A cell boundary–element method for viscous laminar flow solutions

Abstract

Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Tan M., Farrant T. and Price W. G. 1999A cell boundary–element method for viscous laminar flow solutionsProc. R. Soc. Lond. A.4554277–4304http://doi.org/10.1098/rspa.1999.0501SectionRestricted accessA cell boundary–element method for viscous laminar flow solutions M. Tan M. Tan School of Engineering Sciences, Ship Science, Highfield, Southampton SO17 1BJ, UK Google Scholar Find this author on PubMed Search for more papers by this author , T. Farrant T. Farrant School of Engineering Sciences, Ship Science, Highfield, Southampton SO17 1BJ, UK Computational Engineering Design Centre, University of Southampton, Highfield, Southampton SO17 1BJ, UK Google Scholar Find this author on PubMed Search for more papers by this author and W. G. Price W. G. Price School of Engineering Sciences, Ship Science, Highfield, Southampton SO17 1BJ, UK Google Scholar Find this author on PubMed Search for more papers by this author M. Tan M. Tan School of Engineering Sciences, Ship Science, Highfield, Southampton SO17 1BJ, UK Google Scholar Find this author on PubMed Search for more papers by this author , T. Farrant T. Farrant School of Engineering Sciences, Ship Science, Highfield, Southampton SO17 1BJ, UK Computational Engineering Design Centre, University of Southampton, Highfield, Southampton SO17 1BJ, UK Google Scholar Find this author on PubMed Search for more papers by this author and W. G. Price W. G. Price School of Engineering Sciences, Ship Science, Highfield, Southampton SO17 1BJ, UK Google Scholar Find this author on PubMed Search for more papers by this author Published:08 December 1999https://doi.org/10.1098/rspa.1999.0501AbstractA cell boundary–element method is developed to solve viscous fluid–structure interaction problems modelled by Navier–Stokes equations. This is achieved through a hybrid approach incorporating boundary–element and finite–element methods. In the proposed scheme, cell equations are generated using the principles of the boundary–element method with global equations derived following the procedures of the finite–element method. A primitive–variable formulation with an unstructured mesh requirement forms the basis of the hybrid approach which can be applied to both two– and three–dimensional problems.The validation of this numerical scheme of study involving analytical and numerical mathematical procedures is carried out using a number of well–documented flow solutions and the accuracy and robustness of the method are demonstrated in these examples. Previous ArticleNext Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsCited by Ravi A, Tan M and Price W (2008) An analysis of a two cylinder-fluid interaction at critical gap spacing by a cell boundary element method, The European Physical Journal Special Topics, 10.1140/epjst/e2008-00858-8, 165:1, (151-160), Online publication date: 1-Dec-2008. Ravi A, Nair P, Tan M and Price W (2002) Optimal Feedforward and Feedback Control of Vortex Shedding Using Trust-Region Algorithms 1st Flow Control Conference, 10.2514/6.2002-3076, 978-1-62410-105-2, Online publication date: 24-Jun-2002. Tan M, Uzunogĝlu B, Price W and Rogers E (2005) Reduced models for statistically stationary and non-stationary flows with control applications, Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 10.1243/147509002320382167, 216:1, (95-102), Online publication date: 1-Jun-2002. Uzuno?lu B, Tan M and Price W (2001) Low-Reynolds-number flow around an oscillating circular cylinder using a cell viscousboundary element method, International Journal for Numerical Methods in Engineering, 10.1002/nme.122, 50:10, (2317-2338), Online publication date: 10-Apr-2001. Farrant T, Tan M and Price W (2001) A cell boundary element method applied to laminar vortex shedding from circular cylinders, Computers & Fluids, 10.1016/S0045-7930(00)00009-8, 30:2, (211-236), Online publication date: 1-Feb-2001. FARRANT T, TAN M and PRICE W (2000) A CELL BOUNDARY ELEMENT METHOD APPLIED TO LAMINAR VORTEX-SHEDDING FROM ARRAYS OF CYLINDERS IN VARIOUS ARRANGEMENTS, Journal of Fluids and Structures, 10.1006/jfls.1999.0275, 14:3, (375-402), Online publication date: 1-Apr-2000. This Issue08 December 1999Volume 455Issue 1992 Article InformationDOI:https://doi.org/10.1098/rspa.1999.0501Published by:Royal SocietyPrint ISSN:1364-5021Online ISSN:1471-2946History: Published online08/12/1999Published in print08/12/1999 License: Citations and impact Keywordsnumerical simulationhybrid approachboundary–element methodunstructured meshcomputational fluid dynamicsviscous flow solution