Wang, Y, Jimack, PK and Walkley, MA orcid.org/0000-0003-2541-4173 (2019) Energy Analysis for the One-Field Fictitious Domain Method for Fluid-Structure Interactions. Applied Numerical Mathematics, 140. pp. 165-182. ISSN 0168-9274
Abstract
In this article, the energy stability of a one-field fictitious domain method is proved and validated by numerical tests in two and three dimensions. The distinguishing feature of this method is that it only solves for one velocity field for the whole fluid-structure domain; the interactions remain decoupled until solving the final linear algebraic equations. To achieve this the finite element procedures are carried out separately on two different meshes for the fluid and solid respectively, and the assembly of the final linear system brings the fluid and solid parts together via an isoparametric interpolation matrix between the two meshes. The weak formulations are introduced in the continuous case and after discretization in time. Then the stability is analyzed through an energy estimate. Finally, numerical examples are presented to validate the energy stability properties.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2019, IMACS. Published by Elsevier B.V. All rights reserved. This is an author produced version of a paper published in Applied Numerical Mathematics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Fluid structure; Finite element; Fictitious domain; Energy stable; 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: | 22 Mar 2019 12:26 |
Last Modified: | 22 Feb 2020 01:38 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.apnum.2019.02.003 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:129305 |