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

Kadapa, Chennakesava

Abstract

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.

Citation

Kadapa, C. (2020). A second-order accurate non-intrusive staggered scheme for the interaction of ultra-lightweight rigid bodies with fluid flow. Ocean Engineering, 217, Article 107940. https://doi.org/10.1016/j.oceaneng.2020.107940

• 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
• DOI: https://doi.org/10.1016/j.oceaneng.2020.107940
• Keywords: Fluid–structure interaction, Partitioned approach, Staggered scheme, Added-mass, Lightweight structures
• Public URL: http://researchrepository.napier.ac.uk/Output/2893839