An adaptive least-squares method for the compressible Euler equations
1999; Wiley; Volume: 31; Issue: 7 Linguagem: Inglês
10.1002/(sici)1097-0363(19991215)31
ISSN1097-0363
AutoresFarzad Taghaddosi, Wagdi G. Habashi, G. Guèvremont, D. Ait‐Ali‐Yahia,
Tópico(s)Fluid Dynamics and Turbulent Flows
ResumoInternational Journal for Numerical Methods in FluidsVolume 31, Issue 7 p. 1121-1139 Research Article An adaptive least-squares method for the compressible Euler equations F. Taghaddosi, F. Taghaddosi CFD Laboratory, Department of Mechanical Engineering, Concordia University, 1455 de Maisonneuve Blvd. W., ER 301, Montréal, Québec, Canada, H3G 1M8Search for more papers by this authorW.G. Habashi, Corresponding Author W.G. Habashi CFD Laboratory, Department of Mechanical Engineering, Concordia University, 1455 de Maisonneuve Blvd. W., ER 301, Montréal, Québec, Canada, H3G 1M8Department of Mechanical Engineering, Concordia University, 1455 de Maisonneuve Blvd. West, ER 301, Montréal, Québec, Canada, H3G 1M8===Search for more papers by this authorG. Guèvremont, G. Guèvremont CFD Laboratory, Department of Mechanical Engineering, Concordia University, 1455 de Maisonneuve Blvd. W., ER 301, Montréal, Québec, Canada, H3G 1M8Search for more papers by this authorD. Ait-Ali-Yahia, D. Ait-Ali-Yahia CFD Laboratory, Department of Mechanical Engineering, Concordia University, 1455 de Maisonneuve Blvd. W., ER 301, Montréal, Québec, Canada, H3G 1M8Search for more papers by this author F. Taghaddosi, F. Taghaddosi CFD Laboratory, Department of Mechanical Engineering, Concordia University, 1455 de Maisonneuve Blvd. W., ER 301, Montréal, Québec, Canada, H3G 1M8Search for more papers by this authorW.G. Habashi, Corresponding Author W.G. Habashi CFD Laboratory, Department of Mechanical Engineering, Concordia University, 1455 de Maisonneuve Blvd. W., ER 301, Montréal, Québec, Canada, H3G 1M8Department of Mechanical Engineering, Concordia University, 1455 de Maisonneuve Blvd. West, ER 301, Montréal, Québec, Canada, H3G 1M8===Search for more papers by this authorG. Guèvremont, G. Guèvremont CFD Laboratory, Department of Mechanical Engineering, Concordia University, 1455 de Maisonneuve Blvd. W., ER 301, Montréal, Québec, Canada, H3G 1M8Search for more papers by this authorD. Ait-Ali-Yahia, D. Ait-Ali-Yahia CFD Laboratory, Department of Mechanical Engineering, Concordia University, 1455 de Maisonneuve Blvd. W., ER 301, Montréal, Québec, Canada, H3G 1M8Search for more papers by this author First published: 19 November 1999 https://doi.org/10.1002/(SICI)1097-0363(19991215)31:7 3.0.CO;2-RCitations: 14AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract An adaptive least-squares finite element method is used to solve the compressible Euler equations in two dimensions. Since the method is naturally diffusive, no explicit artificial viscosity is added to the formulation. The inherent artificial viscosity, however, is usually large and hence does not allow sharp resolution of discontinuities unless extremely fine grids are used. To remedy this, while retaining the advantages of the least-squares method, a moving-node grid adaptation technique is used. The outstanding feature of the adaptive method is its sensitivity to directional features like shock waves, leading to the automatic construction of adapted grids where the element edge(s) are strongly aligned with such flow phenomena. Using well-known transonic and supersonic test cases, it has been demonstrated that by coupling the least-squares method with a robust adaptive method shocks can be captured with high resolution despite using relatively coarse grids. Copyright © 1999 John Wiley & Sons, Ltd. References 1D. Ait-Ali-Yahia, W.G. Habashi, A. Tam, M.-G. Vallet and M. 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