Stabilization of low-order mixed finite elements for the Stokes equations
We present a new family of stabilized methods for the Stokes problem. The focus of the
paper is on the lowest order velocity-pressure pairs. While not LBB compliant, their simplicity …
paper is on the lowest order velocity-pressure pairs. While not LBB compliant, their simplicity …
Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows
C Förster, WA Wall, E Ramm - Computer methods in applied mechanics …, 2007 - Elsevier
Within this paper the so-called artificial added mass effect is investigated which is
responsible for devastating instabilities within sequentially staggered Fluid–structure …
responsible for devastating instabilities within sequentially staggered Fluid–structure …
A stabilized finite element method for the Stokes problem based on polynomial pressure projections
A new stabilized finite element method for the Stokes problem is presented. The method is
obtained by modification of the mixed variational equation by using local L2 polynomial …
obtained by modification of the mixed variational equation by using local L2 polynomial …
[PDF][PDF] Computation of unsteady incompressible flows with the stabilized finite element methods: Space-time formulations, iterative strategies and massively parallel …
We discuss the stabilized finite element computation of unsteady incompressible flows, with
emphasis on the space-time formulations, iterative solution techniques and implementations …
emphasis on the space-time formulations, iterative solution techniques and implementations …
Finite element methods of least-squares type
PB Bochev, MD Gunzburger - SIAM review, 1998 - SIAM
We consider the application of least-squares variational principles to the numerical solution
of partial differential equations. Our main focus is on the development of least-squares finite …
of partial differential equations. Our main focus is on the development of least-squares finite …
Stabilized finite element method for incompressible flows with high Reynolds number
In the following paper, we discuss the exhaustive use and implementation of stabilization
finite element methods for the resolution of the 3D time-dependent incompressible Navier …
finite element methods for the resolution of the 3D time-dependent incompressible Navier …
Stabilised variational multi-scale finite element formulations for viscoelastic fluids
The objective of this article is to summarise the work that we have been doing as a group in
the context of stabilised finite element formulations for viscoelastic fluid flows. Viscoelastic …
the context of stabilised finite element formulations for viscoelastic fluid flows. Viscoelastic …
Incompressible flow past a circular cylinder: dependence of the computed flow field on the location of the lateral boundaries
The influence of the location of the lateral boundaries on 2D computation of unsteady
incompressible flow past a circular cylinder is investigated. The case of Reynolds number …
incompressible flow past a circular cylinder is investigated. The case of Reynolds number …
Finite element solution strategies for large-scale flow simulations
Large-scale flow simulation strategies involving implicit finite element formulations are
described in the context of incompressible flows. The stabilized space-time formulation for …
described in the context of incompressible flows. The stabilized space-time formulation for …
Galerkin/least-square finite-element methods for steady viscoelastic flows
Y Fan, RI Tanner, N Phan-Thien - Journal of Non-Newtonian Fluid …, 1999 - Elsevier
The elastic viscous split stress formulation (EVSS) and the discrete EVSS formulation
(DEVSS) are effective in stabilizing numerical simulations of viscoelastic flows and have …
(DEVSS) are effective in stabilizing numerical simulations of viscoelastic flows and have …