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Published January 1979 | public
Journal Article

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

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.

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.

Additional details

Created:
August 19, 2023
Modified:
October 19, 2023