An Edge-Based Smoothed Finite-Element Method for Vortex-Induced Vibration in Generalized Newtonian Fluids
Publication: Journal of Engineering Mechanics
Volume 148, Issue 11
Abstract
Application of an edge-based smoothed finite-element method (ESFEM) to vortex-induced vibration (VIV) of a circular cylinder in generalized Newtonian fluids is presented. The incompressible Navier–Stokes equations incorporating power-law and Carreau–Yasuda viscosity models are solved by the characteristic-based split scheme under the arbitrary Lagrangian–Eulerian description. The equation of motion of an elastically supported circular cylinder subjected to the generalized Newtonian fluid flows is advanced via the generalize- method. The spatial discretization is based on a three-node triangular element that is particularly suitable for the ESFEM. New integration points are subsequently proposed in local smoothing domains to facilitate the weak-form approximation. The fluidic excitation acting on the submerged cylinder is also derived from the edge-based notion. Grid nodes are instantaneously rearranged by a cost-effective moving submesh approach. Especially, a mass source term is structured in the current context to satisfy geometric conservation law for the ESFEM. The tightly coupled mechanical system is settled through fixed-point iterative procedure. The present method is validated against available data for two non-Newtonian VIV examples.
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Data Availability Statement
All data and models generated or used during the study are available from the corresponding author by request.
Acknowledgments
Support from Natural Science Foundation of Shanghai (Grant No. 19ZR1437200) is gratefully acknowledged.
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Journal of Engineering Mechanics
Volume 148 • Issue 11 • November 2022
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© 2022 American Society of Civil Engineers.
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Received: May 31, 2022
Accepted: Jul 20, 2022
Published online: Sep 14, 2022
Published in print: Nov 1, 2022
Discussion open until: Feb 14, 2023
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