A mixed finite–element finite–difference method for nonlinear fluid–structure interaction dynamics. I. Fluid–rigid structure interaction

Abstract

Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Xing J. T., Price W. G. and Chen Y. G. 2003A mixed finite–element finite–difference method for nonlinear fluid–structure interaction dynamics. I. Fluid–rigid structure interactionProc. R. Soc. Lond. A.4592399–2430http://doi.org/10.1098/rspa.2002.1110SectionRestricted accessA mixed finite–element finite–difference method for nonlinear fluid–structure interaction dynamics. I. Fluid–rigid structure interaction J. T. Xing J. T. Xing Ship Science, School of Engineering Sciences, University of Southampton, Highfield, Southampton SO17 1BJ, UK Google Scholar Find this author on PubMed Search for more papers by this author , W. G. Price W. G. Price Ship Science, School of Engineering Sciences, University of Southampton, Highfield, Southampton SO17 1BJ, UK Google Scholar Find this author on PubMed Search for more papers by this author and Y. G. Chen Y. G. Chen Ship Science, School of Engineering Sciences, University of Southampton, Highfield, Southampton SO17 1BJ, UK Google Scholar Find this author on PubMed Search for more papers by this author J. T. Xing J. T. Xing Ship Science, School of Engineering Sciences, University of Southampton, Highfield, Southampton SO17 1BJ, UK Google Scholar Find this author on PubMed Search for more papers by this author , W. G. Price W. G. Price Ship Science, School of Engineering Sciences, University of Southampton, Highfield, Southampton SO17 1BJ, UK Google Scholar Find this author on PubMed Search for more papers by this author and Y. G. Chen Y. G. Chen Ship Science, School of Engineering Sciences, University of Southampton, Highfield, Southampton SO17 1BJ, UK Google Scholar Find this author on PubMed Search for more papers by this author Published:08 October 2003https://doi.org/10.1098/rspa.2002.1110AbstractA mixed finite–element finite–difference numerical method is developed to calculate nonlinear fluid–solid interaction problems. In this study, the structure is assumed to be rigid with large motion and the fluid flow is governed by nonlinear, viscous or non–viscous, field equations with nonlinear boundary conditions applied to the free surface and fluid–solid interaction interfaces. A moving coordinate system fixed at a point in the structure is used to describe the fluid flow, and for numerical analysis purposes, an arbitrary Lagrangian–Eulerian mesh system is constructed relative to this moving system. This provides a convenient method of overcoming the difficulties of matching fluid meshes with large solid motion. Nonlinear numerical equations describing nonlinear fluid–solid interaction dynamics are derived through a numerical discretization scheme of study. A coupling iteration process is used to solve these numerical equations. A selection of numerical examples illustrates the developed mathematical model and through numerical simulations it is shown that the proposed approach is practical and useful. Previous ArticleNext Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsCited by (2019) Bibliography Fluid-Solid Interaction Dynamics, 10.1016/B978-0-12-819352-5.00029-X, (627-649), . Abou-Dina M and Ghaleb A (2016) Multiple wave scattering by submerged obstacles in an infinite channel of finite depth. I. Streamlines, European Journal of Mechanics - B/Fluids, 10.1016/j.euromechflu.2016.04.005, 59, (37-51), Online publication date: 1-Sep-2016. Wei K and Yuan W (2013) Seismic Analysis of Deep Water Pile Foundation Based on Three-Dimensional Potential-Based Fluid Elements, Journal of Construction Engineering, 10.1155/2013/874180, 2013, (1-10), Online publication date: 11-Apr-2013. Liao K and Hu C (2012) A coupled FDM–FEM method for free surface flow interaction with thin elastic plate, Journal of Marine Science and Technology, 10.1007/s00773-012-0191-0, 18:1, (1-11), Online publication date: 1-Mar-2013. Li Y, Li Z and Wu Q (2017) Experiment and Calculation Method of the Dynamic Response of Deep Water Bridge in Earthquake, Latin American Journal of Solids and Structures, 10.1590/1679-78253872, 14:13, (2518-2533) This Issue08 October 2003Volume 459Issue 2038 Article InformationDOI:https://doi.org/10.1098/rspa.2002.1110Published by:Royal SocietyPrint ISSN:1364-5021Online ISSN:1471-2946History: Published online08/10/2003Published in print08/10/2003 License: Citations and impact KeywordsALE numerical modelnonlinear free surface wavesfluid–rigid structure interactionspartitioned solution procedurenonlinear dynamics