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Finite Element Simulation Of Free Surface Flows Using Arbitrary Lagrangian-Eulerian Method


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A. Soulaimani


Finite element simulation of free surface flows using arbitrary Lagrangian-Eulerian method A. Soulai'mani X Departement de Genie Mecanique, Ecole de Technologic Superieure 4^50 Avenue Henri-Julien, Montreal, Canada ABSTRACT In this paper the concept of Arbitrary Lagrangian-Eulerian kinematic description is reviewed and applied to free surface flows. The use of appropriate equilibrium equations is discussed. The corresponding vari- ation al formulations are then established. Since the variational problems are nonlinear with respect to the moving coordinates, second order ap- proximate variational problems are derived after a linearization of the referential motion. Numerical results of of a large sloshing problem are presented at the conference. 1. INTRODUCTION Free and moving boundary problems are very common not only in nature but also in industrial processes. The difficulties inherent to these prob- lems are very challenging. From the c