3 papers
math.NA2026
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…
math.NA2026
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…
math.NA2024
A Unified-Field Monolithic Fictitious Domain-Finite Element Method for Fluid-Structure-Contact Interactions and Applications to Deterministic Lateral Displacement Problems
Cheng Wang, Pengtao Sun, Yumiao Zhang +3
Based upon two overlapped, body-unfitted meshes, a type of unified-field monolithic fictitious domain-finite element method (UFMFD-FEM) is developed in this paper for moving interf…