is a simple, modular, and effective strategy for both full …

The rate of energy dissipation of the time relaxation model in body-force-driven turbulence is
analyzed to evaluate the effect of a time relaxation term on a simulation of 3 d fluid motion …

We consider three-dimensional stochastically forced Navier-Stokes equations subjected to
white-in-time (colored-in-space) forcing in the absence of boundaries. Upper and lower …

Turbulence models, such as the Smagorinsky model herein, are used to represent the
energy lost from resolved to under-resolved scales due to the energy cascade (ie non …