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. doi:10.1016/0021-9991(79)90086-x. 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 | ||||||
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| 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. | ||||||
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| Issue or Number: | 1 | ||||||
| DOI: | 10.1016/0021-9991(79)90086-x | ||||||
| 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: | 16 Nov 2021 18:06 |
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