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Finite element analysis of incompressible viscous flows by the penalty function formulation

Hughes, Thomas J. R. and Liu, Wing Kam and Brooks, Alec (1979) Finite element analysis of incompressible viscous flows by the penalty function formulation. Journal of Computational Physics, 30 (1). pp. 1-60. ISSN 0021-9991. https://resolver.caltech.edu/CaltechAUTHORS:20200310-145803711

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Abstract

A review of recent work and new developments are presented for the penalty-function/finite element formulation of incompressible viscous flows. Basic features of the penalty method are described in the context of the steady and unsteady Navier-Stokes equations. Galerkin and “upwind” treatments of convection terms are discussed. Numerical results indicate the versatility and effectiveness of the new methods.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/0021-9991(79)90086-xDOIArticle
Additional Information:© 1979 Published by Elsevier. Received 31 July 1978, Revised 11 August 1978. We wish to express our gratitude to the Computer Center, California Institute of Technology, for providing computer funds, and to the National Science Foundation for providing support for two of us (W. K. L. and A. B.) under Grant ATA74-19135. We also wish to thank Dr. P. M. Gresho for suggesting to the editors that we write the present article.
Funders:
Funding AgencyGrant Number
NSFATA74-19135
Issue or Number:1
Record Number:CaltechAUTHORS:20200310-145803711
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200310-145803711
Official Citation:Thomas J.R. Hughes, Wing Kam Liu, Alec Brooks, Finite element analysis of incompressible viscous flows by the penalty function formulation, Journal of Computational Physics, Volume 30, Issue 1, 1979, Pages 1-60, ISSN 0021-9991, https://doi.org/10.1016/0021-9991(79)90086-X.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101839
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:10 Mar 2020 22:28
Last Modified:10 Mar 2020 22:28

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