An augmented Lagrangian approach to simulating yield stress fluid flows around a spherical gas bubble
An augmented Lagrangian approach to simulating yield stress fluid flows around a spherical gas bubble
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模拟球形气泡周围屈服应力流体流动的增强拉格朗日方法
DOI：
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发表时间：
2012
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通讯作者：
Jianying Zhang
中科院分区：
文献类型：
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作者：
Jianying Zhang
我们用增广拉格朗日方法模拟了屈服应力流体绕气泡的流动。采用了Latché和Vola在2004年提出并分析的速度和压力近似的分段线性等阶有限元。文中还提出了一种基于这种单元对选择的网格自适应策略来绘制所需分辨率的屈服面。针对一般的Herschel-Bulkley流体，建立了相应的数值格式。给出了Bingham流体绕缓慢上升的球形气泡流动的数值结果，验证了所提算法的有效性。版权所有©2011 John Wiley&Sons，Ltd.
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.