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A second-order accurate non-intrusive staggered scheme for the interaction of ultra-lightweight rigid bodies with fluid flow

Kadapa, Chennakesava



This paper presents a staggered scheme with second-order temporal accuracy for fluid–structure interaction problems involving ultra-lightweight rigid bodies. The staggered scheme is based on the Dirichlet–Neumann coupling and is non-intrusive. First, the spectral properties of the staggered scheme are studied and also compared against the monolithic scheme using a linear model problem. Later, the suitability and effectiveness of the staggered scheme for problems involving incompressible flows and lightweight rigid solids are illustrated by using the examples of galloping of a square cylinder and lock-in of a circular cylinder for mass-ratio values as low as 0.01. This is the first time in the literature flow-induced vibrations of rigid bodies with such low mass ratio values are successfully simulated using a staggered scheme. Two different fluid solvers are considered to illustrate the non-intrusive nature of the proposed scheme. Guidelines for choosing the relaxation parameter are also provided. With its iteration-free nature and with a single (relaxation) parameter, the proposed staggered scheme renders itself as an accurate and computationally efficient scheme for fluid–rigid body interaction problems, including those involving lightweight structures.

Journal Article Type Article
Acceptance Date Aug 10, 2020
Online Publication Date Sep 14, 2020
Publication Date 2020-12
Deposit Date Aug 29, 2022
Journal Ocean Engineering
Print ISSN 0029-8018
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 217
Article Number 107940
Keywords Fluid–structure interaction, Partitioned approach, Staggered scheme, Added-mass, Lightweight structures
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