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Preconditioning in the path-following algorithm for the stokes flow with stick-slip conditions

Jarošová M., Kucera R., Šátek V.

Systemy Wspomagania w Inżynierii Produkcji

2017

Vol. 6, iss. 4

274--285

The Stokes problem with the stick-slip boundary condition is solved by the mixed finite element method combined with the TFETI method. An interior point method for the minimization subject to box and equality constraints is used. The preconditioned projected conjugate gradient method solves the inner linear systems. The preconditioners are tested experimentally. The aim of our research is to develop efficient solvers for modelling of a flow over hydrophobic walls that exhibits applications in engineering areas including biomedical modelling or transport of fluid.

Stokesova úloha se skluzovou podmínkou je rešena smíšenou metodou konecných prvku kombinovanou s TFETI metodou. Výpocet rešení se provádí metodou vnitrních bodu urcenou k minimalizaci s oboustraným omezením a rovnostní vazbou. Predpodmínená projektovaná metoda sdružených gradientu se používá pro rešení vnitrních lineárních soustav. Úcinost predpodminovacu se testuje experimentálne. Cílem výzkumu je vyvinout efektivní rešice pro modelování proudení po hydrofobních stenách, což nachází uplatnení v inženýrských oblastech zahrnujících modelování v biomedicíne nebo pri prenosu tekutin.

Effects of magnetic field on stokes flow due to an oscillating wall under the fluid slip condition

Poria S.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 3

847-853

In this paper we have studied the motion of an incompressible viscous conducting fluid about an harmonically oscillating vertical wall under fluid slip boundary condition at the wall and subjected to a uniform weak transverse magnetic filed. Effects of variations of the magnetic field and the slip parameter on the evolution of the velocity filed and shear stress are determined and discussed.

Extrud: a coupled heat and flow solver for 3D simulation of aluminium extrusion

Kvamsdal T., Okstad K. M., Abtahi S.

International Journal of Applied Mechanics and Engineering

2002

Vol. 7, no 1

293-310

In this paper, we investigate the simulation of aluminum extrusion processes by means of a newly developed coupled heat- and flow solver. The extrusion problem is here formulated as two sub-problems which are solved separately in a staggered solution strategy: 1) A non-Newtonian Navier-Stokes flow problem where the viscosity depends both on the effective strain rate and the temperature, and 2) a linear heat conduction problem. The extrusion solver is implemented in C++ based on the Difipack software package (see http: //www.nobjects.com/Diffpack). The results of the numerical simulations are verified against physical experiments conducted by the extrusion laboratory at SINTEF in Trondheim.