Abstract
In this article we present a numerical method for simulating the sedimentation of balls in a three-dimensional channel filled with an Oldroyd-B fluid. We have combined a distributed Lagrange multiplier/fictitious domain method with a factorization approach from Lozinski and Owens (2003) [22] via an operator splitting technique. The method is validated by comparing obtained results with those reported in literature. Then the study of fluid elasticity on the formation of ball chain (up to six balls) in Oldroyd-B fluids is presented to demonstrate the capability of our methods. For a higher value of elastic number, a longer chain of balls can be formed while settling in an Oldroyd-B fluid as observed experimentally.
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