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- W3182037820 startingPage "6037" @default.
- W3182037820 abstract "Abstract In this work, we present a new monolithic finite element strategy for solving fluid–structure interaction problems involving a compressible fluid and a hyperelastic structure. In the Lagrangian limit, the time‐stepping strategy that we propose conserves the total energy, and linear and angular momenta. Detailed proofs with numerical validations are provided. We use a displacement‐based Lagrangian formulation for the structure, and a velocity‐based arbitrary Lagrangian–Eulerian mixed formulation with appropriately chosen interpolations for the various field variables to ensure stability of the resulting numerical procedure. A hybrid formulation is used to prevent locking of thin structures. Apart from physical variables such as displacement, velocity, and so forth, no new variables are introduced in the formulation. The use of the exact tangent stiffness matrix ensures that the algorithm converges quadratically within each time step. A number of benchmark examples have been solved to illustrate the good performance of the proposed method." @default.
- W3182037820 created "2021-07-19" @default.
- W3182037820 creator A5034165627 @default.
- W3182037820 creator A5038097404 @default.
- W3182037820 date "2021-08-30" @default.
- W3182037820 modified "2023-09-27" @default.
- W3182037820 title "A monolithic arbitrary Lagrangian–Eulerian‐based finite element strategy for fluid–structure interaction problems involving a compressible fluid" @default.
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- W3182037820 doi "https://doi.org/10.1002/nme.6783" @default.
- W3182037820 hasPublicationYear "2021" @default.
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