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An embedded boundary approach for resolving the contribution of cable subsystems to fully coupled fluid‐structure interaction
Author(s) -
Huang Daniel Z.,
Avery Philip,
Farhat Charbel
Publication year - 2020
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.6322
Subject(s) - fluid–structure interaction , finite element method , representation (politics) , kinematics , boundary (topology) , nonlinear system , computer science , supersonic speed , boundary value problem , turbulence , engineering , topology (electrical circuits) , mechanical engineering , structural engineering , aerospace engineering , mechanics , physics , classical mechanics , mathematics , mathematical analysis , electrical engineering , quantum mechanics , politics , political science , law
SUMMARY Cable subsystems characterized by long, slender, and flexible structural elements are featured in numerous engineering systems. In each of them, interaction between an individual cable and the surrounding fluid is inevitable. Such a fluid‐structure interaction has received little attention in the literature, possibly due to the inherent complexity associated with fluid and structural semidiscretizations of disparate spatial dimensions. This article proposes an embedded boundary approach for filling this gap, where the dynamics of the cable are captured by a standard finite element representation of its centerline, while its geometry is represented by a discrete surface ∑ h that is embedded in the fluid mesh. The proposed approach is built on master‐slave kinematics between and ∑ h , a simple algorithm for computing the motion/deformation of ∑ h based on the dynamic state of , and an energy‐conserving method for transferring to the loads computed on ∑ h . Its effectiveness is demonstrated for two highly nonlinear applications featuring large deformations and/or motions of a cable subsystem and turbulent flows: an aerial refueling model problem, and a challenging supersonic parachute inflation problem. The proposed approach is verified using numerical data and validated using real flight data.