An arbitrary lagrangian-eulerian finite element approach to non-steady state fluid flows. Application to mould filling

Conference · Sat Dec 30 23:00:00 EST 1995

OSTI ID:227741

Gaston, L; Glut, B; Bellet, M; Chenot, J L ^[1]

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1. Ecole des Mines de Paris, Sophia Antipolis (France). Centre de Mise en Forme des Materiaux

This paper presents a two-dimensional lagrangian-eulerian finite element approach of non-steady state Navier-Stokes fluid flows with free surfaces, like those occurring during the mould filling stage in casting processes. The proposed model is based on a mixed velocity-pressure finite element formulation, including an augmented Lagrangian technique and an iterative solver of Uzawa type. Mesh updating is carried out through an arbitrary lagrangian-eulerian method in order to describe properly the free surface evolution. Heat transfer through the fluid flow is solved by a convection-diffusion splitting technique. The efficiency of the method is illustrated on an example of gravity casting.

• OSTI ID: 227741
• Report Number(s): CONF-9509118--; ISBN 0-87339-297-3
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
99 GENERAL AND MISCELLANEOUS
ALLOYS
BOUNDARY CONDITIONS
CASTING
CONVECTION
DIFFUSION
FINITE ELEMENT METHOD
FLOW RATE
FLUID FLOW
HEAT TRANSFER
LIQUID METALS
MASS TRANSFER
MATHEMATICAL MODELS
NAVIER-STOKES EQUATIONS
SIMULATION
TWO-DIMENSIONAL CALCULATIONS