Towards robust and efficient solvers for fluid-structure interaction problems involving thin flexible structures

Kadapa, Chennakesava

Abstract

This work proposes a new single-step implicit-explicit scheme for computationally efficient numerical solutions of fluid-structure interaction problems involving laminar incompressible fluids and thin, flexible structures. The base solver for incompressible Navier-Stokes adapted in this work utilises the recently proposed inf-sup stable combinations of B´ezier elements [4] for the spatial discretisation, thus allowing diagonal mass matrices for efficient computation of Schur complement [5]. Since the diffusion term is treated explicitly, the iteration-free nature of the fluid solver is applicable for both Newtonian and nonNewtonian models of fluid flow. Several benchmark numerical examples are presented to demonstrate the accuracy and efficiency of the proposed framework.

Citation

Kadapa, C. (2021). Towards robust and efficient solvers for fluid-structure interaction problems involving thin flexible structures. In UK Association for Computational Mechanics (UKACM) 2021 Conference

• Conference Name: UK Association for Computational Mechanics (UKACM) 2021 Conference
• Conference Location: Online
• Start Date: Apr 14, 2021
• End Date: Apr 16, 2021
• Acceptance Date: Feb 1, 2021
• Online Publication Date: May 13, 2021
• Publication Date: May 13, 2021
• Deposit Date: Aug 29, 2022
• Book Title: UK Association for Computational Mechanics (UKACM) 2021 Conference
• Public URL: http://researchrepository.napier.ac.uk/Output/2893927
• Publisher URL: https://repository.lboro.ac.uk/articles/conference_contribution/Towards_robust_and_efficient_solvers_for_fluid-structure_interaction_problems_involving_thin_flexible_structures/14588457
• Related Public URLs: https://www.ukacm2021.ukacm.org/