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

Kadapa, Chennakesava

Authors



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

Presentation Conference Type Conference Paper (Published)
Conference Name UK Association for Computational Mechanics (UKACM) 2021 Conference
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/