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Integral method for a two-dimensional Stokes flow with shrinking holes applied to viscous sintering

Published online by Cambridge University Press:  26 April 2006

G. A. L. van de Vorst
G. A. L. van de Vorst
Affiliation:
Department of Mathematics and Computing Science, University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
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Abstract

An integral method is developed to solve the two-dimensional Stokes problem with Neumann boundary conditions for multiply connected domains in which the inside hole area can shrink and disappear. The method is applied to simulate viscous sintering. In particular the sintering of glasses can be modelled as such, i.e. a viscous incompressible Newtonian volume flow driven solely by surface tension. A Boundary Element Method is applied to solve the integral equations of Stokes flow involved, and the time integration is carried out by a variable-step, variable-order Backward Differences Formulae method. The derived numerical algorithm is demonstrated for several arbitrarily shaped multiply connected sintering domains. In particular some cylindrical packings are considered. The latter simulations provide a justification for the use of ‘unit problems’ in the theory of sintering.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 257 , December 1993 , pp. 667 - 689
Copyright
© 1993 Cambridge University Press

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