GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Viscous flow with large free surface motion
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method
Journal of Computational Physics
A DLM/FD method for fluid/flexible-body interactions
Journal of Computational Physics
A Lagrangian-Eulerian shell-fluid coupling algorithm based on level sets
Computers and Structures
Multiscale space---time fluid---structure interaction techniques
Computational Mechanics
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This paper presents a non-interface-fitted mesh method for fluid---thin structure interactions. The key components are the Lagrangian Lagrange-multiplier (LLM) method and the extended finite element method (X-FEM). The LLM couples fluid and thin structure through the Lagrangian nodes of the structure element. The X-FEM gives flow discontinuity to the fluid elements intersected by the structure element. The combination method is verified through applications to flow with a domain-partitioning boundary and flow-induced flapping of a flexible filament. We discuss how the discontinuities at the interface enhance the simulation results, how the lack of the discontinuities affects the results, and identify some effects of these discontinuity enrichments.