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Uniform Inf-Sup Norm Equivalence and Robust Operator Preconditioning for Stokes Flow in tight domains with Periodic Pillars
Qi Xin, Yan Xie, Chen-song Zhang +2
Many microfluidic and porous-media computations reduce to the same core task: solving a Stokes saddle-point system on a domain perforated by a dense periodic array of pillars, as i…
Sharp inf-sup estimate for the Stokes equation in tight domains with periodic pillars and some numerical implications
Qi Xin, Shihua Gong, Jinchao Xu
The predictive simulation of fluid dynamics in densely packed microfluidic devices, such as Deterministic Lateral Displacement (DLD) arrays, stagnates with standard iterative solve…
High-order DLM-ALE discretizations with robust operator preconditioning for fluid-rigid-body interaction
Qi Xin, Shihua Gong, Lingyue Shen +5
Motivated by the design of deterministic lateral displacement (DLD) microfluidic devices, we develop a high-order numerical framework for fluid-rigid-body interaction on fitted mov…
A quasi-monolithic localized high-order ALE finite element method for multi-scale fluid-structure interaction problems
Lingyue Shen, Qi Xin, Yan Chen +4
This paper presents a quasi-monolithic localized high-order arbitrary Lagrangian-Eulerian (qMLH-ALE) finite element method for multi-scale fluid-structure interaction (FSI) in micr…