L. Gaston et al., An arbitrary Lagrangian-Eulerian finite element approach to non-steady state turbulent fluid flow with application to mould filling in casting, INT J NUM F, 34(4), 2000, pp. 341-369
Citations number
46
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
This paper presents a two-dimensional Lagrangian-Eulerian finite element ap
proach of non-steady state turbulent fluid flows with free surfaces. The pr
oposed model is based on a velocity-pressure finite element Navier-Stokes s
olver, including an augmented Lagrangian technique and an iterative resolut
ion of Uzawa type. Turbulent effects are taken into account with the k-epsi
lon two-equation statistical model. Mesh updating is carried out through an
arbitrary Lagrangian-Eulerian (ALE) method in order to describe properly t
he free surface evolution. Three comparisons between experimental and numer
ical results illustrate the efficiency of the method. The first one is turb
ulent flow in an academic geometry, the second one is a mould filling in ef
fective casting conditions and the third one is a precise confrontation to
a water model. Copyright (C) 2000 John Wiley & Sons, Ltd.