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A BEM Solution For The Simulation Of Axisymmetric Viscous Sintering


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G.A.L van de Vorst


A BEM solution for the simulation of axisymmetric viscous sintering G.A.L van de Vorst Department of Mathematics, University of Technology, PO Box 513, 5600 MB Eindhoven The Netherlands ABSTRACT In this paper we describe a numerical method to simulate particular axisym- metric viscous sintering problems. In these problems the material transport is modelled as a viscous incompressible Newtonian volume flow driven solely by surface tension. The numerical simulation is carried out by solving the governing Stokes equations for a fixed domain through a Boundary Element Method (BEM). The resulting velocity field then determines an approximate geometry at a next time level by employing a variable step, variable order Backward Differences Formulae (BDF) method. This numerical algorithm is demonstrated for the sintering of two equal spheres. INTRODUCTION By sintering is meant the process of bringing a granular compact to a tem- perature at which the viscosit