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An augmented Lagrangian approach to simulating yield stress fluid flows around a spherical gas bubble
Authors:Jianying Zhang
Institution:Department of Mathematics, Western Washington University, , Bellingham WA 98225, USA
Abstract:We simulated the flow of a yield stress fluid around a gas bubble using an augmented Lagrange approach. The piecewise linear equal‐order finite elements for both the velocity and the pressure approximations proposed and analyzed by Latché and Vola in 2004 were applied. A mesh adaptive strategy based on this element‐pair choice was also proposed to render the yield surfaces of desired resolution. The corresponding numerical scheme was formulated for general Herschel–Bulkley fluids. Numerical results on Bingham fluid flows around a slowly rising spherical gas bubble were provided to validate the proposed algorithm. Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:viscoplastic fluids  yield surfaces  Bingham fluid flows  augmented Lagrange method  gas bubble dynamics  mesh adaptivity  finite element method
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