Wang, Y, Jimack, PK and Walkley, MA orcid.org/0000-0003-2541-4173 (2019) A theoretical and numerical investigation of a family of immersed finite element methods. Journal of Fluids and Structures, 91. ARTN: 102754. ISSN 0889-9746
Abstract
In this article we consider the widely used immersed finite element method (IFEM), in both explicit and implicit form, and its relationship to our more recent one-field fictitious domain method (FDM). We review and extend the formulation of these methods, based upon an operator splitting scheme, in order to demonstrate that both the explicit IFEM and the one-field FDM can be regarded as particular linearizations of the fully implicit IFEM. However, the one-field FDM can be shown to be more robust than the explicit IFEM and can simulate a wider range of solid parameters with a relatively large time step. In addition, it can produce results almost identical to the implicit IFEM but without iteration inside each time step. We study the effect on these methods of variations in viscosity and density of fluid and solid materials. The advantages of the one-field FDM within the IFEM framework are illustrated through a selection of parameter sets for two benchmark cases.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 Elsevier Ltd. This is an author produced version of a paper published in the Journal of Fluids and Structures. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Fluid structure; Finite element; Fictitious domain; Immersed finite element; One field; Monolithic scheme; Eulerian formulation |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 02 Oct 2019 11:20 |
Last Modified: | 05 Oct 2020 00:41 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jfluidstructs.2019.102754 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:151613 |