WIT Press


A Boundary Integral Formulation For Elastic Particles In Stokes Flows

Price

Free (open access)

Paper DOI

10.2495/BE950691

Volume

10

Pages

8

Published

1995

Size

791 kb

Author(s)

N. Phan-Thien & X.-J. Fan

Abstract

This paper reports a formulation and implementation of a mixed boundary element method for solving Stokes flow problems involving elastic particles. The method consists of solving an exterior traction problem for the sur- rounding fluid, followed by an interior displacement, and a mobility problem (if required) for the elastic particles. A completion plus deflation procedure is employed in the three problems, allowing iterative solution strategies to be adopted. Several benchmark problems are considered to illustrate the method. 1 Introduction The best numerical method for solving exterior Stokes flow problems is un- doubtedly the boundary element method, in which the governing equations are first converted into a set of integral equations on the surface of the domain, a

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