DOI: 10.5176/2251-3388_2.2.48
Authors: Jianying Zhang
Abstract:
We simulate the flow of a yield stress fluid around a gas bubble using an augmented Lagrange approach with piecewise linear equal-order finite elements for both the velocity and the pressure approximations. An enhanced mesh adaptive strategy based on this element-pair choice is also proposed to render the yield surfaces of desired resolution. The corresponding numerical scheme is formulated for general Herschel-Bulkley fluids. Numerical results on Bingham fluid flows around a slowly rising spherical gas bubble are provided to showcase the improvement on the previously proposed algorithm in.
Keywords: Viscoplastic fluids, Yield surfaces, Bingham fluid flows, Augmented Lagrange method
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