This volume presents a mathematical development of a recent approach to the modeling
and simulation of turbulent flows based on methods for the approximate solution of inverse …

LifeV is a library for the finite element (FE) solution of partial differential equations in one,
two, and three dimensions. It is written in C++ and designed to run on diverse parallel …

It was recently proven in Case et al.(2010)[2] that, under mild restrictions, grad-div stabilized
Taylor–Hood solutions of Navier–Stokes problems converge to the Scott–Vogelius solution …

We study analytically and numerically the relaxation time of flow evolution governed by the
Navier-Stokes-Voigt (NSV) model. We first show that for the Taylor–Green vortex decay …

We study a trapezoidal-in-time, finite-element-in-space discretization of a new Leray
regularization model that locally chooses the filtering radius using a deconvolution based …

We study the adaptive nonlinear filtering in the Leray regularization model for
incompressible, viscous Newtonian flow. The filtering radius is locally adjusted so that …

A high‐order family of time relaxation models based on approximate deconvolution is
considered. A fully discrete scheme using discontinuous finite elements is proposed and …

We study an efficient finite element method for the NS-ω model, that uses van Cittert
approximate deconvolution to improve accuracy and Scott-Vogelius elements to provide …

We present a numerical study of the NS-αβ model, which is a recently proposed multiscale
variation of the NS-α model that attempts to recapture scales lost through over-regularization …

We consider the stability of an efficient Crank–Nicolson–Adams–Bashforth method in time,
finite element in space, discretization of the Leray‐α model. We prove finite‐time stability of …