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Flow‐induced vibrations of non‐linear cables. Part 1: Models and algorithms
Author(s) -
Evangelinos C.,
Lucor D.,
Su C.H.,
Karniadakis G. E.
Publication year - 2002
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.516
Subject(s) - discretization , benchmark (surveying) , flow (mathematics) , context (archaeology) , algorithm , scale (ratio) , work (physics) , computer science , mathematics , lagrangian , mathematical optimization , mathematical analysis , engineering , geometry , physics , mechanical engineering , geology , paleontology , geodesy , quantum mechanics
In this paper, we develop governing equations for non‐linear cables as well as a formulation for the coupled flow‐structure problem. The structure is discretized with second‐order accuracy while the flow is discretized using spectral/hp elements in the context of the arbitrary Lagrangian–Eulerian formulation (ALE). Several benchmark problems are considered and the computational implementation is detailed. In the second part of this work large‐scale simulation examples are presented. Copyright © 2002 John Wiley & Sons, Ltd.