Concept
Stokes' law
Related publications (240)
An augmented mixed finite element method for the vorticity-velocity-pressure formulation of the Stokes equations
This paper deals with the numerical approximation of the stationary two-dimensional Stokes equations, formulated in terms of vorticity, velocity and pressure, with non-standard boundary conditions. Here, by introducing a Galerkin least-squares term, we end ...
Elsevier2013Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants
Gianluigi Rozza, Andrea Manzoni
In this paper we review and we extend the reduced basis approximation and a posteriori error estimation for steady Stokes flows in affinely parametrized geometries, focusing on the role played by the Brezzi's and Babuska's stability constants. The crucial ...
Springer Verlag2013A reduced-order strategy for solving inverse Bayesian shape identication problems in physiological flows
Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni, Toni Mikael Lassila
A reduced-order strategy based on the reduced basis (RB) method is developed for the efficient numerical solution of statistical inverse problems governed by PDEs in domains of varying shape. Usual discretization techniques are infeasible in this context, ...
Springer2013Vertical excitation of axisymmetric liquid bridges
Massimo Mastrangeli, Pierre Lambert
This study presents an analytical model of the dynamics of an axisymmetric liquid bridge confined between two circular pads and subjected to small vertical periodic perturbations. Such system finds important applications in microassembly and microjoint des ...
Elsevier2013An augmented mixed finite element method for the vorticity–velocity–pressure formulation of the Stokes equations
This paper deals with the numerical approximation of the stationary two-dimensional Stokes equations, formulated in terms of vorticity, velocity and pressure, with non-standard boundary conditions. Here, by introducing a Galerkin least-squares term, we end ...
Elsevier2013Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty
Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni, Toni Mikael Lassila
We review the optimal design of an arterial bypass graft following either a (i) boundary optimal control approach, or a (ii) shape optimization formulation. The main focus is quantifying and treating the uncertainty in the residual flow when the hosting ar ...
EDP Sciences2013Multiphysics simulation of corona discharge induced ionic wind
Ivica Stevanovic, Nicola Parolini, Francesco Agostini
Ionic wind devices or electrostatic fluid accelerators are becoming of increasing interest as tools for thermal management, in particular for semiconductor devices. In this work, we present a numerical model for predicting the performance of such devices; ...
American Institute of Physics2013Multi-level preconditioner for solving the Navier-Stokes equations in hemodynamics applications
We present a multi-level algorithm to approximate the inverse of the fluid block in a Navier-Stokes saddle-point matrix where the coarse level is defined as a restriction of the degrees of freedom to those of lower order finite elements. A one-level scheme ...
2013Measurement of strain-rate components in a glacier with embedded inclinometers: numerical analysis
Marco Picasso, Mariam Jaber, Heinz Blatter
Inclinometry with embedded probes is analyzed with a Stokes model of a solid body floating in a fluid with much smaller viscosity for a two-dimensional flow field. The assumption that such a probe behaves like a Lagrangian unit vector is only justified for ...
International Glaciological Society2013Edge states for the turbulence transition in the asymptotic suction boundary layer
Tobias Schneider, Tobias Klaus Kreilos
We demonstrate the existence of an exact invariant solution to the Navier-Stokes equations for the asymptotic suction boundary layer. The identified periodic orbit with a very long period of several thousand advective time units is found as a local dynamic ...
Cambridge University Press2013