Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-v5vhk Total loading time: 0 Render date: 2024-06-15T15:51:59.211Z Has data issue: false hasContentIssue false

Chapter Twelve - Incompressible Viscous Flows via Finite Element Methods

from Part Three - Finite Element Methods

Published online by Cambridge University Press:  05 June 2012

T. J. Chung
Affiliation:
University of Alabama, Huntsville
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Babuska, I. 1973 The finite element method with Lagrange multipliersNum. Math. 20 179CrossRefGoogle Scholar
Brezzi, F. 1974 On the existence, uniqueness and approximation of saddle point problems arising from Lagrangian multiplier. RAIRO, series Rouge AnalyNumer. R-2 129Google Scholar
Elshabka, A. M. 1995
Elshabka, A. M.Chung, T. J. 1999 Numerical solution of three-dimensional stream function vector components of vorticity transport equationsComp. Meth. Appl. Mech. Eng. 170 131CrossRefGoogle Scholar
Carey, G. F.Oden, J. T. 1986
Chorin, A. J. 1967 A numerical method for solving incompressible viscous flow problemsJ. Comp. Phys. 2 12CrossRefGoogle Scholar
Francis, J. G. F. 1962 The QR transformationComp. J. 4 265CrossRefGoogle Scholar
Gresho, P. M.Sani, R. L. 1999 Incompressible Flows and Finite Element MethodNew YorkWileyGoogle Scholar
Goda, K. 1979 A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flowsJ. Comp. Phys. 30 76CrossRefGoogle Scholar
Gunzburger, M. D.Nicholaides, R. A. 1993 Incompressible Computational Fluid Dynamics Trends and AdvancesUKCambridge University PressCrossRefGoogle Scholar
Hughes, T. J. R.Liu, W. K.Brooks, A. N. 1979 Finite element analysis of incompressible viscous flows by the penalty function formulationJ. Comp. Phys. 30 1CrossRefGoogle Scholar
Ladyszhenskaya, O. A. 1969 The Mathematical Theory of Viscous Incompressible FlowNew YorkGordon and BreachGoogle Scholar
Mahallati, A.Militzer, J. 1993 Application of the piecewise parabolic finite analytic methods to the three-dimensional cavity flowNum. Heat Trans. 24 337CrossRefGoogle Scholar
Patankar, S. V.Spalding, D. B. 1972 A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flowsInt. J. Heat Mass Trans. 15 1787CrossRefGoogle Scholar
Takami, H.Kuwahara, K. 1974 Numerical study of three-dimensional flow within a cavityJ. Phys. Soc. Japan. 73 1695CrossRefGoogle Scholar
Wilkinsom, J. H. 1965
Yanenko, N. N. 1971 The Method of Fractional StepsNew YorkSpringer-VerlagCrossRefGoogle Scholar
Zienkiewicz, O. C.Taylor, R. L. 1991 The Finite Element MethodUKMcGraw-HillGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×