Concept
Stokes' law
Related publications (240)
The motion of a deforming capsule through a corner
A three-dimensional deformable capsule convected through a square duct with a corner is studied via numerical simulations. We develop an accelerated boundary integral implementation adapted to general geometries and boundary conditions. A global spectral m ...
Cambridge University Press2015MATHICSE Technical Report : Semi-implicit BDF time discretization of the Navier-Stokes equations with VMS-LES modeling in a High Performance Computing framework
In this paper, we propose a semi–implicit approach for the time discretization of the Navier–Stokes equations with Variational Multiscale–Large Eddy Simulation turbulence modeling (VMS–LES). For the spatial approximation of the problem, we use the Finite E ...
MATHICSE2015A Petrov-Galerkin reduced basis approximation of the Stokes equation in parameterized geometries
We present a Petrov-Galerkin reduced basis (RB) approximation for the parameterized Stokes equation. Our method, which relies on a reduced solution space and a parameter-dependent test space, is shown to be stable (in the sense of Babuska) and algebraicall ...
Elsevier2015Semi-implicit BDF time discretization of the Navier–Stokes equations with VMS-LES modeling in a High Performance Computing framework
In this paper, we propose a semi-implicit approach for the time discretization of the Navier–Stokes equations with Variational Multiscale-Large Eddy Simulation turbulence modeling (VMS-LES). For the spatial approximation of the problem, we use the Finite E ...
Elsevier2015An adaptive finite element heterogeneous multiscale method for Stokes flow in porous media
A finite element heterogeneous multiscale method is proposed for solving the Stokes problem in porous media. The method is based on the coupling of an effective Darcy equation on a macroscopic mesh with unknown permeabilities recovered from micro finite el ...
Siam Publications2015One-dimensional linear advection-diffusion equation: Analytical and finite element solutions
In this paper, a time dependent one-dimensional linear advection-diffusion equation with Dirichlet homogeneous boundary conditions and an initial sine function is solved analytically by separation of variables and numerically by the finite element method. ...
Pergamon-Elsevier Science Ltd2015Modelling blood flows in the heart: extended Nitsche's method for the treatment of the valves as generalized boundary conditions
Alfio Quarteroni, Luca Dede', Anna Tagliabue
We investigate the blood flow inside idealized left ventricles with prescribed wall movement by defining a formulation of boundary conditions for the Navier-Stokes equations accounting for the valves. Specifically, we consider an extended Nitsche’s method ...
CMBE, Zeta Computational Resources Ltd.2015ALE/finite element modeling of an unconfined bubble plume in periodic domain: bubble shape and oscillation analysis
John Richard Thome, Gustavo Rabello Dos Anjos, Gustavo Charles Peixoto de Oliveira
This paper introduces a numerical model developed based upon the arbitrary Lagrangian-Eulerian/finite element scheme to analyze bubble plumes in a periodic domain. A spherical air bubble is immersed into a large pool of quiescent water to act as an unconfi ...
Springer Heidelberg2015Liquid Ropes: A Geometrical Model for Thin Viscous Jet Instabilities
Thin, viscous fluid threads falling onto a moving belt behave in a way reminiscent of a sewing machine, generating a rich variety of periodic stitchlike patterns including meanders, W patterns, alternating loops, and translated coiling. These patterns form ...
American Physical Society2015MATHICSE Technical Report: Fluid dynamics of an idealized left ventricle: the extended Nitsche’s method for the treatment of heart valves as mixed time varying boundary conditions
Alfio Quarteroni, Luca Dede', Anna Tagliabue
In this work, we study the blood flow dynamics in idealized left ventricles (LV)of the human heart modelled by the Navier-Stokes equations with mixed time varying boundary conditions (BCs). The latter are introduced for simulating the functioning of the ao ...
MATHICSE2015